# LaTeX2HTML 2002 (1.62)
# Associate images original text with physical files.


$key = q/rho,v_{max}=1-rho;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="106" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img361.png"
 ALT="$\rho   v_{max} = 1 - \rho$">|; 

$key = q/{displaymath}z(vecq):=sum_a,int_0^{q_a},t_a(omega),domega.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="369" HEIGHT="60" BORDER="0"
 SRC="|."$dir".q|img533.png"
 ALT="\begin{displaymath}
z(\vec q) := \sum_a   \int_0^{q_a}   t_a(\omega)   d\omega  .
\end{displaymath}">|; 

$key = q/v<v_l;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img173.png"
 ALT="$v &lt; v_l$">|; 

$key = q/sum_{n=m}^infty1slashn;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="79" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img573.png"
 ALT="$\sum_{n=m}^\infty 1/n$">|; 

$key = q/{displaymath}p_k=frac{1}{displaystylesum_je^{beta(U_j-U_{max})}}=frac{1}{displaya(U_j-U_{max})}}stackrel{betatoinfty}{too}frac{1}{1+0},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="77" BORDER="0"
 SRC="|."$dir".q|img106.png"
 ALT="\begin{displaymath}
p_k
= \frac{1}{\displaystyle \sum_j e^{\beta (U_j - U_{max}...
...{max})}}
\stackrel{\beta \to \infty}{\too}
\frac{1}{1 + 0}  ,
\end{displaymath}">|; 

$key = q/sum_pf^{rs,p}=Q^{rs};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="111" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img553.png"
 ALT="$\sum_p f^{rs,p} = Q^{rs}$">|; 

$key = q/1slash2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img144.png"
 ALT="$1/2$">|; 

$key = q/f_{dmn}=1slashe_{dmn}-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="137" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img272.png"
 ALT="$f_{dmn} =
1/e_{dmn} - 1$">|; 

$key = q/includegraphics[width=0.6hsize]{logistic-vs-gauss-logscale-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="333" HEIGHT="164" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img634.png"
 ALT="\includegraphics[width=0.6\hsize]{logistic-vs-gauss-logscale-gpl.eps}">|; 

$key = q/approx80;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img826.png"
 ALT="$\approx 80$">|; 

$key = q/{displaymath}X_{n+1}=Phi(X_n).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="333" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img737.png"
 ALT="\begin{displaymath}
X_{n+1} = \Phi(X_n)  .
\end{displaymath}">|; 

$key = q/possible;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img762.png"
 ALT="$ possible$">|; 

$key = q/N_q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img154.png"
 ALT="$N_q$">|; 

$key = q/includegraphics[width=hsize]{buffer-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="546" HEIGHT="100" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img207.png"
 ALT="\includegraphics[width=\hsize]{buffer-fig.eps}">|; 

$key = q/H;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img541.png"
 ALT="$H$">|; 

$key = q/(Pr(A)=frac{1}{1+e^{-mu,V_A+mu,V_B}}=frac{e^{mu,V_A}}{e^{mu,V_A}+e^{mu,V_B}}.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="268" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img638.png"
 ALT="\(
Pr(A) = \frac{1}{1 + e^{-\mu   V_A + \mu   V_B}}
= \frac{e^{\mu   V_A}}{e^{\mu   V_A} + e^{\mu   V_B}}  .
\)">|; 

$key = q/V(Deltax);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img496.png"
 ALT="$V(\Delta x)$">|; 

$key = q/g_tle1Big);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img373.png"
 ALT="$g_t \le 1 \Big)$">|; 

$key = q/N_rho;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img157.png"
 ALT="$N_\rho$">|; 

$key = q/includegraphics[width=0.8textwidth]{gzslashpassing.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="444" HEIGHT="88" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img167.png"
 ALT="\includegraphics[width=0.8\textwidth]{gz/passing.eps.gz}">|; 

$key = q/displaystylev_i:=cases{gap_i-1&withprobabilityp_{noise}ifpossiblefootnotemarkcrgap_i&elsecr};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="354" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img763.png"
 ALT="$\displaystyle v_i := \cases{
gap_i-1 &amp; with probability $p_{noise}$ if possible\footnotemark \cr
gap_i &amp; else \cr }$">|; 

$key = q/{displaymath}q_{max}=frac{v_{max}}{v_{max}+1}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="340" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img363.png"
 ALT="\begin{displaymath}
q_{max} = \frac{v_{max}}{v_{max}+1}  .
\end{displaymath}">|; 

$key = q/alpha>0.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img255.png"
 ALT="$\alpha &gt; 0.5$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashge3v.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img186.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/ge3v.eps.gz}">|; 

$key = q/N_{sites,a}={L_acdotn_{lanes,a}}slashell;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="173" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img194.png"
 ALT="$N_{sites,a} = {L_a
\cdot n_{lanes,a}}/ \ell$">|; 

$key = q/(frac{partiallogP_{n,B}}{partialbeta_k}=-xi_{n,k},P_{n,A}.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="168" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img687.png"
 ALT="\(
\frac{\partial \log P_{n,B}}{\partial \beta_k}
= - \xi_{n,k}   P_{n,A}  .
\)">|; 

$key = q/p;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="$p$">|; 

$key = q/N_{people}sim7.5~hbox{mio};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="124" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img720.png"
 ALT="$N_{people} \sim
7.5&nbsp;\hbox{mio}$">|; 

$key = q/{figure}center{center{{tiny{{tt{obeylinesopenup-2pt..5.....5..........5.......5....1....2...1....4.....................center{{par{{{center{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="334" HEIGHT="403" BORDER="0"
 SRC="|."$dir".q|img376.png"
 ALT="\begin{figure}\begin{center}
\begin{center}\tiny\tt\obeylines\openup-2pt
..5.......
.....1....2...1....4.....................
\end{center}\par \end{center}\end{figure}">|; 

$key = q/x=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img455.png"
 ALT="$x=0$">|; 

$key = q/1000slash7.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img159.png"
 ALT="$1000/7.5$">|; 

$key = q/{displaymath}a={DvoverDt}={1overtau}Big(V(Deltax)-vBig).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="372" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img491.png"
 ALT="\begin{displaymath}
a = {Dv \over Dt} = {1 \over \tau} \Big( V(\Delta x) - v \Big)  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.6textwidth]{q-v-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="332" HEIGHT="350" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img511.png"
 ALT="\includegraphics[width=0.6\textwidth]{q-v-fig.eps}">|; 

$key = q/includegraphics[width=0.8hsize]{ob-plot-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="445" HEIGHT="311" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img259.png"
 ALT="\includegraphics[width=0.8\hsize]{ob-plot-gpl.eps}">|; 

$key = q/U_{early}(T_{early});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="99" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img76.png"
 ALT="$U_{early}(T_{early})$">|; 

$key = q/{displaymath}frac{partialL}{partialbeta_k}=sum_nBig(y_{n,A},P_{n,B},xi_{n,k}-y_{n,B},P_{n,A},xi_{n,k}Big){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="427" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img689.png"
 ALT="\begin{displaymath}
\frac{\partial L}{\partial \beta_k}
= \sum_n \Big(
y_{n,A}   P_{n,B}   \xi_{n,k} - y_{n,B}   P_{n,A}   \xi_{n,k}
\Big)
\end{displaymath}">|; 

$key = q/1slash360~sec;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img714.png"
 ALT="$1/360&nbsp;sec$">|; 

$key = q/eps_A;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img611.png"
 ALT="$\eps_A$">|; 

$key = q/{displaymath}f_i={rho_ioversum_{j=1}^nrho_jcdotn},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="338" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img817.png"
 ALT="\begin{displaymath}
f_i = {\rho_i \over \sum_{j=1}^n \rho_j \cdot n}  ,
\end{displaymath}">|; 

$key = q/includegraphics[width=0.48hsize]{gzslash97-003.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="268" HEIGHT="97" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img829.png"
 ALT="\includegraphics[width=0.48\hsize]{gz/97-003.eps.gz}">|; 

$key = q/{displaymath}Pr(x<X)=int_{-infty}^Xf(x)=F(X)-F(-infty).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="430" HEIGHT="61" BORDER="0"
 SRC="|."$dir".q|img608.png"
 ALT="\begin{displaymath}
Pr(x &lt; X) = \int_{-\infty}^X f(x)
= F(X) - F(-\infty)  .
\end{displaymath}">|; 

$key = q/eps_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img601.png"
 ALT="$\eps_i$">|; 

$key = q/includegraphics[width=0.6hsize]{logistic-vs-gauss-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="333" HEIGHT="163" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img633.png"
 ALT="\includegraphics[width=0.6\hsize]{logistic-vs-gauss-gpl.eps}">|; 

$key = q/weight2=v-gap_o=3-10=-7<1=weight1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="353" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="$weight2 = v - gap_o = 3 - 10 = -7 &lt; 1 = weight1$">|; 

$key = q/includegraphics[width=hsize]{gzslashnagel-twolane-basic1.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="540" HEIGHT="415" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img176.png"
 ALT="\includegraphics[width=\hsize]{gz/nagel-twolane-basic1.eps.gz}">|; 

$key = q/V_{a,i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img223.png"
 ALT="$V_{a,i}$">|; 

$key = q/vecr;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img57.png"
 ALT="$\vec r$">|; 

$key = q/{displaymath}T(p)=T_{cmp}(p)+T_{cmm}(p),{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="374" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img268.png"
 ALT="\begin{displaymath}
T(p) = T_{cmp}(p) + T_{cmm}(p)  ,
\end{displaymath}">|; 

$key = q/N_{trips};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img717.png"
 ALT="$N_{trips}$">|; 

$key = q/leftlangleU_Arightrangle=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img587.png"
 ALT="$\left\langle U_A\right\rangle =3$">|; 

$key = q/0to1to2to3toldots;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="154" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img139.png"
 ALT="$0\to1\to2\to3\to\ldots$">|; 

$key = q/gap_b;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img789.png"
 ALT="$gap_b$">|; 

$key = q/e^{V_A};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img580.png"
 ALT="$e^{V_A}$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashleft2.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img845.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/left2.eps.gz}">|; 

$key = q/v_{max}=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img356.png"
 ALT="$v_{max}=1$">|; 

$key = q/(1-p_{noise}),v_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="120" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img149.png"
 ALT="$(1 - p_{noise})   v_{max}$">|; 

$key = q/Pr(epsilon<C);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img617.png"
 ALT="$Pr( \epsilon &lt; C )$">|; 

$key = q/=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img65.png"
 ALT="$=$">|; 

$key = q/d^*slashv_{max}=14;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="99" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img799.png"
 ALT="$d^*/v_{max}=14$">|; 

$key = q/rs,p;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img526.png"
 ALT="$rs,p$">|; 

$key = q/O(F(DeltaT),M,ElogK);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="158" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img899.png"
 ALT="$O(F(\Delta T)   M   E \log K)$">|; 

$key = q/Deltax;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img387.png"
 ALT="$\Delta x$">|; 

$key = q/beta_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img220.png"
 ALT="$\beta_i$">|; 

$key = q/vlegap;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img793.png"
 ALT="$v \le gap$">|; 

$key = q/{displaymath}rho'=A,e^{-k^2Dt},e^{i(omegat-kx)}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="356" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img489.png"
 ALT="\begin{displaymath}
\rho' = A   e^{-k^2 D t}   e^{i(\omega t - kx)}
\end{displaymath}">|; 

$key = q/y;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$y$">|; 

$key = q/includegraphics[width=0.8hsize]{cell-trans-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="140" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img437.png"
 ALT="\includegraphics[width=0.8\hsize]{cell-trans-fig.eps}">|; 

$key = q/includegraphics[width=0.8hsize]{gzslashsynchronized.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="271" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img350.png"
 ALT="\includegraphics[width=0.8\hsize]{gz/synchronized.eps.gz}">|; 

$key = q/tildez;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img566.png"
 ALT="$\tilde z$">|; 

$key = q/{displaymath}Pi:=sum_ipi_i.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="320" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img123.png"
 ALT="\begin{displaymath}
\Pi := \sum_i \pi_i  .
\end{displaymath}">|; 

$key = q/{displaymath}f(eta)=mu,e^{-mu,(eta-gamma)},exp[-e^{-mu,(eta-gamma)}]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="395" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img234.png"
 ALT="\begin{displaymath}
f(\eta) = \mu   e^{- \mu   (\eta - \gamma) }  
\exp[ - e^{- \mu   (\eta - \gamma)} ]
\end{displaymath}">|; 

$key = q/includegraphics[height=0.3hsize]{load-bal-repl-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="220" HEIGHT="166" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img324.png"
 ALT="\includegraphics[height=0.3\hsize]{load-bal-repl-fig.eps}">|; 

$key = q/epsilon_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img624.png"
 ALT="$\epsilon_1$">|; 

$key = q/displaystylemax{0,v_{{rm{des}-epsilon,a,eta};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="139" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img409.png"
 ALT="$\displaystyle \max \{ 0 , v_{\rm des} - \epsilon   a   \eta \}$">|; 

$key = q/n+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img735.png"
 ALT="$n+1$">|; 

$key = q/t_{dep};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img82.png"
 ALT="$t_{dep}$">|; 

$key = q/Rightarrow;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img644.png"
 ALT="$\Rightarrow$">|; 

$key = q/RCSfile:book.tex,v;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="153" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img37.png"
 ALT="$RCSfile: images.pl,v $">|; 

$key = q/displaystylev_i:=cases{v_i&withprobability{p_{noise}{crv_i+1&elsecr};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="265" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img765.png"
 ALT="$\displaystyle v_i := \cases{
v_i &amp; with probability $p_{noise}$ \cr
v_i + 1 &amp; else \cr }$">|; 

$key = q/jnek;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img108.png"
 ALT="$j \ne k$">|; 

$key = q/displaystylev_{{rm{des};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img406.png"
 ALT="$\displaystyle v_{\rm des}$">|; 

$key = q/overlinev=(v+tildev)slash2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img412.png"
 ALT="$\overline v = (v + \tilde v)/2$">|; 

$key = q/{displaymath}rho'=A,e^{i(omegat-kx)}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="335" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img446.png"
 ALT="\begin{displaymath}
\rho' = A   e^{i (\omega t - kx)}  .
\end{displaymath}">|; 

$key = q/T_{cmp};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img266.png"
 ALT="$T_{cmp}$">|; 

$key = q/sumv_i=sumg_i=N_{veh}timesleftlanglegrightrangle;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="185" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img358.png"
 ALT="$\sum v_i = \sum g_i = N_{veh} \times \left\langle g\right\rangle $">|; 

$key = q/T_{early}=max[0,t_{des}-t_{arr}];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="190" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img119.png"
 ALT="$T_{early} = \max[ 0, t_{des}-t_{arr} ]$">|; 

$key = q/q>cap;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img513.png"
 ALT="$q &gt; cap$">|; 

$key = q/epsilon:=epsilon_B-epsilon_A;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="90" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img613.png"
 ALT="$\epsilon := \epsilon_B - \epsilon_A$">|; 

$key = q/v_{max}-p_{noise};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="97" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img150.png"
 ALT="$v_{max} - p_{noise}$">|; 

$key = q/epsilon_*-epsilon_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img647.png"
 ALT="$\epsilon_* - \epsilon_1$">|; 

$key = q/N_{tr}(t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img862.png"
 ALT="$N_{tr}(t)$">|; 

$key = q/partial_tv+v,partial_xv;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img493.png"
 ALT="$\partial_t v + v   \partial_x v$">|; 

$key = q/c=-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img480.png"
 ALT="$c =
-1$">|; 

$key = q/{displaymath}=Pr(epsilon_B-epsilon_A<V_A-V_B){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="367" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img586.png"
 ALT="\begin{displaymath}
= Pr( \epsilon_B - \epsilon_A &lt; V_A - V_B )
\end{displaymath}">|; 

$key = q/50%;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img652.png"
 ALT="$50\%$">|; 

$key = q/>1500;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img914.png"
 ALT="$&gt;1500$">|; 

$key = q/T(q);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$T(q)$">|; 

$key = q/includegraphics[width=0.6hsize]{tr-light-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="333" HEIGHT="372" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img487.png"
 ALT="\includegraphics[width=0.6\hsize]{tr-light-fig.eps}">|; 

$key = q/p(X);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img741.png"
 ALT="$p(X)$">|; 

$key = q/sum_ip_i=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img91.png"
 ALT="$\sum_i p_i = 1$">|; 

$key = q/includegraphics[width=0.8hsize]{metis-plot-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="445" HEIGHT="312" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img261.png"
 ALT="\includegraphics[width=0.8\hsize]{metis-plot-gpl.eps}">|; 

$key = q/betato0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img95.png"
 ALT="$\beta \to 0$">|; 

$key = q/0.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img215.png"
 ALT="$0.5$">|; 

$key = q/p=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img256.png"
 ALT="$p=1$">|; 

$key = q/v_{t+1}=max[v_{t+1}-1,0];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="165" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img366.png"
 ALT="$v_{t+1} = \max[ v_{t+1} - 1 , 0 ]$">|; 

$key = q/x_o(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img776.png"
 ALT="$x_o(i)$">|; 

$key = q/{displaymath}F(-infty)=frac{1}{1+e^{infty}}=frac{1}{infty}=0;F(+infty)=frac{1}{1+e^{-infty}}=1,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="495" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img631.png"
 ALT="\begin{displaymath}
F(-\infty) = \frac{1}{1 + e^{\infty}}
= \frac{1}{\infty} = 0  ;  \
F(+\infty) = \frac{1}{1+e^{-\infty}} = 1  ,
\end{displaymath}">|; 

$key = q/{displaymath}7.5cdot10^6~hbox{persons}~times~3~hbox{tripsperperson}~times~50~hbox{linkspertrip}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="463" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img724.png"
 ALT="\begin{displaymath}
7.5 \cdot 10^6&nbsp;\hbox{persons}&nbsp;\times&nbsp; 3&nbsp;\hbox{trips per person}
&nbsp;\times&nbsp; 50&nbsp;\hbox{links per trip}
\end{displaymath}">|; 

$key = q/ell=1slashrho_{jam}approx7.5~m;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="141" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img142.png"
 ALT="$\ell = 1/\rho_{jam} \approx 7.5&nbsp;m$">|; 

$key = q/includegraphics[width=0.6hsize]{fdiag-184-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="329" HEIGHT="200" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img365.png"
 ALT="\includegraphics[width=0.6\hsize]{fdiag-184-fig.eps}">|; 

$key = q/includegraphics[width=0.49hsize]{gotth-9am-49it-prob-tif.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="271" HEIGHT="198" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="\includegraphics[width=0.49\hsize]{gotth-9am-49it-prob-tif.eps}">|; 

$key = q/P_Aproptoe^{V_A};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img709.png"
 ALT="$P_A \propto e^{V_A}$">|; 

$key = q/n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="$n$">|; 

$key = q/t1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img803.png"
 ALT="$t1$">|; 

$key = q/Napprox500,000;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="90" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img904.png"
 ALT="$N \approx 500 000$">|; 

$key = q/V_X;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img576.png"
 ALT="$V_X$">|; 

$key = q/{displaymath}q_T=frac{N_q}{T}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="311" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img156.png"
 ALT="\begin{displaymath}
q_T = \frac{N_q}{T}  .
\end{displaymath}">|; 

$key = q/{displaymath}tildez:=z(vecq^n)+sum_ay_a,t_a(q_a^n).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="370" HEIGHT="55" BORDER="0"
 SRC="|."$dir".q|img565.png"
 ALT="\begin{displaymath}
\tilde z := z(\vec q^n) + \sum_a y_a   t_a(q_a^n)  .
\end{displaymath}">|; 

$key = q/v(q);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$v(q)$">|; 

$key = q/n_{lanes,a};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img192.png"
 ALT="$n_{lanes,a}$">|; 

$key = q/{displaymath}times~5~hbox{options}~times~4~hbox{bytesperentry}approx600~hbox{GByte},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="429" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img732.png"
 ALT="\begin{displaymath}
\times&nbsp; 5&nbsp;\hbox{options}&nbsp;\times&nbsp; 4&nbsp;\hbox{bytes per entry} \approx
600&nbsp;\hbox{GByte}  ,
\end{displaymath}">|; 

$key = q/{displaymath}(nabla^2L)_{kl}=frac{partial^2L}{partialbeta_k,partialbeta_l}sum_nBig(...Big)=-sum_nP_{n,A},P_{n,B},xi_{n,k},xi_{n,l}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="491" HEIGHT="61" BORDER="0"
 SRC="|."$dir".q|img700.png"
 ALT="\begin{displaymath}
(\nabla^2 L)_{kl} = \frac{\partial^2 L}{\partial \beta_k   ...
...g)
= - \sum_n P_{n,A}   P_{n,B}   \xi_{n,k}   \xi_{n,l}  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.8hsize]{efficiency-allstr-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="186" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img263.png"
 ALT="\includegraphics[width=0.8\hsize]{efficiency-allstr-gpl.eps}">|; 

$key = q/includegraphics[width=0.48hsize]{gzslash97-001.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="266" HEIGHT="71" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img827.png"
 ALT="\includegraphics[width=0.48\hsize]{gz/97-001.eps.gz}">|; 

$key = q/{displaymath}vecq^{n+1}=alpha,vecq^n+(1-alpha),vecx^n.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="369" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img560.png"
 ALT="\begin{displaymath}
\vec q^{n+1} = \alpha   \vec q^n + (1-\alpha)   \vec x^n  .
\end{displaymath}">|; 

$key = q/rho<rho_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img371.png"
 ALT="$\rho &lt; \rho_1$">|; 

$key = q/alpha;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img571.png"
 ALT="$\alpha$">|; 

$key = q/rho_L;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img342.png"
 ALT="$\rho_L$">|; 

$key = q/3.5cdot7.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img758.png"
 ALT="$3.5 \cdot 7.5$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashfree1-vel.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="246" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img834.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/free1-vel.eps.gz}">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashvmax5.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img846.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/vmax5.eps.gz}">|; 

$key = q/includegraphics[width=0.8hsize]{fb1-dataflow-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="444" HEIGHT="294" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img73.png"
 ALT="\includegraphics[width=0.8\hsize]{fb1-dataflow-fig.eps}">|; 

$key = q/x^TCx>0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="74" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img696.png"
 ALT="$x^T C x &gt; 0$">|; 

$key = q/{displaymath}p_i={e^{beta,U_i}oversum_je^{beta,U_j}},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="330" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img211.png"
 ALT="\begin{displaymath}
p_i = {e^{\beta   U_i} \over \sum_je^{\beta   U_j}}  ,
\end{displaymath}">|; 

$key = q/vecq^n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img554.png"
 ALT="$\vec q^n$">|; 

$key = q/(beta_1,...,beta_k);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img675.png"
 ALT="$(\beta_1,...,\beta_k)$">|; 

$key = q/t-tau;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img398.png"
 ALT="$t - \tau$">|; 

$key = q/X_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img548.png"
 ALT="$X_1$">|; 

$key = q/{displaymath}U_{dep}=-frac{0.4}{60~sec},T_{trip}-frac{0.25}{60~sec},T_{early}-frac{1.5}{60~sec},T_{late}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="456" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img79.png"
 ALT="\begin{displaymath}
U_{dep} = - \frac{0.4}{60&nbsp;sec}   T_{trip} - \frac{0.25}{60&nbsp;sec}   T_{early} - \frac{1.5}{60&nbsp;sec}   T_{late} .
\end{displaymath}">|; 

$key = q/{displaymath}v_L={1overN_L},sum_{i=1}^{N_L}v_i.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="335" HEIGHT="67" BORDER="0"
 SRC="|."$dir".q|img328.png"
 ALT="\begin{displaymath}
v_L = {1 \over N_L}   \sum_{i=1}^{N_L} v_i  .
\end{displaymath}">|; 

$key = q/T_{early}(t_{dep});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img87.png"
 ALT="$T_{early}(t_{dep})$">|; 

$key = q/includegraphics[width=0.8textwidth]{gzslashturn.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="444" HEIGHT="246" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img182.png"
 ALT="\includegraphics[width=0.8\textwidth]{gz/turn.eps.gz}">|; 

$key = q/N_{spl}=250,p^{0.59};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="114" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img251.png"
 ALT="$N_{spl} = 250  
p^{0.59}$">|; 

$key = q/p_{noise};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img161.png"
 ALT="$p_{noise}$">|; 

$key = q/includegraphics[height=0.7textheight]{parallel-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="412" HEIGHT="796" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img250.png"
 ALT="\includegraphics[height=0.7\textheight]{parallel-fig.eps}">|; 

$key = q/includegraphics[width=0.3textwidth]{gzslashtraffic2.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="166" HEIGHT="166" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img50.png"
 ALT="\includegraphics[width=0.3\textwidth]{gz/traffic2.eps.gz}">|; 

$key = q/Q^{rs};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img519.png"
 ALT="$Q^{rs}$">|; 

$key = q/15~kmslashh;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img209.png"
 ALT="$15&nbsp;km/h$">|; 

$key = q/q_a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img516.png"
 ALT="$q_a$">|; 

$key = q/t_{des}=8:00;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img85.png"
 ALT="$t_{des} = 8:00$">|; 

$key = q/displaystylex_{t+h};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img410.png"
 ALT="$\displaystyle x_{t+h}$">|; 

$key = q/leftdelimiter"426830AU_Brightdelimiter"526930B=9;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$\left \delimiter ''426830A U_B\right \delimiter ''526930B =9$">|; 

$key = q/c;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img464.png"
 ALT="$c$">|; 

$key = q/{displaymath}n_{nb}(p)=2,(3sqrt{p}-1),(sqrt{p}-1)slashp,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="393" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img287.png"
 ALT="\begin{displaymath}
n_{nb}(p) = 2   (3 \sqrt{p} - 1)   (\sqrt{p} - 1) / p  ,
\end{displaymath}">|; 

$key = q/n_{nb}(1)=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img288.png"
 ALT="$n_{nb}(1) = 0$">|; 

$key = q/w;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img63.png"
 ALT="$w$">|; 

$key = q/q=rhocdotv;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img815.png"
 ALT="$q = \rho \cdot v$">|; 

$key = q/Eapprox20k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img903.png"
 ALT="$E \approx 20k$">|; 

$key = q/f_{ovr};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img271.png"
 ALT="$f_{ovr}$">|; 

$key = q/displaystyle{{it{qslash}=frac{{it{Nslash}{{it{T};;;;;;[vehiclesslashhour];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="186" HEIGHT="51" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img808.png"
 ALT="$\displaystyle {\it q\/} = \frac{\it N\/}{\it T} \;\;\;\;\;\; [vehicles/hour]$">|; 

$key = q/rho=NslashL;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img809.png"
 ALT="$\rho = N /
L$">|; 

$key = q/theta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img56.png"
 ALT="$\theta$">|; 

$key = q/v(t+tau)=v(t)+tau,dotv(t)+...;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="196" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img388.png"
 ALT="$v(t+\tau) = v(t) + \tau   \dot v(t) + ...$">|; 

$key = q/T=5~min;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img327.png"
 ALT="$T=5&nbsp;min$">|; 

$key = q/includegraphics[width=hsize]{gzslashi2to1.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="542" HEIGHT="378" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img856.png"
 ALT="\includegraphics[width=\hsize]{gz/i2to1.eps.gz}">|; 

$key = q/p[i];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img126.png"
 ALT="$p[i]$">|; 

$key = q/{displaymath}d(v)+v,tauleqd(tildev)+g,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="353" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img399.png"
 ALT="\begin{displaymath}
d(v) + v   \tau \leq d(\tilde v) + g  ,
\end{displaymath}">|; 

$key = q/(F(epsilon)=frac{1}{1+e^{-mu,epsilon}}.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="114" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img630.png"
 ALT="\(
F(\epsilon) = \frac{1}{1 + e^{-\mu   \epsilon}}  .
\)">|; 

$key = q/includegraphics[width=hsize]{wiedemann-fdiag-tif.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="550" HEIGHT="376" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img177.png"
 ALT="\includegraphics[width=\hsize]{wiedemann-fdiag-tif.eps}">|; 

$key = q/V(Deltax(t));MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img392.png"
 ALT="$V(\Delta x(t))$">|; 

$key = q/2:1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img655.png"
 ALT="$2:1$">|; 

$key = q/T_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img713.png"
 ALT="$T_i$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashstop1.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img840.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/stop1.eps.gz}">|; 

$key = q/{displaymath}f(x)=frac{1}{sqrt{2pi},sigma},expleft(-frac{1}{2},left(frac{x}{sigma}right)^2right).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="393" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img602.png"
 ALT="\begin{displaymath}
f(x)
= \frac{1}{\sqrt{2\pi}   \sigma}
  \exp\left( - \frac{1}{2}   \left(\frac{x}{\sigma}\right)^2 \right)  .
\end{displaymath}">|; 

$key = q/gap>v_{oncoming};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="115" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="$gap &gt; v_{oncoming}$">|; 

$key = q/displaystyle{{it{rhoslash}=frac{{it{Nslash}{{it{k*L};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="51" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img814.png"
 ALT="$\displaystyle {\it\rho\/} = \frac{\it N\/}{\it k * L}$">|; 

$key = q/z(vecq);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img535.png"
 ALT="$z(\vec q)$">|; 

$key = q/includegraphics[angle=-90,width=0.6hsize]{gzslash5actshusband.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="334" HEIGHT="2" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="\includegraphics[angle=-90,width=0.6\hsize]{gz/5actshusband.eps.gz}">|; 

$key = q/tildebeta_k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img708.png"
 ALT="$\tilde \beta_k$">|; 

$key = q/x=501;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img820.png"
 ALT="$x=501$">|; 

$key = q/includegraphics[width=0.7hsize]{gzslash97-005.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="388" HEIGHT="164" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img831.png"
 ALT="\includegraphics[width=0.7\hsize]{gz/97-005.eps.gz}">|; 

$key = q/N_{acs}(t)=G[f_{ch}](t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="137" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img871.png"
 ALT="$N_{acs}(t) = G[f_{ch}](t)$">|; 

$key = q/includegraphics[width=0.8hsize]{gpl-tif.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="437" HEIGHT="308" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img64.png"
 ALT="\includegraphics[width=0.8\hsize]{gpl-tif.eps}">|; 

$key = q/G[.];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img875.png"
 ALT="$G[.]$">|; 

$key = q/includegraphics[height=0.4hsize,width=0.6hsize]{gzslashgauss.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="335" HEIGHT="222" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img616.png"
 ALT="\includegraphics[height=0.4\hsize,width=0.6\hsize]{gz/gauss.eps.gz}">|; 

$key = q/{displaymath}=Pr(V_1+epsilon_1>V_j+epsilon_j,foralljne1)=Pr(epsilon_j<DeltaV_{1j}+epsilon_1,foralljne1).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="518" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img641.png"
 ALT="\begin{displaymath}
= Pr( V_1 + \epsilon_1 &gt; V_j + \epsilon_j, \forall j \ne 1)
...
... \epsilon_j &lt; \Delta V_{1j} + \epsilon_1, \forall j \ne 1)  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.8hsize]{eff-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="304" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img323.png"
 ALT="\includegraphics[width=0.8\hsize]{eff-gpl.eps}">|; 

$key = q/f=0.1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img905.png"
 ALT="$f =
0.1$">|; 

$key = q/v_{safe};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img134.png"
 ALT="$v_{safe}$">|; 

$key = q/h=tau;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img425.png"
 ALT="$h = \tau$">|; 

$key = q/20%;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img907.png"
 ALT="$20\%$">|; 

$key = q/includegraphics[width=0.6hsize]{gzslashreroute-unpredict.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="332" HEIGHT="304" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img754.png"
 ALT="\includegraphics[width=0.6\hsize]{gz/reroute-unpredict.eps.gz}">|; 

$key = q/{displaymath}rho_T={1overT}sumell_islashv_i.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="339" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img346.png"
 ALT="\begin{displaymath}
\rho_T = {1 \over T} \sum \ell_i/v_i  .
\end{displaymath}">|; 

$key = q/{displaymath}int_{-infty}^C,f(epsilon),depsilon=F(C)-F(-infty)=frac{1}{1+e^{-mu,C}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="432" HEIGHT="61" BORDER="0"
 SRC="|."$dir".q|img637.png"
 ALT="\begin{displaymath}
\int_{-\infty}^C   f(\epsilon)   d\epsilon
= F(C) - F(-\infty)
= \frac{1}{1 + e^{-\mu   C}}  .
\end{displaymath}">|; 

$key = q/{displaymath}q_L=rho_L,v_L={1overL,N_{lanes}},sum_{i=1}^{N_{veh}}v_i{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="380" HEIGHT="67" BORDER="0"
 SRC="|."$dir".q|img341.png"
 ALT="\begin{displaymath}
q_L = \rho_L   v_L
= {1 \over L   N_{lanes}}   \sum_{i=1}^{N_{veh}} v_i
\end{displaymath}">|; 

$key = q/X;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img607.png"
 ALT="$X$">|; 

$key = q/L_a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img190.png"
 ALT="$L_a$">|; 

$key = q/V_B;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img590.png"
 ALT="$V_B$">|; 

$key = q/a(t)proptoV[Deltax(t)]-v(t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="160" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img774.png"
 ALT="$a(t)
\propto V[\Delta x(t)] - v(t)$">|; 

$key = q/v(t+tau)proptoV[Deltax(t)];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="142" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img775.png"
 ALT="$v(t+\tau) \propto V[\Delta x(t)]$">|; 

$key = q/includegraphics[width=0.5hsize]{gzslashps_t-intersec.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="278" HEIGHT="226" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img181.png"
 ALT="\includegraphics[width=0.5\hsize]{gz/ps_t-intersec.eps.gz}">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashyield1.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img842.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/yield1.eps.gz}">|; 

$key = q/T(1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img317.png"
 ALT="$T(1)$">|; 

$key = q/v(rho);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$v(\rho )$">|; 

$key = q/{displaymath}F(eta)=exp[-e^{-mu,(eta-gamma)}],{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="362" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img233.png"
 ALT="\begin{displaymath}
F(\eta) = \exp[ - e^{- \mu   (\eta - \gamma) } ]  ,
\end{displaymath}">|; 

$key = q/37.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img247.png"
 ALT="$37.5$">|; 

$key = q/(f(epsilon)=frac{mu,e^{-mu,epsilon}}<comment_mark>3997{(1+e^{-mu,epsilon})^2}.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="127" HEIGHT="42" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img632.png"
 ALT="\(
f(\epsilon) = \frac{\mu   e^{-\mu   \epsilon}}%%
{(1+e^{-\mu   \epsilon})^2}  .
\)">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashcs-stop.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img851.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/cs-stop.eps.gz}">|; 

$key = q/V=vecbetacdotvecx;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img232.png"
 ALT="$V = \vec \beta \cdot \vec x$">|; 

$key = q/vecx^n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img559.png"
 ALT="$\vec x^n$">|; 

$key = q/10^6;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img70.png"
 ALT="$10^6$">|; 

$key = q/q(rho);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$q(\rho )$">|; 

$key = q/t1+t_{rct};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="$t1 + t_{rct}$">|; 

$key = q/g_t<v_{max}-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="100" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img135.png"
 ALT="$g_t &lt; v_{max} - 1$">|; 

$key = q/frac{pi^2}{6mu^2}simfrac{1}{mu^2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img622.png"
 ALT="$\frac{\pi^2}{6 \mu^2} \sim \frac{1}{\mu^2}$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashgap-gt-vmax.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img849.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/gap-gt-vmax.eps.gz}">|; 

$key = q/T_{late}=max[0,t_{arr}-t_{des}];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="181" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img120.png"
 ALT="$T_{late} = \max[ 0, t_{arr} - t_{des} ]$">|; 

$key = q/y_{n,B};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img673.png"
 ALT="$y_{n,B}$">|; 

$key = q/{displaymath}{{tt{tmpArrivalTime=now+outLinkTravelTime,}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img71.png"
 ALT="\begin{displaymath}
{\tt tmpArrivalTime = now + outLinkTravelTime  ,}
\end{displaymath}">|; 

$key = q/{displaymath}-{c_0^2overrho},partial_xrho.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="309" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img499.png"
 ALT="\begin{displaymath}
- {c_0^2 \over \rho}   \partial_x \rho  .
\end{displaymath}">|; 

$key = q/T(p);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img301.png"
 ALT="$T(p)$">|; 

$key = q/Pr(A);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img610.png"
 ALT="$Pr(A)$">|; 

$key = q/-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img482.png"
 ALT="$-1$">|; 

$key = q/{displaymath}c^{rs,p}=sum_a,t_a,delta_a^{rs,p}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="343" HEIGHT="55" BORDER="0"
 SRC="|."$dir".q|img531.png"
 ALT="\begin{displaymath}
c^{rs,p} = \sum_a   t_a   \delta_a^{rs,p}  .
\end{displaymath}">|; 

$key = q/N_t(x);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img432.png"
 ALT="$N_t(x)$">|; 

$key = q/epsilon=epsilon_1-epsilon_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img628.png"
 ALT="$\epsilon = \epsilon_1 - \epsilon_2$">|; 

$key = q/P_{n,X};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img677.png"
 ALT="$P_{n,X}$">|; 

$key = q/v_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img332.png"
 ALT="$v_i$">|; 

$key = q/(=frac{e^{mu,V_1}}{sum_{j}e^{muV_j}}.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="81" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img650.png"
 ALT="\(
= \frac{e^{\mu   V_1}}{\sum_{j} e^{\mu V_j}}  .
\)">|; 

$key = q/L=5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img810.png"
 ALT="$L=5$">|; 

$key = q/{displaymath}c^{rs,p}cases{=c^{rs}&ifpath{p{usedfor{rs{crgec^{rs}&ifpath{p{notusedfor{rs{cr}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="405" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img532.png"
 ALT="\begin{displaymath}
c^{rs,p} \cases{ = c^{rs} &amp; if path $p$ used for $rs$ \cr
\ge c^{rs} &amp; if path $p$ not used for $rs$ \cr}
\end{displaymath}">|; 

$key = q/{displaymath}rho_T=frac{N_rho}{T,v_{max}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="327" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img158.png"
 ALT="\begin{displaymath}
\rho_T = \frac{N_\rho}{T   v_{max}}  .
\end{displaymath}">|; 

$key = q/includegraphics[height=0.4hsize,width=0.6hsize]{erf-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="333" HEIGHT="223" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img615.png"
 ALT="\includegraphics[height=0.4\hsize,width=0.6\hsize]{erf-gpl.eps}">|; 

$key = q/80-85%;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img906.png"
 ALT="$80-85\%$">|; 

$key = q/{displaymath}v_{spot}={sumw_iv_ioversumw_i}={sumv_i^2oversumv_i}={sum(v_i^2-overoverNoverline{v}}=overline{v}+{sigma^2overoverline{v}},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="532" HEIGHT="77" BORDER="0"
 SRC="|."$dir".q|img334.png"
 ALT="\begin{displaymath}
v_{spot} = {\sum w_i v_i \over \sum w_i}
= {\sum v_i^2 \over...
...verline{v}}
= \overline{v} + {\sigma^2 \over \overline{v}}  ,
\end{displaymath}">|; 

$key = q/p_n=0.2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="62" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img145.png"
 ALT="$p_n = 0.2$">|; 

$key = q/v_{0,a};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img189.png"
 ALT="$v_{0,a}$">|; 

$key = q/M;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img695.png"
 ALT="$M$">|; 

$key = q/{displaymath}partial_trho'+Big({dqoverdrho}(overlinerho)+rho',frac{d^2q}{drho^2}(overlinerho)+ldotsBig),partial_xrho'=0.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="425" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img444.png"
 ALT="\begin{displaymath}
\partial_t \rho'
+ \Big( {dq \over d\rho}(\overline\rho)
+...
...} (\overline\rho)
+ \ldots \Big)
  \partial_x \rho'
= 0  .
\end{displaymath}">|; 

$key = q/Deltat;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img303.png"
 ALT="$\Delta t$">|; 

$key = q/sigma;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img335.png"
 ALT="$\sigma$">|; 

$key = q/weight4=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="89" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img801.png"
 ALT="$weight4 = 1$">|; 

$key = q/a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img188.png"
 ALT="$a$">|; 

$key = q/{displaymath}weight4=maxleft[{d^*-doverv_{max}},0right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="371" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img797.png"
 ALT="\begin{displaymath}
weight4 = \max\left[ { d^* - d \over v_{max} } , 0 \right]
\end{displaymath}">|; 

$key = q/T_{trip};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img75.png"
 ALT="$T_{trip}$">|; 

$key = q/N_{acs}(t)=G[f_{ch}(.)](t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="154" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img867.png"
 ALT="$N_{acs}(t) =
G[f_{ch}(.)](t)$">|; 

$key = q/750-1000;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="79" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img921.png"
 ALT="$750-1000$">|; 

$key = q/_{{it{maxslash};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img770.png"
 ALT="$_{\it max\/}$">|; 

$key = q/includegraphics[width=0.8hsize]{mapping-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="205" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img738.png"
 ALT="\includegraphics[width=0.8\hsize]{mapping-fig.eps}">|; 

$key = q/tildev;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img402.png"
 ALT="$\tilde v$">|; 

$key = q/partial_toverline{rho}=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img439.png"
 ALT="$\partial_t \overline{\rho}=0$">|; 

$key = q/(P_{n,A}=frac{1}{1+e^{-vecbetacdotvecxi_n}});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img682.png"
 ALT="\(
P_{n,A} = \frac{1}{1 + e^{- \vec\beta \cdot \vec\xi_n}}
\)">|; 

$key = q/epsilon_A;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img583.png"
 ALT="$\epsilon_A$">|; 

$key = q/b_{net}=infty;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img299.png"
 ALT="$b_{net} = \infty$">|; 

$key = q/{displaymath}P_1=Pr(U_1>U_j,foralljne1){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="367" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img640.png"
 ALT="\begin{displaymath}
P_1 = Pr(U_1 &gt; U_j, \forall j \ne 1)
\end{displaymath}">|; 

$key = q/Big(v_t=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img372.png"
 ALT="$\Big( v_t=0$">|; 

$key = q/v_{{it{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img423.png"
 ALT="$v_{\it max}$">|; 

$key = q/>gap(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img780.png"
 ALT="$&gt; gap(i)$">|; 

$key = q/{displaymath}v:=min{v+1,v_{max}};{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="357" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img380.png"
 ALT="\begin{displaymath}
v := \min\{ v+1, v_{max} \}  ;
\end{displaymath}">|; 

$key = q/v_{t+1}=min[g,v_t+1,v_{max}];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="187" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img353.png"
 ALT="$v_{t+1} = \min[ g , v_t + 1, v_{max} ]$">|; 

$key = q/{displaymath}hatz:=sum_a(vecq^n+vecy),t_a(vecq^n).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="363" HEIGHT="55" BORDER="0"
 SRC="|."$dir".q|img568.png"
 ALT="\begin{displaymath}
\hat z := \sum_a (\vec q^n + \vec y)   t_a(\vec q^n)  .
\end{displaymath}">|; 

$key = q/{displaymath}T_{early}(t_{dep})=maxBig(0,t_{des}-t_{early}Big)=maxBig(0,t_{des}-(t_{dep}+T_{trip})Big).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="535" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img81.png"
 ALT="\begin{displaymath}
T_{early}(t_{dep})
= \max\Big( 0, t_{des} - t_{early} \Big)
= \max\Big( 0, t_{des} - (t_{dep} + T_{trip}) \Big)  .
\end{displaymath}">|; 

$key = q/{displaymath}v:=max{v-1,0}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="346" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img384.png"
 ALT="\begin{displaymath}
v := \max\{ v-1, 0 \}  .
\end{displaymath}">|; 

$key = q/{displaymath}tantheta=frac{y}{x}hbox{or}theta=cases{<comment_mark>1035arctanleft}{2}pi&if{x=0{and{y>0{crfrac{3}{2}pi&if{x=0{and{y<0{cr}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="472" HEIGHT="96" BORDER="0"
 SRC="|."$dir".q|img58.png"
 ALT="\begin{displaymath}
\tan \theta = \frac{y}{x}
\hbox{  or   }
\theta = \case...
... $y &gt; 0$ \cr
\frac{3}{2} \pi &amp; if $x = 0$ and $y &lt; 0$ \cr
}
\end{displaymath}">|; 

$key = q/2pislashk;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img449.png"
 ALT="$2\pi/k$">|; 

$key = q/v_r;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img170.png"
 ALT="$v_r$">|; 

$key = q/rho_T=q_Tslashv_T;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="86" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img344.png"
 ALT="$\rho_T =
q_T/v_T$">|; 

$key = q/weight1+weight4>weight3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="212" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img796.png"
 ALT="$weight1 + weight4 &gt; weight3$">|; 

$key = q/{displaymath}U_{dep}=U_{trip}(T_{trip})+U_{early}(T_{early})+U_{late}(T_{late}).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="451" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img78.png"
 ALT="\begin{displaymath}
U_{dep} = U_{trip}(T_{trip}) + U_{early}(T_{early}) +
U_{late}(T_{late})  .
\end{displaymath}">|; 

$key = q/-M^T,M;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img704.png"
 ALT="$- M^T   M$">|; 

$key = q/{{it{gap_oslash};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img777.png"
 ALT="${\it gap_o\/}$">|; 

$key = q/2000~vehslashhr;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="90" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img368.png"
 ALT="$2000&nbsp;veh/hr$">|; 

$key = q/{displaymath}omega-{dqoverdrho}(overlinerho),k=0{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="332" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img458.png"
 ALT="\begin{displaymath}
\omega - {dq \over d\rho}(\overline\rho)   k = 0
\end{displaymath}">|; 

$key = q/{displaymath}P_{bus}=frac{e^{V_{bus}}}{e^{V_{car}}+e^{V_{bus}}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="352" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img600.png"
 ALT="\begin{displaymath}
P_{bus} = \frac{e^{V_{bus}}}{e^{V_{car}} + e^{V_{bus}}}  .
\end{displaymath}">|; 

$key = q/{displaymath}F(epsilon)=frac{1}{1+e^{mu,(eta_2-eta_1-epsilon)}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="362" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img629.png"
 ALT="\begin{displaymath}
F(\epsilon) = \frac{1}{1 + e^{\mu   (\eta_2 - \eta_1 - \epsilon)}}  .
\end{displaymath}">|; 

$key = q/4.49999cdot7.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img760.png"
 ALT="$4.49999 \cdot 7.5$">|; 

$key = q/p_*(X);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img747.png"
 ALT="$p_*(X)$">|; 

$key = q/B;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img584.png"
 ALT="$B$">|; 

$key = q/q_T;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img155.png"
 ALT="$q_T$">|; 

$key = q/leadsto;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img581.png"
 ALT="$\leadsto$">|; 

$key = q/V;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img231.png"
 ALT="$V$">|; 

$key = q/{displaymath}displaystylev_{t+1}=cases{<comment_mark>1985max{v_{safe}-1,0}&withprobability{p_n{crv_{safe}&elsecr}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img130.png"
 ALT="\begin{displaymath}\displaystyle
v_{t+1} = \cases{%%
\max \{ v_{safe} - 1 , 0 \} &amp; with probability $p_n$ \cr
v_{safe} &amp; else \cr
}
\end{displaymath}">|; 

$key = q/f^{rs,p};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img521.png"
 ALT="$f^{rs,p}$">|; 

$key = q/q(overlinerho);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img460.png"
 ALT="$q(\overline\rho)$">|; 

$key = q/{displaymath}tildeq_l=tildeq_r.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="304" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img465.png"
 ALT="\begin{displaymath}
\tilde q_l = \tilde q_r  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.45textwidth]{scatter-100-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="250" HEIGHT="252" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img916.png"
 ALT="\includegraphics[width=0.45\textwidth]{scatter-100-gpl.eps}">|; 

$key = q/j;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img214.png"
 ALT="$j$">|; 

$key = q/gap_ogev;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img792.png"
 ALT="$gap_o \ge v$">|; 

$key = q/f_{ch}^{(n+1)};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="41" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img874.png"
 ALT="$f_{ch}^{(n+1)}$">|; 

$key = q/N_{cns}(t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img876.png"
 ALT="$N_{cns}(t)$">|; 

$key = q/ell_i=const=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="104" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img347.png"
 ALT="$\ell_i = const =1$">|; 

$key = q/hatz;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img569.png"
 ALT="$\hat z$">|; 

$key = q/int(C_a);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img200.png"
 ALT="$int(C_a)$">|; 

$key = q/simp^{0.5};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img253.png"
 ALT="$\sim p^{0.5}$">|; 

$key = q/vecq^n+vecy;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img567.png"
 ALT="$\vec q^n + \vec
y$">|; 

$key = q/U_j-U_{max}<0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="107" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img107.png"
 ALT="$U_j - U_{max} &lt; 0$">|; 

$key = q/{displaymath}p_i=frac{e^{betaU_i}}{sum_je^{betaU_j}},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="330" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img92.png"
 ALT="\begin{displaymath}
p_i = \frac{ e^{\beta U_i} }{ \sum_j e^{\beta U_j} }  ,
\end{displaymath}">|; 

$key = q/q=cap;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img514.png"
 ALT="$q=cap$">|; 

$key = q/{displaymath}times~5~hbox{options}times~4~hbox{bytesperlink}~=~22.5~hbox{GByte}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="425" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img725.png"
 ALT="\begin{displaymath}
\times&nbsp; 5&nbsp;\hbox{options}
\times&nbsp; 4&nbsp;\hbox{bytes per link}&nbsp;=&nbsp; 22.5&nbsp;\hbox{GByte}
\end{displaymath}">|; 

$key = q/O(N_{nodes}timesN_{destinations}timesN_{options});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="256" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img726.png"
 ALT="$O(N_{nodes} \times
N_{destinations} \times N_{options})$">|; 

$key = q/mslashsec;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img151.png"
 ALT="$m/sec$">|; 

$key = q/10^4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img67.png"
 ALT="$10^4$">|; 

$key = q/N_{spl}(p)=140cdotp^{0.59}-140;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="186" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img307.png"
 ALT="$N_{spl}(p) = 140 \cdot p^{0.59} - 140$">|; 

$key = q/g>vcdottau_H;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img378.png"
 ALT="$g &gt; v \cdot \tau_H$">|; 

$key = q/c=dqslashdrho;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="73" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img490.png"
 ALT="$c=dq/d\rho$">|; 

$key = q/weight1>weight3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="137" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img787.png"
 ALT="$weight1
&gt; weight3$">|; 

$key = q/p_{dc};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img383.png"
 ALT="$p_{dc}$">|; 

$key = q/fr(C_a);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img201.png"
 ALT="$fr(C_a)$">|; 

$key = q/gap>3v_{oncoming};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="123" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img825.png"
 ALT="$gap &gt; 3
v_{oncoming}$">|; 

$key = q/f_{ch};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img866.png"
 ALT="$f_{ch}$">|; 

$key = q/{displaymath}P_1=Prleft[epsilon_1>max_{jne1}[DeltaV_{1j}+epsilon_j]right].{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="392" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img642.png"
 ALT="\begin{displaymath}
P_1 = Pr\left[
\epsilon_1 &gt; \max_{j \ne 1}[ \Delta V_{1j} + \epsilon_j ]
\right]  .
\end{displaymath}">|; 

$key = q/v_{max}-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img133.png"
 ALT="$v_{max} -1$">|; 

$key = q/{displaymath}left[array{{c}+w,sintheta-w,costhetaarray{right],{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="325" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img62.png"
 ALT="\begin{displaymath}
\left[\begin{array}{c}+ w   \sin \theta \ - w   \cos \theta \\\\
\end{array}\right]  ,
\end{displaymath}">|; 

$key = q/{displaymath}partial_trho+partial_xq=Dpartial_x^2rho.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="343" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img488.png"
 ALT="\begin{displaymath}
\partial_t \rho + \partial_x q = D \partial_x^2 \rho  .
\end{displaymath}">|; 

$key = q/1~sec;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img304.png"
 ALT="$1&nbsp;sec$">|; 

$key = q/z(vecq)equivz(vecq^n+y);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="122" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img555.png"
 ALT="$z(\vec q)
\equiv z(\vec q^n + y)$">|; 

$key = q/includegraphics[width=0.5hsize]{rct-time-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="276" HEIGHT="220" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img351.png"
 ALT="\includegraphics[width=0.5\hsize]{rct-time-fig.eps}">|; 

$key = q/t_3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img805.png"
 ALT="$t_3$">|; 

$key = q/DvslashDt;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img492.png"
 ALT="$Dv/Dt$">|; 

$key = q/partial_xrho;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img500.png"
 ALT="$\partial_x \rho$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashyield1-cp.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img852.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/yield1-cp.eps.gz}">|; 

$key = q/{displaymath}pi_i=e^{U_{dep}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="316" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img122.png"
 ALT="\begin{displaymath}
\pi_i = e^{U_{dep}}  .
\end{displaymath}">|; 

$key = q/(0.2,0.6,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="79" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img427.png"
 ALT="$(0.2,0.6,1)$">|; 

$key = q/t_{arr};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img118.png"
 ALT="$t_{arr}$">|; 

$key = q/includegraphics[width=0.8hsize]{connectivities-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="254" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img187.png"
 ALT="\includegraphics[width=0.8\hsize]{connectivities-fig.eps}">|; 

$key = q/O(F(DeltaT),E^2logK);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="146" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img902.png"
 ALT="$O( F(\Delta T)   E^2 \log K)$">|; 

$key = q/v_{t+1}=min[g_t,v_t+1,v_{max}];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="192" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img375.png"
 ALT="$v_{t+1} = \min[ g_t , v_t + 1, v_{max} ]$">|; 

$key = q/C:=V_A-V_B;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="102" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img618.png"
 ALT="$C := V_A - V_B$">|; 

$key = q/M^T,M;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img703.png"
 ALT="$M^T   M$">|; 

$key = q/{displaymath}-{c_0^2overrho},partial_xrho{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="305" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img498.png"
 ALT="\begin{displaymath}
- {c_0^2 \over \rho}   \partial_x \rho
\end{displaymath}">|; 

$key = q/N_{acs}(i,T);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="73" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img891.png"
 ALT="$N_{acs}(i,T)$">|; 

$key = q/{displaymath}{DeltaqoverDeltarho}={v_{max}slash(v_{max}+1)-0over1slash(v_{max}+1)-1}=-1.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="396" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img479.png"
 ALT="\begin{displaymath}
{\Delta q \over \Delta \rho}
= {v_{max}/(v_{max}+1) - 0 \over 1/(v_{max}+1) - 1}
= -1  .
\end{displaymath}">|; 

$key = q/p_{noise}=0.2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="85" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$p_{noise} = 0.2$">|; 

$key = q/includegraphics[width=0.49hsize]{gzslash0it.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="271" HEIGHT="196" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="\includegraphics[width=0.49\hsize]{gz/0it.eps.gz}">|; 

$key = q/min[v+1,v_{max}];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img164.png"
 ALT="$\min[v+1,v_{max}]$">|; 

$key = q/(partial_trho+partial_xq=0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="99" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img428.png"
 ALT="\(
\partial_t \rho + \partial_x q = 0
\)">|; 

$key = q/C=M^T,M;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="85" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img697.png"
 ALT="$C = M^T   M$">|; 

$key = q/vgev_r;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img168.png"
 ALT="$v \ge v_r$">|; 

$key = q/G[f_{ch}];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img878.png"
 ALT="$G[f_{ch}]$">|; 

$key = q/includegraphics[width=0.6hsize]{dep-time-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="330" HEIGHT="334" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img88.png"
 ALT="\includegraphics[width=0.6\hsize]{dep-time-fig.eps}">|; 

$key = q/x_{n,B,2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img664.png"
 ALT="$x_{n,B,2}$">|; 

$key = q/y_{n,A}=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img668.png"
 ALT="$y_{n,A} = 1$">|; 

$key = q/K;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img898.png"
 ALT="$K$">|; 

$key = q/{displaymath}d_{abs,c}=(1slashN_c),sum_i|x_i-xi_i|hbox{~~~and~~~}d_{rel,c}=d_{abs,c},slash,langlexirangle_c,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="492" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img911.png"
 ALT="\begin{displaymath}
d_{abs,c} = (1/N_c)   \sum_i \vert x_i - \xi_i\vert
\hbox{&nbsp;&nbsp;&nbsp;and&nbsp;&nbsp;&nbsp; }
d_{rel,c} = d_{abs,c}   /   \langle\xi\rangle_c  ,
\end{displaymath}">|; 

$key = q/{displaymath}x_{t+1}=x_{t}+v_{t+1}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="333" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img131.png"
 ALT="\begin{displaymath}
x_{t+1} = x_{t} + v_{t+1}
\end{displaymath}">|; 

$key = q/beta_c;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img241.png"
 ALT="$\beta_c$">|; 

$key = q/U_j=U_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="80" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img101.png"
 ALT="$U_j = U_{max}$">|; 

$key = q/>0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img540.png"
 ALT="$&gt; 0$">|; 

$key = q/N_{acs}(T);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img888.png"
 ALT="$N_{acs}(T)$">|; 

$key = q/{displaymath}N_{t+1}(x)=N_t(x)-Big(q_t(x+frac{1}{2})-q_t(x-frac{1}{2})Big)=N_t(x)+q_t(x-frac{1}{2})-q_t(x+frac{1}{2}){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="546" HEIGHT="47" BORDER="0"
 SRC="|."$dir".q|img431.png"
 ALT="\begin{displaymath}
N_{t+1}(x) = N_t(x)
- \Big( q_t(x+\frac{1}{2}) - q_t(x-\fra...
... \Big)
\\\\
= N_t(x) + q_t(x-\frac{1}{2}) - q_t(x+\frac{1}{2})
\end{displaymath}">|; 

$key = q/displaystylev_i:=cases{v_{max}-1&withprobability{p_{noise}{crv_{max}&elsecr};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="286" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img768.png"
 ALT="$\displaystyle v_i := \cases{
v_{max}-1 &amp; with probability $p_{noise}$ \cr
v_{max} &amp; else \cr }$">|; 

$key = q/s;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img54.png"
 ALT="$s$">|; 

$key = q/N_{nodes};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img727.png"
 ALT="$N_{nodes}$">|; 

$key = q/v_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img129.png"
 ALT="$v_{max}$">|; 

$key = q/U_C;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="$U_C$">|; 

$key = q/(rho=0,q=0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img481.png"
 ALT="$(\rho=0,q=0)$">|; 

$key = q/x_i(t+1)=x_i(t)+v_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img769.png"
 ALT="$x_i(t+1) = x_i(t) + v_i$">|; 

$key = q/includegraphics[width=0.8hsize]{nocars-time-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="305" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img312.png"
 ALT="\includegraphics[width=0.8\hsize]{nocars-time-gpl.eps}">|; 

$key = q/Phi(X);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img743.png"
 ALT="$\Phi(X)$">|; 

$key = q/weight1=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="89" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img782.png"
 ALT="$weight1 = 1$">|; 

$key = q/epsilon;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img413.png"
 ALT="$\epsilon$">|; 

$key = q/F(x);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img605.png"
 ALT="$F(x)$">|; 

$key = q/N_{acs}(i,T),f_{ch}(T);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="121" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img893.png"
 ALT="$N_{acs}(i,T)   f_{ch}(T)$">|; 

$key = q/includegraphics[width=0.6hsize]{fdiag-184-s2s-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="331" HEIGHT="208" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img377.png"
 ALT="\includegraphics[width=0.6\hsize]{fdiag-184-s2s-fig.eps}">|; 

$key = q/{displaymath}delta_a^{rs,p}=cases{1&ifusedcr0&ifnotusedcr}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="362" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img527.png"
 ALT="\begin{displaymath}
\delta_a^{rs,p} = \cases{ 1 &amp; if used \cr 0 &amp; if not used \cr }  .
\end{displaymath}">|; 

$key = q/ge;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img184.png"
 ALT="$\ge$">|; 

$key = q/{displaymath}F(rho)=F(overline{rho})+rho'{dFoverdrho}(overlinerho)+...;{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="379" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img442.png"
 ALT="\begin{displaymath}
F(\rho) = F(\overline{\rho}) + \rho' {dF \over d\rho}(\overline \rho) + ...  ;
\end{displaymath}">|; 

$key = q/dqslashdrho=-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="86" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img473.png"
 ALT="$dq/d\rho = -1$">|; 

$key = q/gap=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img823.png"
 ALT="$gap=0$">|; 

$key = q/<250;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img913.png"
 ALT="$&lt;250$">|; 

$key = q/{displaymath}alpha=frac{1}{overline{v}slash(b,tau)+1}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="335" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img417.png"
 ALT="\begin{displaymath}
\alpha = \frac{1}{\overline{v}/(b   \tau) + 1}  .
\end{displaymath}">|; 

$key = q/{displaymath}T(p)sim{1overp}+1+{1oversqrt{p}}to1.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="366" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img300.png"
 ALT="\begin{displaymath}
T(p) \sim {1 \over p} + 1 + {1 \over \sqrt{p}}
\to 1  .
\end{displaymath}">|; 

$key = q/v_i=v_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img766.png"
 ALT="$v_i = v_{max}$">|; 

$key = q/ell=7.5~m;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img146.png"
 ALT="$\ell =
7.5&nbsp;m$">|; 

$key = q/v_{{it{safe};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img422.png"
 ALT="$v_{\it safe}$">|; 

$key = q/rho';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img441.png"
 ALT="$\rho'$">|; 

$key = q/includegraphics[width=hsize]{gzslashnagel-twolane-basic4.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="539" HEIGHT="426" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img178.png"
 ALT="\includegraphics[width=\hsize]{gz/nagel-twolane-basic4.eps.gz}">|; 

$key = q/betatoinfty;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img97.png"
 ALT="$\beta \to \infty$">|; 

$key = q/U_i-U_{max}<0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="106" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img103.png"
 ALT="$U_i - U_{max} &lt; 0$">|; 

$key = q/(frac{1}{1+e^{mu,(V_*-V_1)}}=frac{e^{mu,V_1}}{e^{mu,V_1}+e^{mu,V_*}}.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="183" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img648.png"
 ALT="\(
\frac{1}{1 + e^{\mu   (V_* - V_1)}}
= \frac{e^{\mu   V_1}}{e^{\mu   V_1} + e^{\mu   V_*}}  .
\)">|; 

$key = q/{displaymath}V(rho(Deltaxslash2))=V(rho(0))+{Deltaxover2},{dVoverdrho},partial_xrho+...{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="422" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img497.png"
 ALT="\begin{displaymath}
V(\rho(\Delta x/2)) = V(\rho(0))
+ {\Delta x \over 2}   {dV \over d\rho}   \partial_x \rho + ...
\end{displaymath}">|; 

$key = q/f_{ch}(T);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img884.png"
 ALT="$f_{ch}(T)$">|; 

$key = q/Lslashv;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img337.png"
 ALT="$L/v$">|; 

$key = q/vecx^n=vecq^n+vecy^n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="100" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img558.png"
 ALT="$\vec x^n = \vec q^n +
\vec y^n$">|; 

$key = q/(vecxi_n=vecx_{n,A}-vecx_{n,B}.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="133" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img681.png"
 ALT="\(
\vec \xi_n = \vec x_{n,A} - \vec x_{n,B}  .
\)">|; 

$key = q/{displaymath}T(p)={T_1overp}Big(1+f_{ovr}(p)+f_{dmn}(p)Big)+{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="404" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img294.png"
 ALT="\begin{displaymath}
T(p) = {T_1 \over p} \Big(
1 + f_{ovr}(p) + f_{dmn}(p) \Big) +
\end{displaymath}">|; 

$key = q/(c:={omegaoverk}={dqoverdrho}(overlinerho).);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img459.png"
 ALT="\(
c := {\omega \over k} = {dq \over d\rho}(\overline\rho)  .
\)">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashleft1-cp.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img854.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/left1-cp.eps.gz}">|; 

$key = q/N_{spl}simsqrt{p};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$N_{spl} \sim \sqrt {p}$">|; 

$key = q/vecx=vecq^n+vecy;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img570.png"
 ALT="$\vec x = \vec
q^n + \vec y$">|; 

$key = q/V_*;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img649.png"
 ALT="$V_*$">|; 

$key = q/T;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img114.png"
 ALT="$T$">|; 

$key = q/v_{lead}<v_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="91" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img137.png"
 ALT="$v_{lead} &lt; v_{max}$">|; 

$key = q/U_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img98.png"
 ALT="$U_{max}$">|; 

$key = q/Deltat=1~sec;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img147.png"
 ALT="$\Delta t = 1&nbsp;sec$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashfree1-vel-flow.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img833.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/free1-vel-flow.eps.gz}">|; 

$key = q/N_{spl}(p);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img290.png"
 ALT="$N_{spl}(p)$">|; 

$key = q/x_{i,j},j>k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="73" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img227.png"
 ALT="$x_{i,j},
j &gt; k$">|; 

$key = q/h;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img880.png"
 ALT="$h$">|; 

$key = q/n=1..N;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img659.png"
 ALT="$n=1..N$">|; 

$key = q/p,T(1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img322.png"
 ALT="$p   T(1)$">|; 

$key = q/includegraphics[width=0.6textwidth]{0-q-v-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="332" HEIGHT="350" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img509.png"
 ALT="\includegraphics[width=0.6\textwidth]{0-q-v-fig.eps}">|; 

$key = q/nablaz;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img561.png"
 ALT="$\nabla z$">|; 

$key = q/i=1..N;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="62" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img221.png"
 ALT="$i=1..N$">|; 

$key = q/{displaymath}dotv(t+tau)=alphaDeltav(t).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="344" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img394.png"
 ALT="\begin{displaymath}
\dot v(t+\tau) = \alpha \Delta v(t)  .
\end{displaymath}">|; 

$key = q/v=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img475.png"
 ALT="$v=0$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashcs-yield.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img853.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/cs-yield.eps.gz}">|; 

$key = q/{displaymath}v_{safe}=min{v_{t}+1,g_{t},v_{max}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="381" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img127.png"
 ALT="\begin{displaymath}
v_{safe} = \min \{ v_{t} + 1 , g_{t} , v_{max} \}  .
\end{displaymath}">|; 

$key = q/N_{options}sim5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="89" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img723.png"
 ALT="$N_{options} \sim 5$">|; 

$key = q/v_i<v_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img764.png"
 ALT="$v_i &lt; v_{max}$">|; 

$key = q/beta_1,...,beta_k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img667.png"
 ALT="$\beta_1,...,\beta_k$">|; 

$key = q/{displaymath}N_{tr}(t)=G[f_{ch}(.)](t),f_{ch}(t).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="371" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img870.png"
 ALT="\begin{displaymath}
N_{tr}(t) = G[f_{ch}(.)](t)   f_{ch}(t).
\end{displaymath}">|; 

$key = q/rho_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img370.png"
 ALT="$\rho_2$">|; 

$key = q/{displaymath}N<int(C_a)~~hbox{or}~~Big(N=int(C_a)~~hbox{and}~~rnd<fr(C_a)Big){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="456" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img199.png"
 ALT="\begin{displaymath}
N &lt; int(C_a)&nbsp;&nbsp;\hbox{or}&nbsp;&nbsp;\Big(N = int(C_a)&nbsp;&nbsp;\hbox{and}&nbsp;&nbsp; rnd &lt; fr(C_a) \Big)
\end{displaymath}">|; 

$key = q/v_{t+1}=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img374.png"
 ALT="$v_{t+1} = 0$">|; 

$key = q/Deltat=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img429.png"
 ALT="$\Delta t = 1$">|; 

$key = q/v_igegap_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img761.png"
 ALT="$v_i \ge gap_i$">|; 

$key = q/S_{msg};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img275.png"
 ALT="$S_{msg}$">|; 

$key = q/N_{links}sim50;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="84" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img722.png"
 ALT="$N_{links} \sim 50$">|; 

$key = q/{displaymath}q_T={N_ToverT,N_{lanes}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="330" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img339.png"
 ALT="\begin{displaymath}
q_T = {N_T \over T   N_{lanes}}  .
\end{displaymath}">|; 

$key = q/displaystylev_{t+h};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img408.png"
 ALT="$\displaystyle v_{t+h}$">|; 

$key = q/t_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="$t_1$">|; 

$key = q/c^{rs,p};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img530.png"
 ALT="$c^{rs,p}$">|; 

$key = q/p_{ac};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img379.png"
 ALT="$p_{ac}$">|; 

$key = q/{displaymath}U(i,a)=V(i,a)+eta(i,a).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="367" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img228.png"
 ALT="\begin{displaymath}
U(i,a) = V(i,a) + \eta(i,a)  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashfdiag-1lane.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="250" HEIGHT="202" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img162.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/fdiag-1lane.eps.gz}">|; 

$key = q/U_{late}(T_{late});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img77.png"
 ALT="$U_{late}(T_{late})$">|; 

$key = q/1slash3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img217.png"
 ALT="$1/3$">|; 

$key = q/t_{lat};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img309.png"
 ALT="$t_{lat}$">|; 

$key = q/!;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="2" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img925.png"
 ALT="$\!$">|; 

$key = q/0to0to1to2to2to3toldots;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="219" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img140.png"
 ALT="$0\to0\to1\to2\to2\to3\to\ldots$">|; 

$key = q/includegraphics[width=0.7hsize]{other-rtr-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="387" HEIGHT="267" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img314.png"
 ALT="\includegraphics[width=0.7\hsize]{other-rtr-gpl.eps}">|; 

$key = q/{displaymath}N_{tr}(t)=N_{acs}(t),f_{ch}(t).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="359" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img865.png"
 ALT="\begin{displaymath}
N_{tr}(t) = N_{acs}(t)   f_{ch}(t)  .
\end{displaymath}">|; 

$key = q/{displaymath}tildev_T={1overN_T}sumv_i.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="334" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img330.png"
 ALT="\begin{displaymath}
\tilde v_T = {1 \over N_T} \sum v_i  .
\end{displaymath}">|; 

$key = q/{displaymath}vecr_{st}=left[array{{c}x_{st}y_{st}array{right]=left[array{{c}x_{t}y_{t}array{right]-left[array{{c}x_{s}y_{s}array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="392" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img55.png"
 ALT="\begin{displaymath}
\vec r_{st}
= \left[\begin{array}{c} x_{st} \ y_{st} \ \e...
...
- \left[\begin{array}{c} x_{s} \ y_{s} \ \end{array}\right]
\end{displaymath}">|; 

$key = q/{displaymath}T_{cmp}(p)={T_1overp}cdotBig(1+f_{ovr}(p)+f_{dmn}(p)Big).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="419" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img269.png"
 ALT="\begin{displaymath}
T_{cmp}(p) = {T_1 \over p} \cdot \Big( 1 + f_{ovr}(p) + f_{dmn}(p) \Big)  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashgt3v.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img185.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/gt3v.eps.gz}">|; 

$key = q/kmslashh;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img152.png"
 ALT="$km/h$">|; 

$key = q/weight3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img791.png"
 ALT="$weight3$">|; 

$key = q/includegraphics[width=0.8hsize]{cars-time-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="305" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img310.png"
 ALT="\includegraphics[width=0.8\hsize]{cars-time-gpl.eps}">|; 

$key = q/I;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img506.png"
 ALT="$I$">|; 

$key = q/10^5times10^5=10^{10};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="120" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img244.png"
 ALT="$10^5 \times 10^5 = 10^{10}$">|; 

$key = q/includegraphics[width=0.8hsize]{cars-rtr-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="305" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img311.png"
 ALT="\includegraphics[width=0.8\hsize]{cars-rtr-gpl.eps}">|; 

$key = q/N_{sub}=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img283.png"
 ALT="$N_{sub}=2$">|; 

$key = q/{displaymath}N_{sub}cdotleft(n_{nb}(p),T_{lt}+{N_{spl}(p)overp}{S_{bnd}overb_{nd}}+N_{spl}(p),{S_{bnd}overb_{net}}right).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="457" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img295.png"
 ALT="\begin{displaymath}
N_{sub} \cdot \left(
n_{nb}(p)   T_{lt}
+ {N_{spl}(p) \over...
...er b_{nd}}
+ N_{spl}(p)   {S_{bnd} \over b_{net}} \right)  .
\end{displaymath}">|; 

$key = q/p_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img90.png"
 ALT="$p_i$">|; 

$key = q/pm150;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img125.png"
 ALT="$\pm 150$">|; 

$key = q/q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img433.png"
 ALT="$q$">|; 

$key = q/N_{wp}(i,T);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img885.png"
 ALT="$N_{wp}(i,T)$">|; 

$key = q/U_A;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="$U_A$">|; 

$key = q/T_{trip}(t_{dep});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="74" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img86.png"
 ALT="$T_{trip}(t_{dep})$">|; 

$key = q/g<vcdottau_H;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img382.png"
 ALT="$g &lt; v \cdot \tau_H$">|; 

$key = q/x_{X,i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img593.png"
 ALT="$x_{X,i}$">|; 

$key = q/x=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img818.png"
 ALT="$x=1$">|; 

$key = q/includegraphics[width=hsize]{gzslashtraffic1.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="550" HEIGHT="550" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img48.png"
 ALT="\includegraphics[width=\hsize]{gz/traffic1.eps.gz}">|; 

$key = q/{displaymath}dotv(t)={1overtau},Big(alpha,Deltax(t)-v(t)Big){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="367" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img389.png"
 ALT="\begin{displaymath}
\dot v(t) = {1 \over \tau}   \Big( \alpha   \Delta x(t) - v(t) \Big)
\end{displaymath}">|; 

$key = q/includegraphics[width=hsize]{wiedemann-lanes-tif.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="551" HEIGHT="330" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img179.png"
 ALT="\includegraphics[width=\hsize]{wiedemann-lanes-tif.eps}">|; 

$key = q/includegraphics[width=0.7hsize]{ten-rtr-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="387" HEIGHT="267" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img315.png"
 ALT="\includegraphics[width=0.7\hsize]{ten-rtr-gpl.eps}">|; 

$key = q/{displaymath}P(bus)={exp[-beta_b,t_b]overexp[-beta_b,t_b]+exp[-beta_c,t_c]}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="403" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img237.png"
 ALT="\begin{displaymath}
P(bus) = {\exp[ - \beta_b   t_b ] \over
\exp[ - \beta_b   t_b ] + \exp[ - \beta_c   t_c ] }  .
\end{displaymath}">|; 

$key = q/N_{options};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img719.png"
 ALT="$N_{options}$">|; 

$key = q/U_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img93.png"
 ALT="$U_i$">|; 

$key = q/rho;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img434.png"
 ALT="$\rho$">|; 

$key = q/1-p_{noise};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img772.png"
 ALT="$1-p_{noise}$">|; 

$key = q/eps_B;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img612.png"
 ALT="$\eps_B$">|; 

$key = q/{displaymath}rho_*=frac{1}{v_{max}+1}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="332" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img362.png"
 ALT="\begin{displaymath}
\rho_* = \frac{1}{v_{max}+1}  .
\end{displaymath}">|; 

$key = q/(U_A=V_A+epsilon_A.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="111" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img582.png"
 ALT="\(
U_A = V_A + \epsilon_A  .
\)">|; 

$key = q/rho=1slash(leftlanglegrightrangle+1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="110" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img359.png"
 ALT="$\rho = 1/(\left\langle g\right\rangle +1)$">|; 

$key = q/=37.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img812.png"
 ALT="$=
37.5$">|; 

$key = q/includegraphics[width=0.48hsize]{gzslash97-004.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="267" HEIGHT="148" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img830.png"
 ALT="\includegraphics[width=0.48\hsize]{gz/97-004.eps.gz}">|; 

$key = q/cap;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img512.png"
 ALT="$cap$">|; 

$key = q/vecbeta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img694.png"
 ALT="$\vec\beta$">|; 

$key = q/{displaymath}V_X=sum_kbeta_k,x_{X,k},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="339" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img706.png"
 ALT="\begin{displaymath}
V_X = \sum_k \beta_k   x_{X,k}  ,
\end{displaymath}">|; 

$key = q/x+Deltax;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img604.png"
 ALT="$x + \Delta x$">|; 

$key = q/25%;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img653.png"
 ALT="$25\%$">|; 

$key = q/q=rhov;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img340.png"
 ALT="$q = \rho v$">|; 

$key = q/tildev=v+c;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img468.png"
 ALT="$\tilde v = v + c$">|; 

$key = q/rho=1slash(v_{max}+1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="123" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img478.png"
 ALT="$\rho = 1/(v_{max}+1)$">|; 

$key = q/{displaymath}p_i=exp(betaU_i)slashsum_kexp(betaU_k).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="381" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img860.png"
 ALT="\begin{displaymath}
p_i = \exp(\beta U_i) / \sum_k \exp(\beta U_k)  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.8textwidth]{link-flow-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="163" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img529.png"
 ALT="\includegraphics[width=0.8\textwidth]{link-flow-fig.eps}">|; 

$key = q/{displaymath}30,000~hbox{links}~times~10,000~hbox{nodes}~times~100~hbox{timeslices}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="431" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img731.png"
 ALT="\begin{displaymath}
30 000&nbsp;\hbox{links}&nbsp;\times&nbsp; 10 000&nbsp;\hbox{nodes}
&nbsp;\times&nbsp; 100&nbsp;\hbox{time slices}
\end{displaymath}">|; 

$key = q/x_{n,B,1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img663.png"
 ALT="$x_{n,B,1}$">|; 

$key = q/t_2+t_{rct};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$t_2 + t_{rct}$">|; 

$key = q/t_b;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img238.png"
 ALT="$t_b$">|; 

$key = q/omegat-kx=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="87" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img456.png"
 ALT="$\omega
t - kx = 0$">|; 

$key = q/delta_a^{rs,p};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img525.png"
 ALT="$\delta_a^{rs,p}$">|; 

$key = q/displaystylemin{v_t+a,h,v_{{rm{safe},v_{{rm{max}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="175" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img407.png"
 ALT="$\displaystyle \min \{ v_t + a   h, v_{\rm safe} , v_{\rm max} \}$">|; 

$key = q/*;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img448.png"
 ALT="$*$">|; 

$key = q/v_{max}=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.png"
 ALT="$v_{max}=2$">|; 

$key = q/(p_{ac},p_{dc},tau_H)=(0.9,0.9,1.1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="201" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img385.png"
 ALT="$(p_{ac},p_{dc},\tau_H) = (0.9,0.9,1.1)$">|; 

$key = q/>;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img183.png"
 ALT="$&gt;$">|; 

$key = q/c:=omegaslashk;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img452.png"
 ALT="$c := \omega/k$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashcs-left.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img855.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/cs-left.eps.gz}">|; 

$key = q/=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="$=0$">|; 

$key = q/R;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img115.png"
 ALT="$R$">|; 

$key = q/{displaymath}v_{safe}=alpha,frac{g_t}{tau}+(1-alpha),tildev_t{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="362" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img416.png"
 ALT="\begin{displaymath}
v_{safe} = \alpha   \frac{g_t}{\tau} + (1-\alpha)   \tilde v_t
\end{displaymath}">|; 

$key = q/T_{cmm};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img267.png"
 ALT="$T_{cmm}$">|; 

$key = q/N_{wp}(T);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img887.png"
 ALT="$N_{wp}(T)$">|; 

$key = q/=vecx_{n,B};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img665.png"
 ALT="$= \vec x_{n,B}$">|; 

$key = q/T(1)slash(1~sec);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="90" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img319.png"
 ALT="$T(1)/(1&nbsp;sec)$">|; 

$key = q/{displaymath}p_{a,i}=frac{e^{beta,V_{a,i}}}{sum_je^{beta,V_{a,j}}},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="340" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img222.png"
 ALT="\begin{displaymath}
p_{a,i} = \frac{e^{\beta   V_{a,i}}}{\sum_j e^{\beta   V_{a,j}}}  ,
\end{displaymath}">|; 

$key = q/[0,1];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img414.png"
 ALT="$[0,1]$">|; 

$key = q/f;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img753.png"
 ALT="$f$">|; 

$key = q/3600slash2000=1.8;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="117" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img180.png"
 ALT="$3600/2000 =
1.8$">|; 

$key = q/{displaymath}hbox{linkTravelTime}=hbox{linkLength}slashhbox{linkFreeSpeed}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="425" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img72.png"
 ALT="\begin{displaymath}
\hbox{linkTravelTime} = \hbox{linkLength}/\hbox{linkFreeSpeed}  .
\end{displaymath}">|; 

$key = q/g_t=v_{lead};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img138.png"
 ALT="$g_t = v_{lead}$">|; 

$key = q/P_{n,A};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img692.png"
 ALT="$P_{n,A}$">|; 

$key = q/omega;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img451.png"
 ALT="$\omega$">|; 

$key = q/epsilon_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img625.png"
 ALT="$\epsilon_2$">|; 

$key = q/N_{sub};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img282.png"
 ALT="$N_{sub}$">|; 

$key = q/{displaymath}frac{partialP_{n,A}}{partialbeta_k}=(-1),frac{1}{(1+e^{-...})^2},e^{-...},(-xi_k)=P_{n,B},P_{n,A},xi_k.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="484" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img688.png"
 ALT="\begin{displaymath}
\frac{\partial P_{n,A}}{\partial \beta_k}
= (-1)   \frac{1}...
...^2}   e^{-...}   (-\xi_k)
= P_{n,B}   P_{n,A}   \xi_k  .
\end{displaymath}">|; 

$key = q/0leqrnd<1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img204.png"
 ALT="$0\leq rnd &lt; 1$">|; 

$key = q/alpha^n=1slashn;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img572.png"
 ALT="$\alpha^n =
1/n$">|; 

$key = q/{displaymath}frac{partiallogP_{n,A}}{partialbeta_k}=-frac{partial}{partialbeta_k1+e^{-...})=-frac{1}{(1+e^{-...})},e^{-...},(-xi_{n,k}){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="508" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img685.png"
 ALT="\begin{displaymath}
\frac{\partial \log P_{n,A}}{\partial \beta_k}
= - \frac{\pa...
....} )
= - \frac{1}{(1 + e^{-...})}   e^{-...}   (- \xi_{n,k})
\end{displaymath}">|; 

$key = q/{displaymath}sum_pf^{rs,p}=Q^{rs},f^{rs,p}ge0{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="371" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img534.png"
 ALT="\begin{displaymath}
\sum_p f^{rs,p} = Q^{rs}   ,   f^{rs,p} \ge 0
\end{displaymath}">|; 

$key = q/{displaymath}rtr(p):={DeltatoverT(p)}={1~secoverT(p)},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="362" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img302.png"
 ALT="\begin{displaymath}
rtr(p) := {\Delta t \over T(p)} = {1&nbsp;sec \over T(p)}  ,
\end{displaymath}">|; 

$key = q/{displaymath}p_iproptoe^{-beta,T_i},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="320" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img712.png"
 ALT="\begin{displaymath}
p_i \propto e^{-\beta   T_i}  ,
\end{displaymath}">|; 

$key = q/d=16;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img175.png"
 ALT="$d=16$">|; 

$key = q/vecq^*;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img537.png"
 ALT="$\vec q^*$">|; 

$key = q/c_a(x_a);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img246.png"
 ALT="$c_a(x_a)$">|; 

$key = q/{figure}{hrule{{smallskip{algorithmic{{small{STATE{}COMMENT{PROPAGATEVEHICLESALOinationlink}ENDIFENDWHILEENDWHILEENDFORalgorithmic{{hrule{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="556" HEIGHT="387" BORDER="0"
 SRC="|."$dir".q|img208.png"
 ALT="\begin{figure}\hrule\smallskip \begin{algorithmic}
\small \STATE{}\COMMENT{PROP...
...link}
\ENDIF
\ENDWHILE
\ENDWHILE
\ENDFOR
\end{algorithmic}\hrule\end{figure}">|; 

$key = q/f_{act};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img873.png"
 ALT="$f_{act}$">|; 

$key = q/{displaymath}Pr(epsilon<C)=frac{1}{sqrt{2pi},sigma},int_{-infty}^C,expleft(-frac{1}{2},left(frac{epsilon}{sigma}right)^2right).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="434" HEIGHT="61" BORDER="0"
 SRC="|."$dir".q|img619.png"
 ALT="\begin{displaymath}
Pr( \epsilon &lt; C ) = \frac{1}{\sqrt{2\pi}   \sigma}   \int...
...ac{1}{2}   \left(\frac{\epsilon}{\sigma}\right)^2 \right)  .
\end{displaymath}">|; 

$key = q/v=v_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img477.png"
 ALT="$v=v_{max}$">|; 

$key = q/C_a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img191.png"
 ALT="$C_a$">|; 

$key = q/p=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img285.png"
 ALT="$p=2$">|; 

$key = q/{displaymath}X_3:=alpha,X_1+(1-alpha),X_2{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="362" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img550.png"
 ALT="\begin{displaymath}
X_3 := \alpha   X_1 + (1-\alpha)   X_2
\end{displaymath}">|; 

$key = q/{displaymath}p(t_{dep})=frac{f(t_{dep})}{Sigma}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="341" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img112.png"
 ALT="\begin{displaymath}
p(t_{dep}) = \frac{f(t_{dep})}{\Sigma}  .
\end{displaymath}">|; 

$key = q/q_{out}=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img484.png"
 ALT="$q_{out}=0$">|; 

$key = q/{displaymath}e_{dmn}:={hbox{loadonoptimalpartition}overhbox{loadonlargestpartition}},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="391" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img258.png"
 ALT="\begin{displaymath}
e_{dmn} := {\hbox{load on optimal partition} \over \hbox{load on largest
partition}}  ,
\end{displaymath}">|; 

$key = q/weight1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img790.png"
 ALT="$weight1$">|; 

$key = q/G;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img868.png"
 ALT="$G$">|; 

$key = q/O(N_{people}timesN_{trips}timesN_{links}timesN_{options});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="277" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img715.png"
 ALT="$O(N_{people} \times N_{trips} \times
N_{links} \times N_{options})$">|; 

$key = q/displaystylev_{{rm{safe};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img403.png"
 ALT="$\displaystyle v_{\rm safe}$">|; 

$key = q/{displaymath}partial_tv+v,partial_xv={1overtau}Big(V(Deltax)-vBig).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="383" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img494.png"
 ALT="\begin{displaymath}
\partial_t v + v   \partial_x v
= {1 \over \tau} \Big( V(\Delta x) - v \Big)  .
\end{displaymath}">|; 

$key = q/nu,partial_x^2v;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img501.png"
 ALT="$\nu   \partial_x^2
v$">|; 

$key = q/t2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img804.png"
 ALT="$t2$">|; 

$key = q/{displaymath}partial_bsum_a,int_0^{q_a},t_a(omega),domega=partial_bint_0^{q_b},t_b(omega),domega=t_b.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="430" HEIGHT="60" BORDER="0"
 SRC="|."$dir".q|img564.png"
 ALT="\begin{displaymath}
\partial_b \sum_a   \int_0^{q_a}   t_a(\omega)   d\omega
= \partial_b \int_0^{q_b}   t_b(\omega)   d\omega
= t_b  .
\end{displaymath}">|; 

$key = q/b_{nd}=50;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img306.png"
 ALT="$b_{nd} =
50$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashfree3-usage-dens.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="244" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img839.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/free3-usage-dens.eps.gz}">|; 

$key = q/{displaymath}Pr(A)=Pr(U_A>U_B)=Pr(V_A+epsilon_A>V_B+epsilon_B){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="452" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img585.png"
 ALT="\begin{displaymath}
Pr(A) = Pr( U_A &gt; U_B) = Pr( V_A + \epsilon_A &gt; V_B + \epsilon_B)
\end{displaymath}">|; 

$key = q/includegraphics[width=0.45textwidth]{scatter-errors-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="250" HEIGHT="252" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img924.png"
 ALT="\includegraphics[width=0.45\textwidth]{scatter-errors-gpl.eps}">|; 

$key = q/includegraphics[width=0.47hsize]{tangent-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="250" HEIGHT="144" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img462.png"
 ALT="\includegraphics[width=0.47\hsize]{tangent-fig.eps}">|; 

$key = q/T_{lt}=0.8;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img305.png"
 ALT="$T_{lt} = 0.8$">|; 

$key = q/{displaymath}T_{early}(t_{dep})=maxBig(0,t_{des}-(t_{dep}+T_{trip}(t_{dep}))Big).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="450" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img83.png"
 ALT="\begin{displaymath}
T_{early}(t_{dep})
= \max\Big( 0, t_{des} - (t_{dep} + T_{trip}(t_{dep})) \Big)  .
\end{displaymath}">|; 

$key = q/alpha=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img420.png"
 ALT="$\alpha = 1$">|; 

$key = q/f(t_{dep})=e^{U(t_{dep})};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="124" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img110.png"
 ALT="$f(t_{dep}) = e^{U(t_{dep})}$">|; 

$key = q/p_{noise}=0.25;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="93" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$p_{noise}=0.25$">|; 

$key = q/Deltav=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img396.png"
 ALT="$\Delta v=0$">|; 

$key = q/beta_0,beta_1,...;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img680.png"
 ALT="$\beta_0, \beta_1, ...$">|; 

$key = q/{displaymath}q_a=sum_{rs,p}f^{rs,p},delta_a^{rs,p}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="344" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img528.png"
 ALT="\begin{displaymath}
q_a = \sum_{rs,p} f^{rs,p}   \delta_a^{rs,p}  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.8textwidth]{logit-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="121" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img218.png"
 ALT="\includegraphics[width=0.8\textwidth]{logit-fig.eps}">|; 

$key = q/includegraphics[width=0.48hsize]{gzslash97-002.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="267" HEIGHT="147" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img828.png"
 ALT="\includegraphics[width=0.48\hsize]{gz/97-002.eps.gz}">|; 

$key = q/includegraphics[width=0.8hsize]{gzslashbnd.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="211" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img249.png"
 ALT="\includegraphics[width=0.8\hsize]{gz/bnd.eps.gz}">|; 

$key = q/{{it{gap_bslash};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img778.png"
 ALT="${\it gap_b\/}$">|; 

$key = q/{displaymath}U_{dep}=-frac{0.4}{60~sec},T_{trip}-frac{0.25}{60~sec},T_{early}-frac{1.5}{60~sec},T_{late}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="452" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img121.png"
 ALT="\begin{displaymath}
U_{dep} = - \frac{0.4}{60&nbsp;sec}   T_{trip} - \frac{0.25}{60&nbsp;sec}   T_{early} - \frac{1.5}{60&nbsp;sec}   T_{late}
\end{displaymath}">|; 

$key = q/gap>3cdotv_{oncoming};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="134" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$gap &gt; 3 \cdot v_{oncoming}$">|; 

$key = q/ntimesn;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="$n \times n$">|; 

$key = q/x_{n,A,2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img661.png"
 ALT="$x_{n,A,2}$">|; 

$key = q/vecq;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img536.png"
 ALT="$\vec q$">|; 

$key = q/v_l;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img171.png"
 ALT="$v_l$">|; 

$key = q/includegraphics[width=0.7hsize]{gzslashindividualization.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="386" HEIGHT="278" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img733.png"
 ALT="\includegraphics[width=0.7\hsize]{gz/individualization.eps.gz}">|; 

$key = q/{displaymath}rho_L={N_{veh}overL,N_{lanes}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="331" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img343.png"
 ALT="\begin{displaymath}
\rho_L = {N_{veh} \over L   N_{lanes}}  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.6hsize]{quick-bubbles-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="333" HEIGHT="107" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="\includegraphics[width=0.6\hsize]{quick-bubbles-fig.eps}">|; 

$key = q/includegraphics[angle=-90,width=0.6hsize]{gzslash7planshusband.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="334" HEIGHT="2" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="\includegraphics[angle=-90,width=0.6\hsize]{gz/7planshusband.eps.gz}">|; 

$key = q/{displaymath}P_{A,B,A,A,...}=P_{1,A},P_{2,B},P_{3,A},P_{4,A},....{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="403" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img672.png"
 ALT="\begin{displaymath}
P_{A,B,A,A,...} = P_{1,A}   P_{2,B}   P_{3,A}   P_{4,A}   ...  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashleft1.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img844.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/left1.eps.gz}">|; 

$key = q/N_{links};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img718.png"
 ALT="$N_{links}$">|; 

$key = q/X_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img549.png"
 ALT="$X_2$">|; 

$key = q/{displaymath}V_{bus}=0-frac{0.1}{min}timeshbox{timewslashbus}-frac{0.012}{cents}timeshbox{costwslashbus}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="457" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img596.png"
 ALT="\begin{displaymath}
V_{bus} = 0 - \frac{0.1}{min} \times \hbox{time w/ bus}
- \frac{0.012}{cents} \times \hbox{cost w/ bus}  .
\end{displaymath}">|; 

$key = q/{displaymath}rho'=A,cos(omegat-kx).qquad(*){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="376" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img447.png"
 ALT="\begin{displaymath}
\rho' = A   \cos(\omega t - kx)  . \qquad(*)
\end{displaymath}">|; 

$key = q/includegraphics[width=0.9hsize]{fb2-dataflow-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="499" HEIGHT="272" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img113.png"
 ALT="\includegraphics[width=0.9\hsize]{fb2-dataflow-fig.eps}">|; 

$key = q/<;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img779.png"
 ALT="$&lt;$">|; 

$key = q/f=0.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img750.png"
 ALT="$f = 0  .$">|; 

$key = q/t_5=t+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img807.png"
 ALT="$t_5 = t+1$">|; 

$key = q/(partial_trho+frac{dq}{drho}(rho),partial_xrho=0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="140" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img436.png"
 ALT="\(
\partial_t \rho + \frac{dq}{d\rho}(\rho)   \partial_x \rho = 0
\)">|; 

$key = q/{displaymath}v(t+tau)=alpha,Deltax(t),{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="346" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img386.png"
 ALT="\begin{displaymath}
v(t+\tau) = \alpha   \Delta x(t)  ,
\end{displaymath}">|; 

$key = q/q_b;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img563.png"
 ALT="$q_b$">|; 

$key = q/{displaymath}frac{p_i}{p_j}=frac{e^{mu,V_i}}{e^{mu,V_j}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="318" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img651.png"
 ALT="\begin{displaymath}
\frac{p_i}{p_j} = \frac{e^{\mu   V_i}}{e^{\mu   V_j}}  .
\end{displaymath}">|; 

$key = q/vecx_{i,a};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img230.png"
 ALT="$\vec x_{i,a}$">|; 

$key = q/ElogK;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img896.png"
 ALT="$E \log K$">|; 

$key = q/{displaymath}q=rho,v=1-rho.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="332" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img360.png"
 ALT="\begin{displaymath}
q = \rho   v = 1 - \rho  .
\end{displaymath}">|; 

$key = q/1slashv;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img773.png"
 ALT="$1/v$">|; 

$key = q/tildeq=rho,tildev;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img466.png"
 ALT="$\tilde q = \rho   \tilde v$">|; 

$key = q/d;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img174.png"
 ALT="$d$">|; 

$key = q/leftdelimiter"426830AU_Arightdelimiter"526930B=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$\left \delimiter ''426830A U_A\right \delimiter ''526930B =3$">|; 

$key = q/eta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img229.png"
 ALT="$\eta$">|; 

$key = q/X_n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img734.png"
 ALT="$X_n$">|; 

$key = q/N_{spl};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$N_{spl}$">|; 

$key = q/x;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="$x$">|; 

$key = q/Deltax=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img430.png"
 ALT="$\Delta x = 1$">|; 

$key = q/pm15-20%;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="81" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img915.png"
 ALT="$\pm 15-20\%$">|; 

$key = q/{displaymath}E(p):={T(1)slashpoverT(p)}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="336" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img320.png"
 ALT="\begin{displaymath}
E(p) := {T(1)/p \over T(p)}  .
\end{displaymath}">|; 

$key = q/{displaymath}V_{car}=-1.4-frac{0.1}{min}timeshbox{timewslashcar}-frac{0.012}{cents}timeshbox{costwslashcar};{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="467" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img595.png"
 ALT="\begin{displaymath}
V_{car} = -1.4 - \frac{0.1}{min} \times \hbox{time w/ car}
- \frac{0.012}{cents} \times \hbox{cost w/ car}  ;
\end{displaymath}">|; 

$key = q/0.99^{100}approx0.366;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="110" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img710.png"
 ALT="$0.99^{100} \approx 0.366$">|; 

$key = q/S_{bnd}=200~Bytes;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img308.png"
 ALT="$S_{bnd} = 200&nbsp;Bytes$">|; 

$key = q/rtr(p)={1~secslashT(p)}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="149" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img318.png"
 ALT="$
rtr(p) = {1&nbsp;sec / T(p)}  .
$">|; 

$key = q/2:1:1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img654.png"
 ALT="$2:1:1$">|; 

$key = q/ell=7.5~hbox{m};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img195.png"
 ALT="$\ell = 7.5&nbsp;\hbox{m}$">|; 

$key = q/max(epsilon_1,epsilon_2);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="80" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img626.png"
 ALT="$\max(\epsilon_1,\epsilon_2)$">|; 

$key = q/T_j;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img213.png"
 ALT="$T_j$">|; 

$key = q/{displaymath}hbox{{H{positivedefinite{df{{z(vecq){strictlyconvex}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="412" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img546.png"
 ALT="\begin{displaymath}
\hbox{$H$ positive definite $\df$ $z(\vec q)$ strictly convex}
\end{displaymath}">|; 

$key = q/d(v);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img400.png"
 ALT="$d(v)$">|; 

$key = q/ptoN_{links};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="80" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$p \to N_{links}$">|; 

$key = q/f_{ch}^{(n+1)}(t)=N_{cns}(t)slashN_{acs}^{(n)}(t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="197" HEIGHT="41" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img879.png"
 ALT="$f_{ch}^{(n+1)}(t) = N_{cns}(t) / N_{acs}^{(n)}(t)$">|; 

$key = q/partial_xoverline{rho}=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img440.png"
 ALT="$\partial_x \overline{\rho}=0$">|; 

$key = q/mu=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img623.png"
 ALT="$\mu =$">|; 

$key = q/{displaymath}rho_l,(v_l+c)=rho_r,(v_r+c){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="356" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img469.png"
 ALT="\begin{displaymath}
\rho_l   (v_l + c) = \rho_r   (v_r + c)
\end{displaymath}">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashstop2.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img841.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/stop2.eps.gz}">|; 

$key = q/(1,2,3,4,...);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="90" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img670.png"
 ALT="$(1,2,3,4,...)$">|; 

$key = q/t_0+T_{0,a};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img197.png"
 ALT="$t_0 + T_{0,a}$">|; 

$key = q/approx;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img759.png"
 ALT="$\approx$">|; 

$key = q/{displaymath}M_{n,k}=Big(P_{n,A},P_{n,B}Big)^{1slash2},xi_{n,k}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="377" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img701.png"
 ALT="\begin{displaymath}
M_{n,k} = \Big( P_{n,A}   P_{n,B} \Big)^{1/2}   \xi_{n,k}  .
\end{displaymath}">|; 

$key = q/5~vehslash6~sec=3000~vehslashhr;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="189" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img369.png"
 ALT="$5&nbsp;veh/6&nbsp;sec =
3000&nbsp;veh/hr$">|; 

$key = q/(A,B,A,A,...);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="107" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img671.png"
 ALT="$(A,B,A,A,...)$">|; 

$key = q/b_{net};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img280.png"
 ALT="$b_{net}$">|; 

$key = q/Mx;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img699.png"
 ALT="$M x$">|; 

$key = q/0to0to1to2to2to2to3toldots;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="252" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img771.png"
 ALT="$0 \to 0 \to 1 \to 2 \to 2 \to 2 \to 3 \to
\ldots$">|; 

$key = q/{displaymath}=sum_nBig(y_{n,A},(1!-!P_{n,A})-(1!-!y_{n,A}),P_{n,A}Big),xi_{n,k}=...{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="447" HEIGHT="55" BORDER="0"
 SRC="|."$dir".q|img690.png"
 ALT="\begin{displaymath}
= \sum_n
\Big( y_{n,A}   (1\!-\!P_{n,A}) - (1\!-\!y_{n,A})   P_{n,A}\Big)  
\xi_{n,k}
= ...
\end{displaymath}">|; 

$key = q/x_{t+1}=x_{t}+v_{t+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="120" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img354.png"
 ALT="$x_{t+1} = x_{t} + v_{t+1}$">|; 

$key = q/{displaymath}V_A=beta_1,x_{A,1}+beta_2,x_{A,2}+...=vecbetacdotvecx_{A}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img591.png"
 ALT="\begin{displaymath}
V_A = \beta_1   x_{A,1} + \beta_2   x_{A,2} + ...
= \vec\beta \cdot \vec x_{A}
\end{displaymath}">|; 

$key = q/486lexle490;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="103" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img819.png"
 ALT="$486 \le x \le 490$">|; 

$key = q/t_{des};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img80.png"
 ALT="$t_{des}$">|; 

$key = q/nablaz,(vecq^*)=vec0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img538.png"
 ALT="$\nabla z   (\vec q^*) = \vec 0$">|; 

$key = q/includegraphics[width=0.8hsize]{constrained-optim-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="444" HEIGHT="330" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img539.png"
 ALT="\includegraphics[width=0.8\hsize]{constrained-optim-fig.eps}">|; 

$key = q/beta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img94.png"
 ALT="$\beta$">|; 

$key = q/1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img483.png"
 ALT="$1$">|; 

$key = q/vgev_l;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img169.png"
 ALT="$v \ge
v_l$">|; 

$key = q/alphale1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img551.png"
 ALT="$\alpha \le 1$">|; 

$key = q/epsilon_*:=max_{jne1}[DeltaV_{1j}+epsilon_j];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="173" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img645.png"
 ALT="$
\epsilon_* := \max_{j \ne 1}[ \Delta V_{1j} + \epsilon_j ]
$">|; 

$key = q/=vecx_{n,A};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img662.png"
 ALT="$= \vec x_{n,A}$">|; 

$key = q/V(rho);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img495.png"
 ALT="$V(\rho)$">|; 

$key = q/f_{dmn};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img297.png"
 ALT="$f_{dmn}$">|; 

$key = q/T_{0,a}={L_aslashv_{0,a}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="104" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img193.png"
 ALT="$T_{0,a}={L_a / v_{0,a}}$">|; 

$key = q/E;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img897.png"
 ALT="$E$">|; 

$key = q/{displaymath}tabular{{|c|c|c|}hlineCar&Bus&Coeffhline1&0&-1.4timewithcar[min]&ticostwithcar[cent]&costwithbus[cent]&-0.012hlinetabular{{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="448" HEIGHT="96" BORDER="0"
 SRC="|."$dir".q|img594.png"
 ALT="\begin{displaymath}
\begin{tabular}{\vert c\vert c\vert c\vert}
\hline
Car &amp; Bus...
...r[cent] &amp; cost with bus[cent] &amp; -0.012 \\\\
\hline
\end{tabular}\end{displaymath}">|; 

$key = q/{displaymath}p_i=frac{e^{betaU_i}}{e^{betaU_{max}},sum_je^{beta(U_j-U_{max})}}<frac{e^{betaU_i}}{e^{betaU_{max}}},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="418" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img100.png"
 ALT="\begin{displaymath}
p_i = \frac{e^{\beta U_i}}{e^{\beta U_{max}}
  \sum_j e^{ ...
..._j - U_{max}) }}
&lt; \frac{e^{\beta U_i}}{e^{\beta U_{max}}}  ,
\end{displaymath}">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashstop1-cp.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img850.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/stop1-cp.eps.gz}">|; 

$key = q/m;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img574.png"
 ALT="$m$">|; 

$key = q/{displaymath}v={sumvoverk*N}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="313" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img816.png"
 ALT="\begin{displaymath}
v = {\sum v \over k * N}
\end{displaymath}">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashyield2.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img843.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/yield2.eps.gz}">|; 

$key = q/rnd;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img203.png"
 ALT="$rnd$">|; 

$key = q/gap;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="$gap$">|; 

$key = q/=~200~hbox{MByte};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="97" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img730.png"
 ALT="$=&nbsp; 200&nbsp;\hbox{MByte}$">|; 

$key = q/y_{n,B}=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img669.png"
 ALT="$y_{n,B} = 0$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashfree3-vel.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="244" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img837.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/free3-vel.eps.gz}">|; 

$key = q/eps_*-eps_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img658.png"
 ALT="$\eps_* - \eps_1$">|; 

$key = q/10^7;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img245.png"
 ALT="$10^7$">|; 

$key = q/v=5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img143.png"
 ALT="$v=5$">|; 

$key = q/v:=min{v,g};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="104" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img381.png"
 ALT="$v := \min\{ v, g \}$">|; 

$key = q/{displaymath}N_{cells}=Lslashell,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="322" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img51.png"
 ALT="\begin{displaymath}
N_{cells} = L/\ell ,
\end{displaymath}">|; 

$key = q/A,p^{alpha}-A;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img257.png"
 ALT="$A  
p^{\alpha} - A$">|; 

$key = q/beta_b>beta_c;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img242.png"
 ALT="$\beta_b &gt;
\beta_c$">|; 

$key = q/{displaymath}p_{hw}propton_{wo}(w)f_{ch}(t_{hw}).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="357" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img883.png"
 ALT="\begin{displaymath}
p_{hw} \propto n_{wo}(w) f_{ch}(t_{hw}).
\end{displaymath}">|; 

$key = q/p^{alpha};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img254.png"
 ALT="$p^{\alpha}$">|; 

$key = q/0.25;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img216.png"
 ALT="$0.25$">|; 

$key = q/v=V(rho);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img503.png"
 ALT="$v = V(\rho)$">|; 

$key = q/d^*;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img798.png"
 ALT="$d^*$">|; 

$key = q/textstyle=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img404.png"
 ALT="$\textstyle =$">|; 

$key = q/v<v_r;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img172.png"
 ALT="$v &lt; v_r$">|; 

$key = q/beta=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img109.png"
 ALT="$\beta = 1$">|; 

$key = q/{displaymath}V_A=beta_1,x_{A,1}+beta_2,x_{A,2}+...=vecbetacdotvecx_A.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="406" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img666.png"
 ALT="\begin{displaymath}
V_A = \beta_1   x_{A,1} + \beta_2   x_{A,2} + ...
= \vec \beta \cdot \vec x_A  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashfree3.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="244" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img835.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/free3.eps.gz}">|; 

$key = q/{displaymath}f^{rs,p}ge0.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="311" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img523.png"
 ALT="\begin{displaymath}
f^{rs,p} \ge 0  .
\end{displaymath}">|; 

$key = q/X_0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img745.png"
 ALT="$X_0$">|; 

$key = q/p_{noise}=0.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="85" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img367.png"
 ALT="$p_{noise}=0.5$">|; 

$key = q/T=60~sec;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img326.png"
 ALT="$T=60&nbsp;sec$">|; 

$key = q/lceilC_arceil;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img205.png"
 ALT="$\lceil C_a \rceil$">|; 

$key = q/includegraphics[width=0.5textwidth]{cap-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="271" HEIGHT="339" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img504.png"
 ALT="\includegraphics[width=0.5\textwidth]{cap-fig.eps}">|; 

$key = q/mph;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img153.png"
 ALT="$mph$">|; 

$key = q/vdots;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="8" HEIGHT="55" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img49.png"
 ALT="$\vdots$">|; 

$key = q/N;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img202.png"
 ALT="$N$">|; 

$key = q/ell;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img53.png"
 ALT="$\ell$">|; 

$key = q/b_{nd}=40;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img278.png"
 ALT="$b_{nd} = 40$">|; 

$key = q/epsilon_j(jne1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img643.png"
 ALT="$\epsilon_j  (j \ne 1)$">|; 

$key = q/b;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img276.png"
 ALT="$b$">|; 

$key = q/gamma;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img235.png"
 ALT="$\gamma$">|; 

$key = q/Phi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img736.png"
 ALT="$\Phi$">|; 

$key = q/p(X)=delta(X-X_0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="134" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img746.png"
 ALT="$p(X) = \delta(X - X_0)$">|; 

$key = q/P_{survey};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img679.png"
 ALT="$P_{survey}$">|; 

$key = q/{displaymath}partial_trho'+{dqoverdrho}(overlinerho),partial_xrho'=0.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="354" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img445.png"
 ALT="\begin{displaymath}
\partial_t \rho'
+ {dq \over d\rho}(\overline\rho)   \partial_x \rho'
= 0  .
\end{displaymath}">|; 

$key = q/v;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img336.png"
 ALT="$v$">|; 

$key = q/alpha<1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img419.png"
 ALT="$\alpha &lt; 1$">|; 

$key = q/p_n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img132.png"
 ALT="$p_n$">|; 

$key = q/includegraphics[height=0.3hsize]{plans-server-timing-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="291" HEIGHT="166" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img325.png"
 ALT="\includegraphics[height=0.3\hsize]{plans-server-timing-fig.eps}">|; 

$key = q/TtimesRtimesS;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img117.png"
 ALT="$T \times R \times S$">|; 

$key = q/x^TM^TMx=(Mx)^T,(Mx)>0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="217" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img698.png"
 ALT="$x^T M^T M x = (M x)^T   (M x) &gt;
0$">|; 

$key = q/overlinerho+rho';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img438.png"
 ALT="$\overline \rho +
\rho'$">|; 

$key = q/(frac{partiallogP_{n,A}}{partialbeta_k}=xi_{n,k},P_{n,B}.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="155" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img686.png"
 ALT="\(
\frac{\partial \log P_{n,A}}{\partial \beta_k}
= \xi_{n,k}   P_{n,B}  .
\)">|; 

$key = q/dotv=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img397.png"
 ALT="$\dot v = 0$">|; 

$key = q/500-750;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img920.png"
 ALT="$500-750$">|; 

$key = q/epsilon_B;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img635.png"
 ALT="$\epsilon_B$">|; 

$key = q/{displaymath}frac{df}{dt}=-f.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="310" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img748.png"
 ALT="\begin{displaymath}
\frac{df}{dt} = - f  .
\end{displaymath}">|; 

$key = q/mu;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img236.png"
 ALT="$\mu$">|; 

$key = q/Sigma;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img111.png"
 ALT="$\Sigma$">|; 

$key = q/{displaymath}rho_l,tildev_l=rho_r,tildev_r.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="322" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img467.png"
 ALT="\begin{displaymath}
\rho_l   \tilde v_l = \rho_r   \tilde v_r  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.8textwidth]{bottleneck-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="247" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img515.png"
 ALT="\includegraphics[width=0.8\textwidth]{bottleneck-fig.eps}">|; 

$key = q/x_{n,A,1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img660.png"
 ALT="$x_{n,A,1}$">|; 

$key = q/{displaymath}1,000~hbox{destinations}~times~10,000~hbox{nodes}~times~5~hbox{optionsperdestination}~times~4~hbox{bytespernode}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="547" HEIGHT="62" BORDER="0"
 SRC="|."$dir".q|img729.png"
 ALT="\begin{displaymath}
1 000&nbsp;\hbox{destinations}&nbsp;\times&nbsp; 10 000&nbsp;\hbox{nodes}
&nbsp;...
...box{options per destination}&nbsp;\times&nbsp; 4&nbsp;\hbox{bytes per
node}
\end{displaymath}">|; 

$key = q/dqslashdrho=v_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="100" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img472.png"
 ALT="$dq/d\rho = v_{max}$">|; 

$key = q/{displaymath}F(epsilon)=exp[-e^{-mu,(epsilon-eta)}].{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="360" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img620.png"
 ALT="\begin{displaymath}
F(\epsilon) = \exp[ - e^{ - \mu   (\epsilon - \eta) } ]  .
\end{displaymath}">|; 

$key = q/F=dqslashdrho;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img443.png"
 ALT="$F = dq/d\rho$">|; 

$key = q/n_{nb}to6;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img289.png"
 ALT="$n_{nb} \to 6$">|; 

$key = q/N_{trips}sim3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="75" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img721.png"
 ALT="$N_{trips} \sim 3$">|; 

$key = q/{displaymath}P_{car}=frac{e^{V_{car}}}{e^{V_{car}}+e^{V_{bus}}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="352" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img599.png"
 ALT="\begin{displaymath}
P_{car} = \frac{e^{V_{car}}}{e^{V_{car}} + e^{V_{bus}}}  .
\end{displaymath}">|; 

$key = q/x=500;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img822.png"
 ALT="$x=500$">|; 

$key = q/N_{tr}slashN_{acs};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img877.png"
 ALT="$N_{tr}/N_{acs}$">|; 

$key = q/x_{a,j},jlek;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="75" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img226.png"
 ALT="$x_{a,j}, j \le k$">|; 

$key = q/{displaymath}f_{ch}(T)proptoN_{cns}(T),slash,N_{wp}(T).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="375" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img889.png"
 ALT="\begin{displaymath}
f_{ch}(T) \propto N_{cns}(T)   /   N_{wp}(T)  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.6textwidth]{184tty-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="323" HEIGHT="176" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img364.png"
 ALT="\includegraphics[width=0.6\textwidth]{184tty-fig.eps}">|; 

$key = q/100slash5=20;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="81" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img279.png"
 ALT="$100/5 = 20$">|; 

$key = q/E(p);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img321.png"
 ALT="$E(p)$">|; 

$key = q/{displaymath}f_{ch}^{(n+1)}(t)=N_{tr}(t)slashN_{acs}^{(n)}(t).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="372" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img872.png"
 ALT="\begin{displaymath}
f_{ch}^{(n+1)}(t) = N_{tr}(t) / N_{acs}^{(n)}(t)  .
\end{displaymath}">|; 

$key = q/250-500;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img919.png"
 ALT="$250-500$">|; 

$key = q/q=rho,v_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img357.png"
 ALT="$q = \rho   v_{max}$">|; 

$key = q/gapge3cdotv_{oncoming};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="134" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$gap \ge 3 \cdot v_{oncoming}$">|; 

$key = q/g_t;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img128.png"
 ALT="$g_t$">|; 

$key = q/{displaymath}V_{bus}=0-2-1.2=-3.2.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="370" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img598.png"
 ALT="\begin{displaymath}
V_{bus} = 0 - 2 - 1.2 = - 3.2  .
\end{displaymath}">|; 

$key = q/{displaymath}P_{survey}=prod_nP_{n,A}^{y_{n,A}},P_{n,B}^{y_{n,B}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="369" HEIGHT="55" BORDER="0"
 SRC="|."$dir".q|img674.png"
 ALT="\begin{displaymath}
P_{survey} = \prod_n P_{n,A}^{y_{n,A}}   P_{n,B}^{y_{n,B}}  .
\end{displaymath}">|; 

$key = q/=1slashrho_{jam}=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="87" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img755.png"
 ALT="$= 1 / \rho_{jam} =$">|; 

$key = q/includegraphics[width=0.8textwidth]{path-flows-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="441" HEIGHT="92" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img524.png"
 ALT="\includegraphics[width=0.8\textwidth]{path-flows-fig.eps}">|; 

$key = q/{displaymath}mu^{-1},ln[e^{mueta_1}+e^{mueta_2}].{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="346" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img627.png"
 ALT="\begin{displaymath}
\mu^{-1}   \ln[ e^{\mu \eta_1} + e^{\mu \eta_2} ]  .
\end{displaymath}">|; 

$key = q/V_A;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img579.png"
 ALT="$V_A$">|; 

$key = q/logP_{n,A};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img684.png"
 ALT="$\log P_{n,A}$">|; 

$key = q/k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img104.png"
 ALT="$k$">|; 

$key = q/;;;;;-;;;;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img781.png"
 ALT="$\;\;\;\;\;-\;\;\;$">|; 

$key = q/tau;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img401.png"
 ALT="$\tau$">|; 

$key = q/v=alphaDeltax;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img390.png"
 ALT="$v = \alpha \Delta x$">|; 

$key = q/V_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img858.png"
 ALT="$V_i$">|; 

$key = q/eta_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img859.png"
 ALT="$\eta_i$">|; 

$key = q/dq=frac{dq}{drho},drho;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img435.png"
 ALT="$dq =
\frac{dq}{d\rho}   d\rho$">|; 

$key = q/t_a=t_a(q_a);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="79" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img518.png"
 ALT="$t_a = t_a(q_a)$">|; 

$key = q/tau=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img421.png"
 ALT="$\tau = 1$">|; 

$key = q/{displaymath}dot{v}(t+tau)=alpha,frac{[v(t+tau)]^l}{[Deltax(t)]^m},Deltav(t).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="383" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img395.png"
 ALT="\begin{displaymath}
\dot{v}(t+\tau) = \alpha   \frac{[v(t+\tau)]^l}{ [\Delta x(t)]^m }  
\Delta v(t)  .
\end{displaymath}">|; 

$key = q/T(q)=Lslashv(q);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="104" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img507.png"
 ALT="$T(q) = L/v(q)$">|; 

$key = q/{displaymath}dotv(t)={1overtau},Big(V(Deltax(t))-v(t)Big){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="373" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img393.png"
 ALT="\begin{displaymath}
\dot v(t) = {1 \over \tau}   \Big( V(\Delta x(t)) - v(t) \Big)
\end{displaymath}">|; 

$key = q/epsilon=epsilon_B-epsilon_A;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="85" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img636.png"
 ALT="$\epsilon =
\epsilon_B - \epsilon_A$">|; 

$key = q/({rho_lv_l-rho_rv_roverrho_l-rho_r}=:{DeltaqoverDeltarho}=c.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="149" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img470.png"
 ALT="\(
{\rho_l v_l - \rho_r v_r \over \rho_l - \rho_r}
=: {\Delta q \over \Delta \rho} = c  .
\)">|; 

$key = q/t_4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img806.png"
 ALT="$t_4$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashvmax2.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img847.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/vmax2.eps.gz}">|; 

$key = q/{displaymath}tildebeta_k:=mu,beta_k.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="317" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img707.png"
 ALT="\begin{displaymath}
\tilde \beta_k := \mu   \beta_k  .
\end{displaymath}">|; 

$key = q/displaystyletildev_t+frac{g_t-tildev_ttau}{overline{v}slashb+tau};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="95" HEIGHT="50" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img405.png"
 ALT="$\displaystyle \tilde v_t +
\frac{g_t - \tilde v_t\tau}{\overline{v}/b + \tau}$">|; 

$key = q/gslashtau;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img418.png"
 ALT="$g/\tau$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashfree1.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="246" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img832.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/free1.eps.gz}">|; 

$key = q/includegraphics[angle=-90,width=hsize]{gzslash5actshusband.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="556" HEIGHT="2" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img219.png"
 ALT="\includegraphics[angle=-90,width=\hsize]{gz/5actshusband.eps.gz}">|; 

$key = q/includegraphics[width=0.8hsize]{efficiency-e2-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="186" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img262.png"
 ALT="\includegraphics[width=0.8\hsize]{efficiency-e2-gpl.eps}">|; 

$key = q/(partial_tv+v,partial_xv={1overtau},Big(V(rho)-vBig)-{c_0^2overrho},partial_xrho+nu,partial_x^2v.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="323" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img502.png"
 ALT="\( \partial_t v
+ v   \partial_x v
= {1 \over \tau}   \Big( V(\rho) - v \Big)
- {c_0^2 \over \rho}   \partial_x \rho
+ \nu   \partial_x^2 v  . \)">|; 

$key = q/{displaymath}left[array{{c}xyarray{right]=left[array{{c}x_sy_sarray{right]+left[array{{c}d,costhetad,sinthetaarray{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="377" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img61.png"
 ALT="\begin{displaymath}
\left[\begin{array}{c}x\ y\ \end{array}\right]
= \left[\be...
...}{c}d   \cos \theta \ d   \sin \theta
\ \end{array}\right]
\end{displaymath}">|; 

$key = q/(P_{n,B}=frac{e^{-vecbetacdotvecxi_n}}{1+e^{-vecbetacdotvecxi_n}}=frac{1}{1+e^{+vecbetacdotvecxi_n}}.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="205" HEIGHT="41" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img683.png"
 ALT="\(
P_{n,B}
= \frac{e^{-\vec\beta \cdot \vec\xi_n}}{1 + e^{- \vec\beta \cdot \vec\xi_n}}
= \frac{1}{1 + e^{+ \vec \beta \cdot \vec\xi_n}}  .
\)">|; 

$key = q/U_j=-T_j;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img212.png"
 ALT="$U_j = - T_j$">|; 

$key = q/{displaymath}int_x^{x+Deltax}f(x){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="318" HEIGHT="61" BORDER="0"
 SRC="|."$dir".q|img603.png"
 ALT="\begin{displaymath}
\int_x^{x+\Delta x} f(x)
\end{displaymath}">|; 

$key = q/N_{acs}(t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img863.png"
 ALT="$N_{acs}(t)$">|; 

$key = q/min[v+1,v_{max},gap_{other}]>min[v+1,v_{max},gap];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="347" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img163.png"
 ALT="$min[v+1,v_{max},gap_{other}] &gt;
\min[v+1,v_{max},gap]$">|; 

$key = q/1000-1500;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="87" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img922.png"
 ALT="$1000-1500$">|; 

$key = q/includegraphics[width=0.8hsize]{ob-fb-plot-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="445" HEIGHT="311" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img264.png"
 ALT="\includegraphics[width=0.8\hsize]{ob-fb-plot-gpl.eps}">|; 

$key = q/L;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img52.png"
 ALT="$L$">|; 

$key = q/f^{rs,p}ge0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img552.png"
 ALT="$f^{rs,p} \ge 0$">|; 

$key = q/2slash3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img656.png"
 ALT="$2/3$">|; 

$key = q/{displaymath}f(x)=F'(x).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="325" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img606.png"
 ALT="\begin{displaymath}
f(x) = F'(x)  .
\end{displaymath}">|; 

$key = q/f_{ch}(.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img869.png"
 ALT="$f_{ch}(.)$">|; 

$key = q/F(DeltaT);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img900.png"
 ALT="$F(\Delta T)$">|; 

$key = q/weight4=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="89" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img800.png"
 ALT="$weight4 = 0$">|; 

$key = q/beta_x;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img243.png"
 ALT="$\beta_x$">|; 

$key = q/t;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="$t$">|; 

$key = q/N_{spl}(p)slashp;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img291.png"
 ALT="$N_{spl}(p)/p$">|; 

$key = q/U_i<U_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="79" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img99.png"
 ALT="$U_i &lt; U_{max}$">|; 

$key = q/U_X;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img575.png"
 ALT="$U_X$">|; 

$key = q/includegraphics[width=0.7hsize]{3d-assign-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="387" HEIGHT="207" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img508.png"
 ALT="\includegraphics[width=0.7\hsize]{3d-assign-fig.eps}">|; 

$key = q/2pislashomega;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img450.png"
 ALT="$2\pi/\omega$">|; 

$key = q/n_{nb}simconst;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="86" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img296.png"
 ALT="$n_{nb} \sim const$">|; 

$key = q/weight3=v_{max}-gap_b=5-6=-1<1=weight1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="370" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="$weight3 = v_{max} - gap_b = 5 - 6 = -1 &lt; 1 = weight1$">|; 

$key = q/includegraphics[width=0.8hsize]{gzslashdistrib.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="263" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img248.png"
 ALT="\includegraphics[width=0.8\hsize]{gz/distrib.eps.gz}">|; 

$key = q/rho=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img474.png"
 ALT="$\rho=1$">|; 

$key = q/{figure}{hrule{{smallskip{algorithmic{{small{FOR{alllinks}WHILE{vehiclehasarriveTE{movevehicletonextlink}ENDWHILEENDFORalgorithmic{{hrule{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="556" HEIGHT="124" BORDER="0"
 SRC="|."$dir".q|img206.png"
 ALT="\begin{figure}\hrule\smallskip\begin{algorithmic}\small\FOR{all links}
\WHILE{ve...
...move vehicle to next link}
\ENDWHILE
\ENDFOR
\end{algorithmic}\hrule\end{figure}">|; 

$key = q/includegraphics[width=0.6hsize]{queue-problem-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="328" HEIGHT="271" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img210.png"
 ALT="\includegraphics[width=0.6\hsize]{queue-problem-fig.eps}">|; 

$key = q/{displaymath}=sum_nBig(y_{n,A}-P_{n,A}Big),xi_{n,k}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="366" HEIGHT="55" BORDER="0"
 SRC="|."$dir".q|img691.png"
 ALT="\begin{displaymath}
= \sum_n \Big( y_{n,A} - P_{n,A} \Big)   \xi_{n,k}  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashfree3-usage-flow.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img838.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/free3-usage-flow.eps.gz}">|; 

$key = q/ptoinfty;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img286.png"
 ALT="$p \to \infty$">|; 

$key = q/n_{nb};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img284.png"
 ALT="$n_{nb}$">|; 

$key = q/{displaymath}P_Aproptoe^{V_A},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="314" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img578.png"
 ALT="\begin{displaymath}
P_A \propto e^{V_A}  ,
\end{displaymath}">|; 

$key = q/N_{destinations};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="90" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img728.png"
 ALT="$N_{destinations}$">|; 

$key = q/=5cdot7.5~hbox{m}slashhbox{sec}=135hbox{kmslashh}approx85hbox{mph};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="249" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img757.png"
 ALT="$= 5 \cdot 7.5&nbsp;\hbox{m} /
\hbox{sec} = 135 \hbox{km/h} \approx 85 \hbox{mph}$">|; 

$key = q/f_{ch}(t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img864.png"
 ALT="$f_{ch}(t)$">|; 

$key = q/t=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img454.png"
 ALT="$t=0$">|; 

$key = q/xslasht=omegaslashk;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="75" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img457.png"
 ALT="$x/t = \omega/k$">|; 

$key = q/f_0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img752.png"
 ALT="$f_0$">|; 

$key = q/weight1+weight4>weight2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="212" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img795.png"
 ALT="$weight1 + weight4 &gt; weight2$">|; 

$key = q/{displaymath}T_{cmm}(p)=N_{sub}cdotBig(n_{nb}(p),T_{lt}+{N_{spl}(p)overp}{S_{bnd}overb_{nd}}+N_{spl}(p),{S_{bnd}overb_{net}}Big),{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="512" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img281.png"
 ALT="\begin{displaymath}
T_{cmm}(p) = N_{sub} \cdot \Big( n_{nb}(p)   T_{lt}
+ {N_{s...
...ver b_{nd} }
+ N_{spl}(p)   { S_{bnd} \over b_{net} }\Big) ,
\end{displaymath}">|; 

$key = q/{displaymath}f(eps)=frac{1}{sqrt{2pi},sigma},expleft(-frac{1}{2},left(frac{epsilon}{sigma}right)^2right).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="392" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img614.png"
 ALT="\begin{displaymath}
f(\eps)
= \frac{1}{\sqrt{2\pi}   \sigma}
  \exp\left( - \frac{1}{2}   \left(\frac{\epsilon}{\sigma}\right)^2 \right)  .
\end{displaymath}">|; 

$key = q/{displaymath}nabla^2L=-M^T,M.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="337" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img702.png"
 ALT="\begin{displaymath}
\nabla^2 L = - M^T   M  .
\end{displaymath}">|; 

$key = q/=5times7.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img811.png"
 ALT="$=5 \times 7.5$">|; 

$key = q/t+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img47.png"
 ALT="$t+1$">|; 

$key = q/T_{link}(q);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img510.png"
 ALT="$T_{link}(q)$">|; 

$key = q/v_{max}=5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$v_{max}=5$">|; 

$key = q/c_{in};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img486.png"
 ALT="$c_{in}$">|; 

$key = q/DeltaT;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img901.png"
 ALT="$\Delta T$">|; 

$key = q/A;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img577.png"
 ALT="$A$">|; 

$key = q/{displaymath}L=logP_{survey}=sum_n[y_{n,A},logP_{n,A}+y_{n,B},logP_{n,B}].{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="461" HEIGHT="55" BORDER="0"
 SRC="|."$dir".q|img676.png"
 ALT="\begin{displaymath}
L = \log P_{survey}
= \sum_n [ y_{n,A}   \log P_{n,A} + y_{n,B}   \log P_{n,B} ]  .
\end{displaymath}">|; 

$key = q/t_{hw};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img881.png"
 ALT="$t_{hw}$">|; 

$key = q/U;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img224.png"
 ALT="$U$">|; 

$key = q/{displaymath}V_B=...=vecbetacdotvecx_{B}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="339" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img592.png"
 ALT="\begin{displaymath}
V_B = ... = \vec\beta \cdot \vec x_{B}  .
\end{displaymath}">|; 

$key = q/includegraphics[width=0.45textwidth]{scatter-e2-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="250" HEIGHT="252" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img918.png"
 ALT="\includegraphics[width=0.45\textwidth]{scatter-e2-gpl.eps}">|; 

$key = q/i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img59.png"
 ALT="$i$">|; 

$key = q/g_t=v_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img141.png"
 ALT="$g_t = v_{max}$">|; 

$key = q/(i+1),ell;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="59" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img60.png"
 ALT="$(i+1)   \ell$">|; 

$key = q/betaU_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img861.png"
 ALT="$\beta U_i$">|; 

$key = q/v_{t+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img136.png"
 ALT="$v_{t+1}$">|; 

$key = q/N_{spl}=140,p^{0.59}-140;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="157" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img252.png"
 ALT="$N_{spl} =
140   p^{0.59} - 140$">|; 

$key = q/vecvnevec0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img543.png"
 ALT="$\vec v \ne \vec 0$">|; 

$key = q/10^3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img68.png"
 ALT="$10^3$">|; 

$key = q/alpha,Deltax_t;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img391.png"
 ALT="$\alpha   \Delta
x_t$">|; 

$key = q/weight1>weight2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="137" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img786.png"
 ALT="$weight1 &gt; weight2$">|; 

$key = q/N_{cns}(T);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img857.png"
 ALT="$N_{cns}(T)$">|; 

$key = q/T_{early};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img84.png"
 ALT="$T_{early}$">|; 

$key = q/includegraphics[width=0.8hsize]{axhausen-net-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="137" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img66.png"
 ALT="\includegraphics[width=0.8\hsize]{axhausen-net-fig.eps}">|; 

$key = q/O(f,N,ElogK);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img895.png"
 ALT="$O(f   N   E \log K)$">|; 

$key = q/{displaymath}f(epsilon)=F'(epsilon)=mu,e^{-mu,(epsilon-eta)},exp[-e^{-mu,(epsilon-eta)}].{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="425" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img621.png"
 ALT="\begin{displaymath}
f(\epsilon) = F'(\epsilon) = \mu   e^{- \mu   (\epsilon - \eta)}
  \exp[ - e^{- \mu   (\epsilon - \eta)} ]  .
\end{displaymath}">|; 

$key = q/7.5~mslashsec=27~kmslashh=16.875~mph;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="254" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img148.png"
 ALT="$7.5&nbsp;m/sec = 27&nbsp;km/h = 16.875&nbsp;mph$">|; 

$key = q/{displaymath}Pr(A)=Pr(U_A>U_B)=Pr(epsilon_B-epsilon_A<V_A-V_B).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="456" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img609.png"
 ALT="\begin{displaymath}
Pr(A) = Pr( U_A &gt; U_B) = Pr( \epsilon_B - \epsilon_A &lt; V_A - V_B )  .
\end{displaymath}">|; 

$key = q/max_j[DeltaV_{1j}+eps_j];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="118" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img657.png"
 ALT="$\max_j[\Delta
V_{1j} + \eps_j]$">|; 

$key = q/z(@mathbf{q});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="86" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$z(\@mathbf {q})$">|; 

$key = q/t_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$t_2$">|; 

$key = q/{displaymath}X_*=Phi(X_*).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="324" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img739.png"
 ALT="\begin{displaymath}
X_* = \Phi(X_*)  .
\end{displaymath}">|; 

$key = q/frac{dq}{drho}(overlinerho);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img461.png"
 ALT="$\frac{dq}{d\rho}(\overline\rho)$">|; 

$key = q/{displaymath}V_{car}=-1.4-1-2.4=-4.8;{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="382" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img597.png"
 ALT="\begin{displaymath}
V_{car} = -1.4 - 1 - 2.4 = - 4.8  ;
\end{displaymath}">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashfree3-vel-flow.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img836.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/free3-vel-flow.eps.gz}">|; 

$key = q/v_i<gap_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img767.png"
 ALT="$v_i &lt; gap_i$">|; 

$key = q/{displaymath}sum_pf^{rs,p}=Q^{rs}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="333" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img522.png"
 ALT="\begin{displaymath}
\sum_p f^{rs,p} = Q^{rs}  .
\end{displaymath}">|; 

$key = q/N_{people};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img716.png"
 ALT="$N_{people}$">|; 

$key = q/(*);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img453.png"
 ALT="$(*)$">|; 

$key = q/gap_o;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img788.png"
 ALT="$gap_o$">|; 

$key = q/U=RI;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img505.png"
 ALT="$U=RI$">|; 

$key = q/includegraphics[width=0.5hsize]{rct-time-2-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="276" HEIGHT="220" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img352.png"
 ALT="\includegraphics[width=0.5\hsize]{rct-time-2-fig.eps}">|; 

$key = q/includegraphics[width=0.8hsize]{splitedges-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="318" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img260.png"
 ALT="\includegraphics[width=0.8\hsize]{splitedges-gpl.eps}">|; 

$key = q/{displaymath}V_i=beta_1,x_{a,1}+...+beta_k,x_{a,k}+beta_{k+1},x_{i,k+1}+...,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="435" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img225.png"
 ALT="\begin{displaymath}
V_i = \beta_1   x_{a,1} + ... + \beta_k   x_{a,k}
+ \beta_{k+1}   x_{i,k+1} + ...  ,
\end{displaymath}">|; 

$key = q/{displaymath}b_{abs,c}=(1slashN_c),sum_i(x_i-xi_i)=(1slashN_c),Bigg(sum_ix_i-sumx{~~~and~~~}b_{rel,c}=b_{abs,c},slash,langlexirangle_c,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="562" HEIGHT="86" BORDER="0"
 SRC="|."$dir".q|img910.png"
 ALT="\begin{displaymath}
b_{abs,c} = (1/N_c)   \sum_i (x_i - \xi_i)
= (1/N_c)   \B...
...and&nbsp;&nbsp;&nbsp; }
b_{rel,c} = b_{abs,c}   /   \langle\xi\rangle_c  ,
\end{displaymath}">|; 

$key = q/ell_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img348.png"
 ALT="$\ell_i$">|; 

$key = q/T_{lt};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img274.png"
 ALT="$T_{lt}$">|; 

$key = q/(nablaz)_bequivpartial_bequivfrac{partial}{partialq_b};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="124" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img562.png"
 ALT="$(\nabla z)_b \equiv \partial_b \equiv
\frac{\partial}{\partial q_b}$">|; 

$key = q/includegraphics[width=0.8hsize]{iteration5-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="440" HEIGHT="146" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img894.png"
 ALT="\includegraphics[width=0.8\hsize]{iteration5-fig.eps}">|; 

$key = q/weight4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="$weight4$">|; 

$key = q/beta_b;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img240.png"
 ALT="$\beta_b$">|; 

$key = q/includegraphics[width=0.8hsize]{nocars-rtr-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="305" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img313.png"
 ALT="\includegraphics[width=0.8\hsize]{nocars-rtr-gpl.eps}">|; 

$key = q/includegraphics[angle=-90,width=0.8hsize]{gzslashreplan.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="2" HEIGHT="1" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="\includegraphics[angle=-90,width=0.8\hsize]{gz/replan.eps.gz}">|; 

$key = q/c_{in}=q_{in}slash(rho_{in}-1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="135" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img485.png"
 ALT="$c_{in} = q_{in}/(\rho_{in}-1)$">|; 

$key = q/n_{wo}(w);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img882.png"
 ALT="$n_{wo}(w)$">|; 

$key = q/t_1+t_{rct};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="$t_1 + t_{rct}$">|; 

$key = q/gap_{other,back}>v_{back};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="144" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img165.png"
 ALT="$gap_{other,back} &gt; v_{back}$">|; 

$key = q/vecvcdotHvecv>0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="79" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img542.png"
 ALT="$\vec v \cdot H \vec v &gt; 0$">|; 

$key = q/{displaymath}p_iproptoe^{betaU_i}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="314" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img89.png"
 ALT="\begin{displaymath}
p_i \propto e^{ \beta U_i }  .
\end{displaymath}">|; 

$key = q/r;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img520.png"
 ALT="$r$">|; 

$key = q/includegraphics[width=0.45textwidth]{scatter-080-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="250" HEIGHT="252" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img917.png"
 ALT="\includegraphics[width=0.45\textwidth]{scatter-080-gpl.eps}">|; 

$key = q/U_B;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="$U_B$">|; 

$key = q/{displaymath}p_Xproptoe^{mu,V_X}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="316" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img705.png"
 ALT="\begin{displaymath}
p_X \propto e^{\mu   V_X}
\end{displaymath}">|; 

$key = q/epsilon_*;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img646.png"
 ALT="$\epsilon_*$">|; 

$key = q/weight1=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="89" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img783.png"
 ALT="$weight1 = 0$">|; 

$key = q/includegraphics[width=hsize]{gzslashtot_travel_time.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="553" HEIGHT="368" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img908.png"
 ALT="\includegraphics[width=\hsize]{gz/tot_travel_time.eps.gz}">|; 

$key = q/U_j;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img96.png"
 ALT="$U_j$">|; 

$key = q/v_{back};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img166.png"
 ALT="$v_{back}$">|; 

$key = q/leftlangleU_Brightrangle=9;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img588.png"
 ALT="$\left\langle U_B\right\rangle =9$">|; 

$key = q/x=900;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img821.png"
 ALT="$x=900$">|; 

$key = q/{displaymath}T_{msg}=T_{lt}+{S_{msg}overb},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="347" HEIGHT="57" BORDER="0"
 SRC="|."$dir".q|img273.png"
 ALT="\begin{displaymath}
T_{msg} = T_{lt} + {S_{msg} \over b}  ,
\end{displaymath}">|; 

$key = q/2000~vehslashh;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img160.png"
 ALT="$2000&nbsp;veh/h$">|; 

$key = q/{displaymath}hbox{{foralla{:{displaystylefrac{partialt_a(q_a)}{partialq_a}>0{{df{{z(vecq){strictlyconvex.}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="409" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img547.png"
 ALT="\begin{displaymath}
\hbox{$\forall a$: $\displaystyle \frac{\partial t_a(q_a)}{\partial q_a} &gt; 0$ $\df$ $z(\vec q)$ strictly
convex.}
\end{displaymath}">|; 

$key = q/(v_i)_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img331.png"
 ALT="$(v_i)_i$">|; 

$key = q/T_{0,a};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img198.png"
 ALT="$T_{0,a}$">|; 

$key = q/dfslashdt=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img749.png"
 ALT="$df/dt=0$">|; 

$key = q/gapge3v_{oncoming};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="123" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img824.png"
 ALT="$gap \ge 3 v_{oncoming}$">|; 

$key = q/{displaymath}var_c=Bigg((1slashN_c),sum_i(x_i-xi_i)^2Bigg)^{1slash2}hbox{~~~and~~~}sigma_c=var_c,slash,langlexirangle_c.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="504" HEIGHT="70" BORDER="0"
 SRC="|."$dir".q|img912.png"
 ALT="\begin{displaymath}
var_c = \Bigg( (1/N_c)   \sum_i (x_i - \xi_i)^2 \Bigg)^{1/2...
...{&nbsp;&nbsp;&nbsp;and&nbsp;&nbsp;&nbsp; }
\sigma_c = var_c   /   \langle\xi\rangle_c  .
\end{displaymath}">|; 

$key = q/{displaymath}e^{beta(U_i-U_{max})}stackrel{betatoinfty}{too}0{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="341" HEIGHT="54" BORDER="0"
 SRC="|."$dir".q|img102.png"
 ALT="\begin{displaymath}
e^{\beta (U_i - U_{max})}
\stackrel{\beta \to \infty}{\too} 0
\end{displaymath}">|; 

$key = q/includegraphics[width=0.53hsize]{tangent-back-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="284" HEIGHT="135" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img463.png"
 ALT="\includegraphics[width=0.53\hsize]{tangent-back-fig.eps}">|; 

$key = q/ell_islashv_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img345.png"
 ALT="$\ell_i/v_i$">|; 

$key = q/U_k=U_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="81" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img105.png"
 ALT="$U_k = U_{max}$">|; 

$key = q/q=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img476.png"
 ALT="$q=0$">|; 

$key = q/includegraphics[width=0.8hsize]{overlap-multi-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="446" HEIGHT="219" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img639.png"
 ALT="\includegraphics[width=0.8\hsize]{overlap-multi-gpl.eps}">|; 

$key = q/gap_bgev_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="90" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img794.png"
 ALT="$gap_b \ge v_{max}$">|; 

$key = q/t_c;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img239.png"
 ALT="$t_c$">|; 

$key = q/{displaymath}P_{n,X}=frac{e^{vecbetacdotvecx_X}}<comment_mark>4036{e^{vecbetacdotvecx_A}+e^{vecbetacdotvecx_B}}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="352" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img678.png"
 ALT="\begin{displaymath}
P_{n,X} = \frac{e^{\vec \beta \cdot \vec x_X}}%%
{e^{\vec \beta \cdot \vec x_A} + e^{\vec \beta \cdot \vec x_B}}
\end{displaymath}">|; 

$key = q/N_T;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img329.png"
 ALT="$N_T$">|; 

$key = q/+;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img923.png"
 ALT="$+$">|; 

$key = q/w_i=v_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img333.png"
 ALT="$w_i=v_i$">|; 

$key = q/v_{max}=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$v_{max}=3$">|; 

$key = q/nablaz,(vecq^*)equivvec0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img544.png"
 ALT="$\nabla z  
(\vec q^*) \equiv \vec 0$">|; 

$key = q/Phi(p);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img744.png"
 ALT="$\Phi(p)$">|; 

$key = q/k=180;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img813.png"
 ALT="$k=180$">|; 

$key = q/z(vecq^n);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img557.png"
 ALT="$z(\vec q^n)$">|; 

$key = q/(=sum_nBig(y_{n,A}-frac{1}{1+e^{-vecbetacdotvecxi_n}}Big),xi_{n,k}.);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="214" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img693.png"
 ALT="\(
= \sum_n \Big( y_{n,A} - \frac{1}{1+e^{-\vec\beta\cdot\vec\xi_n}} \Big)
  \xi_{n,k}  .
\)">|; 

$key = q/S;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img116.png"
 ALT="$S$">|; 

$key = q/T^*;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img892.png"
 ALT="$T^*$">|; 

$key = q/b_{nd};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img293.png"
 ALT="$b_{nd}$">|; 

$key = q/includegraphics[width=0.7hsize]{gzslashsumtt-by-iteration.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="385" HEIGHT="255" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img711.png"
 ALT="\includegraphics[width=0.7\hsize]{gz/sumtt-by-iteration.eps.gz}">|; 

$key = q/(a,b,epsilon);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img426.png"
 ALT="$(a,b,\epsilon)$">|; 

$key = q/S_{bnd};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img292.png"
 ALT="$S_{bnd}$">|; 

$key = q/weight2=v(i)-gap_o(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="176" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img784.png"
 ALT="$weight2 = v(i) - gap_o(i)$">|; 

$key = q/g;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img355.png"
 ALT="$g$">|; 

$key = q/{displaymath}T(p)sim{1overp}+1+{1oversqrt{p}}+sqrt{p}tosqrt{p};{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="393" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img298.png"
 ALT="\begin{displaymath}
T(p) \sim {1 \over p} + 1 + {1 \over \sqrt{p}} + \sqrt{p}
\to \sqrt{p}  ;
\end{displaymath}">|; 

$key = q/includegraphics[width=0.8hsize]{overlap-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="446" HEIGHT="219" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img589.png"
 ALT="\includegraphics[width=0.8\hsize]{overlap-gpl.eps}">|; 

$key = q/rho_{jam}=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img756.png"
 ALT="$\rho_{jam} =$">|; 

$key = q/T_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img270.png"
 ALT="$T_1$">|; 

$key = q/10^4times10^3=10^7;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="114" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img69.png"
 ALT="$10^4 \times 10^3 = 10^7$">|; 

$key = q/includegraphics[width=hsize]{ttdis_relaxed-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="554" HEIGHT="266" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img909.png"
 ALT="\includegraphics[width=\hsize]{ttdis_relaxed-gpl.eps}">|; 

$key = q/gap>v_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="84" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="$gap &gt; v_{max}$">|; 

$key = q/{displaymath}X_{n+k}=X_n{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="318" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img740.png"
 ALT="\begin{displaymath}
X_{n+k} = X_n
\end{displaymath}">|; 

$key = q/includegraphics[width=0.5textwidth]{secant-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="270" HEIGHT="144" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img471.png"
 ALT="\includegraphics[width=0.5\textwidth]{secant-fig.eps}">|; 

$key = q/includegraphics[width=0.8hsize]{gzslashsynchronized_time.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="435" HEIGHT="305" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img349.png"
 ALT="\includegraphics[width=0.8\hsize]{gz/synchronized_time.eps.gz}">|; 

$key = q/{displaymath}N_{wp}(T):=langleN_{wp}(i,T)rangle_i:=(1slashN),sum_iN_{wp}(i,T),{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="445" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img886.png"
 ALT="\begin{displaymath}
N_{wp}(T) := \langle N_{wp}(i,T) \rangle_i
:= (1/N)   \sum_i N_{wp}(i,T)  ,
\end{displaymath}">|; 

$key = q/{displaymath}S(p):={T(1)overT(p)},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="327" HEIGHT="58" BORDER="0"
 SRC="|."$dir".q|img316.png"
 ALT="\begin{displaymath}
S(p) := {T(1) \over T(p)}  ,
\end{displaymath}">|; 

$key = q/hletau;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img424.png"
 ALT="$h \le \tau$">|; 

$key = q/{displaymath}p_i:=pi_islashPi.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="319" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img124.png"
 ALT="\begin{displaymath}
p_i := \pi_i / \Pi  .
\end{displaymath}">|; 

$key = q/80%;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="$80\%$">|; 

$key = q/displaystylex_t+h,v_{t+h}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="89" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img411.png"
 ALT="$\displaystyle x_t + h   v_{t+h} .$">|; 

$key = q/{displaymath}z(vecq^n)+vecycdotnablaz,(vecq^n).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="348" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img556.png"
 ALT="\begin{displaymath}
z(\vec q^n) + \vec y \cdot \nabla z   (\vec q^n)  .
\end{displaymath}">|; 

$key = q/{displaymath}p_*=Phi(p_*).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="320" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img742.png"
 ALT="\begin{displaymath}
p_* = \Phi(p_*)  .
\end{displaymath}">|; 

$key = q/weight3=v_{max}-gap_b(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="183" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img785.png"
 ALT="$weight3 = v_{max} - gap_b(i)$">|; 

$key = q/includegraphics[width=0.45hsize]{gzslashgap-gt-v.eps.gz};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img848.png"
 ALT="\includegraphics[width=0.45\hsize]{gz/gap-gt-v.eps.gz}">|; 

$key = q/{displaymath}sum_Tf_{ch}(T)=1.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="330" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img890.png"
 ALT="\begin{displaymath}
\sum_T f_{ch}(T) = 1  .
\end{displaymath}">|; 

$key = q/t_0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img196.png"
 ALT="$t_0$">|; 

$key = q/vecq=(q_1,q_2,...);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="103" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img517.png"
 ALT="$\vec q = (q_1, q_2, ...)$">|; 

$key = q/{displaymath}f(t)=f_0,e^{-t},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="325" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img751.png"
 ALT="\begin{displaymath}
f(t) = f_0   e^{-t}  ,
\end{displaymath}">|; 

$key = q/weight4>v_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="115" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img802.png"
 ALT="$weight4 &gt; v_{max}$">|; 

$key = q/b_{net}=100;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img277.png"
 ALT="$b_{net} = 100$">|; 

$key = q/U_{trip}(T_{trip});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img74.png"
 ALT="$U_{trip}(T_{trip})$">|; 

$key = q/nablaz(vecq)equivvec0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img545.png"
 ALT="$\nabla z(\vec q) \equiv \vec 0$">|; 

$key = q/q=rho,v;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img338.png"
 ALT="$q = \rho   v$">|; 

1;

