# 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="38" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$v_{max}$">|; 

$key = q/=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img52.png"
 ALT="$=$">|; 

$key = q/rho_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="$\rho_2$">|; 

$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="|."$dir".q|img33.png"
 ALT="$v := \min\{ v, g \}$">|; 

$key = q/includegraphics[width=0.6hsize]{184tty-fig.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="323" HEIGHT="176" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="\includegraphics[width=0.6\hsize]{184tty-fig.eps}">|; 

$key = q/{displaymath}letgreen=blacktabular{{|l|l|}hlineCarfollowing:&{v_{t+1}=min{g,v_t+max}}{hlineMovement:&{x_{t+1}=x_t+v_{t+1}{hlinetabular{{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="294" HEIGHT="47" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="\begin{displaymath}
\let\green=\black
\begin{tabular}{\vert l\vert l\vert}
\hlin...
...Movement: &amp; $x_{t+1} = x_t + v_{t+1}$ \\\\
\hline
\end{tabular}\end{displaymath}">|; 

$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="|."$dir".q|img37.png"
 ALT="$(p_{ac},p_{dc},\tau_H) = (0.9,0.9,1.1)$">|; 

$key = q/p_{ac};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="$p_{ac}$">|; 

$key = q/v:=v+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="74" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="$v := v+1$">|; 

$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="|."$dir".q|img13.png"
 ALT="$q = \rho   v_{max}$">|; 

$key = q/ntimesv;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="$n \times v$">|; 

$key = q/t;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$t$">|; 

$key = q/g_o;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="$g_o$">|; 

$key = q/rho<rho_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="$\rho &lt; \rho_1$">|; 

$key = q/t+frac{1}{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$t+\frac{1}{2}$">|; 

$key = q/{lstlisting}{}speed=int(Road[ii]->Speed);Road[ii+speed]=Road[ii];Road[ii]=NULL;{lstlisting};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="253" HEIGHT="42" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img51.png"
 ALT="\begin{lstlisting}{}
speed = int(Road[ii]-&gt;Speed) ;
Road[ii+speed] = Road[ii] ;
Road[ii] = NULL ;
\end{lstlisting}">|; 

$key = q/v:=min{v+1,v_{max}};;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="166" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="$
v := \min\{ v+1, v_{max} \}  ;
$">|; 

$key = q/q=rho,v=1-rho.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="118" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="$
q = \rho   v = 1 - \rho  .
$">|; 

$key = q/rho_L;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="$\rho_L$">|; 

$key = q/g>vcdottau_H;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="$g &gt; v \cdot \tau_H$">|; 

$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="|."$dir".q|img24.png"
 ALT="$p_{noise}=0.5$">|; 

$key = q/p_{dc};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="$p_{dc}$">|; 

$key = q/ell=1slashrho_{jam}approx7.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="122" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$\ell = 1/\rho_{jam} \approx 7.5$">|; 

$key = q/g>ntimesv;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="$g &gt; n \times v$">|; 

$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="|."$dir".q|img14.png"
 ALT="$\sum v_i = \sum g_i = N_{veh} \times \left\langle g\right\rangle $">|; 

$key = q/ell;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$\ell$">|; 

$key = q/g;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$g$">|; 

$key = q/p_n(v!=!0)>p_n(v!ge!1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="148" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="$p_n(v\!=\!0) &gt; p_n(v\!\ge\!1)$">|; 

$key = q/ggentimesv;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="$g \ge n \times v$">|; 

$key = q/v:=max{v-1,0}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="143" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="$
v := \max\{ v-1, 0 \}  .
$">|; 

$key = q/rho_c=1slash(v_{max}+1)hbox{and}q_c=v_{max}slash(v_{max}+1);;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="319" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$
\rho_c = 1 / (v_{max}+1) \hbox{ and } q_c = v_{max} / (v_{max}+1)  ;
$">|; 

$key = q/{lstlisting}{}Road[ii]=newveh;slashslashmemoryallocationforvehicleRoad[ii]->ID=SomeID;Road[ii]->Speed=0.;{lstlisting};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="453" HEIGHT="44" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img50.png"
 ALT="\begin{lstlisting}{}
Road[ii] = new veh ; // memory allocation for vehicle
Road[ii]-&gt;ID = SomeID ;
Road[ii]-&gt;Speed = 0. ;
\end{lstlisting}">|; 

$key = q/v;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$v$">|; 

$key = q/p_n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$p_n$">|; 

$key = q/g<vcdottau_H;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="$g &lt; v \cdot \tau_H$">|; 

$key = q/p_{noise};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img48.png"
 ALT="$p_{noise}$">|; 

$key = q/g>3,v;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$g &gt; 3   v$">|; 

$key = q/glevhbox{.AND.}g_o>g,;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="145" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="$
g \le v
\hbox{ .AND. }
g_o &gt; g  ,
$">|; 

$key = q/g_ogevhbox{.AND.}g_{b,o}>v_{b,o},;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="177" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="$
g_o \ge v
\hbox{ .AND. }
g_{b,o} &gt; v_{b,o}  ,
$">|; 

$key = q/1slashf;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img54.png"
 ALT="$1/f$">|; 

$key = q/v_{max}>1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img47.png"
 ALT="$v_{max} &gt; 1$">|; 

$key = q/includegraphics[width=hsize]{ch-8am-tifgz.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="556" HEIGHT="382" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img53.png"
 ALT="\includegraphics[width=\hsize]{ch-8am-tifgz.eps}">|; 

$key = q/t+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$t+1$">|; 

$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=hsize]{fdiag-1lane-gz.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="558" HEIGHT="448" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="\includegraphics[width=\hsize]{fdiag-1lane-gz.eps}">|; 

$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="|."$dir".q|img15.png"
 ALT="$\rho = 1/(\left\langle g\right\rangle +1)$">|; 

$key = q/{}_{b,o};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="${}_{b,o}$">|; 

$key = q/{lstlisting}{}classveh{intID;doubleSpeed;...};veh*Road[200];slashslashmemoryallocationfor200pointers{lstlisting};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="461" HEIGHT="92" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img49.png"
 ALT="\begin{lstlisting}{}
class veh {
int ID ;
double Speed ;
...
};
veh* Road[200]; // memory allocation for 200 pointers
\end{lstlisting}">|; 

$key = q/v=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="$v=0$">|; 

$key = q/v=5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$v=5$">|; 

$key = q/gge3,v;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$g \ge 3   v$">|; 

$key = q/v_{max}=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$v_{max}=1$">|; 

$key = q/{displaymath}letgreen=blacktabular{[c]{|l|l|}hline{Carfollowing:}&{v_{t+frac{1}{cr}{hline{Moving:}&{x_{t+1}=x_{t}+v_{t+1}{hlinetabular{{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="444" HEIGHT="97" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="\begin{displaymath}\let\green=\black
\begin{tabular}[c]{\vert l\vert l\vert}
\hl...
...ving:} &amp;
$x_{t+1} = x_{t} + v_{t+1} $ \\\\
\hline
\end{tabular}\end{displaymath}">|; 

$key = q/n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="$n$">|; 

1;

