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


$key = q/sim12;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="$\sim
12$">|; 

$key = q/x;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img47.png"
 ALT="$x$">|; 

$key = q/sim100;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$\sim 100$">|; 

$key = q/{{148k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="$\$148 k$">|; 

$key = q/L;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="$L$">|; 

$key = q/{displaymath}T_{lt}=N_{nb}{{,t_{lt}{{,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="322" HEIGHT="27" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="\begin{displaymath}
T_{lt} = N_{nb}   t_{lt}  
\end{displaymath}">|; 

$key = q/N_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img57.png"
 ALT="$N_{max}$">|; 

$key = q/{displaymath}Q(x{{!-{{!frac{1}{2},t)=max[v_f{{,N(x{{!-{{!1,t),c{{,big(N_{max}-N(x,t)big),Q_{max}]{{,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="482" HEIGHT="38" BORDER="0"
 SRC="|."$dir".q|img53.png"
 ALT="\begin{displaymath}
Q(x\!-\!\frac{1}{2},t) = \max[ v_f   N(x\!-\!1,t),
c   \big(N_{max} - N(x,t)\big), Q_{max} ]  
\end{displaymath}">|; 

$key = q/v_{0};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$v_{0}$">|; 

$key = q/ell=7.5~hbox{m};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="$\ell = 7.5&nbsp;\hbox{m}$">|; 

$key = q/{{20k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="$\$20 k$">|; 

$key = q/t;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img48.png"
 ALT="$t$">|; 

$key = q/C;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$C$">|; 

$key = q/x{{!-{{!1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img50.png"
 ALT="$x\!-\!1$">|; 

$key = q/T_{cmm};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="$T_{cmm}$">|; 

$key = q/sim20{{,000;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$\sim 20 000$">|; 

$key = q/a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$a$">|; 

$key = q/f;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$f$">|; 

$key = q/N(x,t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="$N(x,t)$">|; 

$key = q/p;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$p$">|; 

$key = q/v_f;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img56.png"
 ALT="$v_f$">|; 

$key = q/T_0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$T_0$">|; 

$key = q/N_{nb};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.png"
 ALT="$N_{nb}$">|; 

$key = q/ptoinfty;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="$p \to \infty$">|; 

$key = q/{displaymath}N<C~~hbox{or}~~Big(N=C~~hbox{and}~~rnd<fBig){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="399" HEIGHT="34" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="\begin{displaymath}
N &lt; C &nbsp;&nbsp;\hbox{or}&nbsp;&nbsp;\Big(N = C &nbsp;&nbsp;\hbox{and}&nbsp;&nbsp; rnd &lt; f \Big)
\end{displaymath}">|; 

$key = q/T_{cmp};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$T_{cmp}$">|; 

$key = q/N;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$N$">|; 

$key = q/ell;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$\ell$">|; 

$key = q/10^5times10^7slash10^5=10^7hbox{seconds}approx100hbox{days};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="280" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$10^5 \times 10^7 / 10^5 = 10^7\hbox{ seconds} \approx
100\hbox{ days}$">|; 

$key = q/{displaymath}N(x,t{{!+{{!1)=N(x,t)+Q(x{{!-{{!frac{1}{2},t)-Q(x{{!+{{!frac{1}{2},t)+g(x,t){{,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="472" HEIGHT="38" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="\begin{displaymath}
N(x,t\!+\!1) = N(x,t) + Q(x\!-\!\frac{1}{2},t) - Q(x\!+\!\frac{1}{2},t) + g(x,t)  
\end{displaymath}">|; 

$key = q/Q_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img54.png"
 ALT="$Q_{max}$">|; 

$key = q/6~ms;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="$6&nbsp;ms$">|; 

$key = q/32times{{4.5k={{144k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="140" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="$32 \times \$4.5 k = \$144 k$">|; 

$key = q/10^5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$10^5$">|; 

$key = q/{{(N_{sites}={Lcdotn_{lanes}}slashell{{);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="146" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="\( N_{sites} = {L
\cdot n_{lanes}}/ \ell\)">|; 

$key = q/t_{lt};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="$t_{lt}$">|; 

$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="394" HEIGHT="29" BORDER="0"
 SRC="|."$dir".q|img37.png"
 ALT="\begin{displaymath}
N_{nb}(p) = 2   (3 \sqrt{p} - 1)   (\sqrt{p} - 1) / p  
\end{displaymath}">|; 

$key = q/0leqrndleq1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="90" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$0\leq rnd \leq 1$">|; 

$key = q/{algorithmic}{small{FOR{alllinks}WHILE{vehiclehasarrivedatendoflink{{{{ANDvehiclaceondestinationlink}STATE{movevehicletonextlink}ENDWHILEENDFOR{algorithmic};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="300" HEIGHT="116" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="\begin{algorithmic}\small\FOR{all links}
\WHILE{vehicle has arrived at end of li...
...tion link}
\STATE{move vehicle to next link}
\ENDWHILE
\ENDFOR
\end{algorithmic}">|; 

$key = q/{displaymath}T_{cmp}(p)approx{T_{cmp}(1)overp},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="349" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="\begin{displaymath}
T_{cmp}(p) \approx {T_{cmp}(1) \over p} ,
\end{displaymath}">|; 

$key = q/T;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="$T$">|; 

$key = q/{algorithmic}{small{STATE{AccordingtoAlg.~B,propagatevehiclesalonglinks.}FOR{allndofthelink.}STATE{placethesevehiclesintothelocalqueues.}ENDFOR{algorithmic};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="457" HEIGHT="256" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="\begin{algorithmic}\small \STATE{According to Alg.&nbsp;B, propagate vehicles along l...
...
\STATE {place these vehicles into the local queues.}
\ENDFOR
\end{algorithmic}">|; 

$key = q/{algorithmic}%latex2htmlidmarker213{small{STATE{slashslashPropagatevehiclesalongevehiclefrombuffertodestinationlink}ENDIFENDWHILEENDWHILEENDFOR{algorithmic};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="353" HEIGHT="361" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="\begin{algorithmic}
% latex2html id marker 213\small \STATE{// Propagate vehi...
...er to destination link}
\ENDIF
\ENDWHILE
\ENDWHILE
\ENDFOR
\end{algorithmic}">|; 

$key = q/t_0+T_0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$t_0 + T_0$">|; 

$key = q/n_{lanes};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$n_{lanes}$">|; 

$key = q/1000slash6=167;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="99" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="$1000/6=167$">|; 

$key = q/Q(x,t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img52.png"
 ALT="$Q(x,t)$">|; 

$key = q/{{(T_{0}={Lslashv_{0}}{{);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="\( T_{0}={L / v_{0}}\)">|; 

$key = q/p=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="$p=1$">|; 

$key = q/c;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img55.png"
 ALT="$c$">|; 

$key = q/{displaymath}T(p)=T_{cmp}(p)+T_{cmm}(p),{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="376" HEIGHT="29" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="\begin{displaymath}
T(p) = T_{cmp}(p) + T_{cmm}(p) ,
\end{displaymath}">|; 

$key = q/64times{{2k={{128k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="128" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="$64 \times \$2 k = \$128 k$">|; 

$key = q/lceilC_{link}rceil;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="$\lceil C_{link} \rceil$">|; 

$key = q/rnd;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$rnd$">|; 

$key = q/g(x,t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img51.png"
 ALT="$g(x,t)$">|; 

$key = q/Q(x);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img58.png"
 ALT="$Q(x)$">|; 

$key = q/t_0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="$t_0$">|; 

$key = q/Q(x{{!-{{!frac{1}{2},t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img49.png"
 ALT="$Q(x\!-\!\frac{1}{2},t)$">|; 

1;

