# LaTeX2HTML 2K.1beta (1.47)
# Associate images original text with physical files.


$key = q/v_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="$v_{max}$">|; 

$key = q/t_2=t_1+L_aslashV_a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="$t_2 = t_1 + L_a/V_a$">|; 

$key = q/Deltatto0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img47.png"
 ALT="$\Delta t \to 0$">|; 

$key = q/v(t+1)=max[v'-1,0];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="175" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="$v(t+1) = \max[v'-1,0]$">|; 

$key = q/includegraphics[width=0.8hsize]{ch-8am-0it-tif.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="314" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img65.png"
 ALT="\includegraphics[width=0.8\hsize]{ch-8am-0it-tif.eps}">|; 

$key = q/gap(t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="$gap(t)$">|; 

$key = q/includegraphics[width=0.8hsize]{turn-gz.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="444" HEIGHT="247" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="\includegraphics[width=0.8\hsize]{turn-gz.eps}">|; 

$key = q/ij,k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$ij,k$">|; 

$key = q/M;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img60.png"
 ALT="$M$">|; 

$key = q/Deltat;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img48.png"
 ALT="$\Delta t$">|; 

$key = q/delta_{ij,k,a};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$\delta_{ij,k,a}$">|; 

$key = q/sim10^5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img66.png"
 ALT="$\sim 10^5$">|; 

$key = q/a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$a$">|; 

$key = q/v'=min[v(t)+1,gap(t),v_{max}];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="220" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img37.png"
 ALT="$v' = \min[v(t)+1,gap(t),v_{max}]$">|; 

$key = q/k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$k$">|; 

$key = q/includegraphics[width=0.49hsize]{yield2-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="262" HEIGHT="220" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img55.png"
 ALT="\includegraphics[width=0.49\hsize]{yield2-gpl.eps}">|; 

$key = q/{displaymath}sum_kr_{ij,k}=r_{ij}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="326" HEIGHT="45" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="\begin{displaymath}
\sum_k r_{ij,k} = r_{ij}
\end{displaymath}">|; 

$key = q/includegraphics[width=0.8hsize]{mapping-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="204" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img63.png"
 ALT="\includegraphics[width=0.8\hsize]{mapping-fig.eps}">|; 

$key = q/includegraphics[width=0.8hsize,height=0.3textheight]{jam-tif.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="432" HEIGHT="296" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img56.png"
 ALT="\includegraphics[width=0.8\hsize,height=0.3\textheight]{jam-tif.eps}">|; 

$key = q/t_a(x_a)=infty;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="86" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="$t_a(x_a) = \infty$">|; 

$key = q/{}^a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="${}^a$">|; 

$key = q/p_{noise};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="$p_{noise}$">|; 

$key = q/r_{ij};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$r_{ij}$">|; 

$key = q/{displaymath}x_a=sum_{ij}sum_kr_{ij,k},delta_{ij,k,a}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="364" HEIGHT="47" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="\begin{displaymath}
x_a = \sum_{ij} \sum_k r_{ij,k}   \delta_{ij,k,a}  .
\end{displaymath}">|; 

$key = q/{displaymath}T_{ij,k}=sum_at_a(x_a),delta_{ij,k,a}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="366" HEIGHT="44" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="\begin{displaymath}
T_{ij,k} = \sum_a t_a(x_a)   \delta_{ij,k,a}  .
\end{displaymath}">|; 

$key = q/c_a(x_a);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img64.png"
 ALT="$c_a(x_a)$">|; 

$key = q/gap;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="$gap$">|; 

$key = q/V_a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="$V_a$">|; 

$key = q/7.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="$7.5$">|; 

$key = q/C_a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$C_a$">|; 

$key = q/includegraphics[width=0.8hsize]{assign2queue-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="444" HEIGHT="176" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="\includegraphics[width=0.8\hsize]{assign2queue-fig.eps}">|; 

$key = q/v(t+1)=v';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="$v(t+1) = v'$">|; 

$key = q/10^7;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img67.png"
 ALT="$10^7$">|; 

$key = q/includegraphics[width=0.8hsize]{transims-bubbles-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="444" HEIGHT="156" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="\includegraphics[width=0.8\hsize]{transims-bubbles-fig.eps}">|; 

$key = q/=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$=$">|; 

$key = q/includegraphics[width=0.8hsize]{sanduhr-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="114" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="\includegraphics[width=0.8\hsize]{sanduhr-fig.eps}">|; 

$key = q/includegraphics[width=0.8hsize]{prtlnd-9am-tif.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="438" HEIGHT="348" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img33.png"
 ALT="\includegraphics[width=0.8\hsize]{prtlnd-9am-tif.eps}">|; 

$key = q/t_1(x_1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$t_1(x_1)$">|; 

$key = q/M,logN;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img59.png"
 ALT="$M   \log N$">|; 

$key = q/q=rho,(1-rho);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img50.png"
 ALT="$q = \rho   (1-\rho)$">|; 

$key = q/t_a(x_a);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$t_a(x_a)$">|; 

$key = q/t_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="$t_1$">|; 

$key = q/includegraphics[angle=-90,width=0.8hsize]{5actshusband-gz.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="468" HEIGHT="11" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img62.png"
 ALT="\includegraphics[angle=-90,width=0.8\hsize]{5actshusband-gz.eps}">|; 

$key = q/j;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$j$">|; 

$key = q/{displaymath}frac{10^5times10^7times10^2}{10^9}=10^5{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="358" HEIGHT="41" BORDER="0"
 SRC="|."$dir".q|img70.png"
 ALT="\begin{displaymath}
\frac{10^5 \times 10^7 \times 10^2}{10^9} = 10^5
\end{displaymath}">|; 

$key = q/v(t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="$v(t)$">|; 

$key = q/10^9;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img68.png"
 ALT="$10^9$">|; 

$key = q/r_{ij,k};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$r_{ij,k}$">|; 

$key = q/v';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="$v'$">|; 

$key = q/includegraphics[width=0.6hsize]{queue-problem-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="332" HEIGHT="190" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="\includegraphics[width=0.6\hsize]{queue-problem-fig.eps}">|; 

$key = q/N;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img61.png"
 ALT="$N$">|; 

$key = q/t=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$t=0$">|; 

$key = q/U=R(I),I;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="84" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$U = R(I)   I$">|; 

$key = q/includegraphics[width=0.49hsize]{free1-gpl.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="259" HEIGHT="220" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img54.png"
 ALT="\includegraphics[width=0.49\hsize]{free1-gpl.eps}">|; 

$key = q/L_a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="$L_a$">|; 

$key = q/t_2(x_2);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="$t_2(x_2)$">|; 

$key = q/q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img52.png"
 ALT="$q$">|; 

$key = q/{displaymath}partial_trho+partial_xrho-2rhopartial_xrho=D,partial_x^2rho,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="379" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img49.png"
 ALT="\begin{displaymath}
\partial_t \rho + \partial_x \rho - 2 \rho \partial_x \rho
= D   \partial_x^2 \rho  ,
\end{displaymath}">|; 

$key = q/includegraphics[width=0.8hsize]{connectivities-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="253" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img57.png"
 ALT="\includegraphics[width=0.8\hsize]{connectivities-fig.eps}">|; 

$key = q/1~hbox{sec}slash6~hbox{msec}approx167;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="136" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img71.png"
 ALT="$1&nbsp;\hbox{sec}/6&nbsp;\hbox{msec} \approx 167$">|; 

$key = q/=37.5hbox{metersslashsecond}=135hbox{kmslashh}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="236" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="$
= 37.5\hbox{ meters/second}
= 135\hbox{ km/h}  .
$">|; 

$key = q/tge0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$t \ge 0$">|; 

$key = q/t<0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$t &lt;0$">|; 

$key = q/rho;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img51.png"
 ALT="$\rho$">|; 

$key = q/x_a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$x_a$">|; 

$key = q/v=1-rho;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img53.png"
 ALT="$v = 1 - \rho$">|; 

$key = q/100;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img69.png"
 ALT="$100$">|; 

$key = q/r_{ij,k}ge0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="$r_{ij,k} \ge 0$">|; 

$key = q/t_0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img58.png"
 ALT="$t_0$">|; 

$key = q/i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$i$">|; 

$key = q/{displaymath}5hbox{cellsslashtime-step}times7.5hbox{metersslashcell}times1hbox{secondslashtime-step}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="458" HEIGHT="27" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="\begin{displaymath}
5 \hbox{ cells/time-step} \times 7.5 \hbox{ meters/cell}
\times 1\hbox{ second/time-step}
\end{displaymath}">|; 

1;

