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           "], {{0, 0}, {1, 1}}]}, {
         ImageSize -> 250, ContentSelectable -> False, AspectRatio -> 
          Rational[1, 8], PlotRange -> {{0, 1}, {0, 1}}}]}}}, 
    Typeset`size$$ = {600., {306.5, 311.5}}, Typeset`update$$ = 0, 
    Typeset`initDone$$, Typeset`skipInitDone$$ = 
    False, $CellContext`ddt$41360$$ = 0, $CellContext`T$41361$$ = 
    0, $CellContext`L$41362$$ = 0, $CellContext`B$41363$$ = 
    0, $CellContext`b$41364$$ = 0, $CellContext`f$41365$$ = 
    0, $CellContext`q0$41366$$ = 0, $CellContext`t0$41367$$ = 
    0, $CellContext`cteInflow$41368$$ = False, $CellContext`calc$41369$$ = 
    False, $CellContext`Traj$41370$$ = False, $CellContext`clr$41371$$ = 
    False}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     1, StandardForm, 
      "Variables" :> {$CellContext`b$$ = 1, $CellContext`B$$ = 
        0.2, $CellContext`calc$$ = True, $CellContext`clr$$ = 
        "DarkBands", $CellContext`cteInflow$$ = False, $CellContext`ddt$$ = 
        17, $CellContext`f$$ = 1.1, $CellContext`L$$ = 
        10, $CellContext`p$$ = {
         30 $CellContext`T$$, 
          Rational[1, 2] $CellContext`L$$}, $CellContext`q0$$ = 
        0.8, $CellContext`T$$ = 0.3, $CellContext`t0$$ = 
        1, $CellContext`Traj$$ = False}, "ControllerVariables" :> {
        Hold[$CellContext`ddt$$, $CellContext`ddt$41360$$, 0], 
        Hold[$CellContext`T$$, $CellContext`T$41361$$, 0], 
        Hold[$CellContext`L$$, $CellContext`L$41362$$, 0], 
        Hold[$CellContext`B$$, $CellContext`B$41363$$, 0], 
        Hold[$CellContext`b$$, $CellContext`b$41364$$, 0], 
        Hold[$CellContext`f$$, $CellContext`f$41365$$, 0], 
        Hold[$CellContext`q0$$, $CellContext`q0$41366$$, 0], 
        Hold[$CellContext`t0$$, $CellContext`t0$41367$$, 0], 
        Hold[$CellContext`cteInflow$$, $CellContext`cteInflow$41368$$, False],
         
        Hold[$CellContext`calc$$, $CellContext`calc$41369$$, False], 
        Hold[$CellContext`Traj$$, $CellContext`Traj$41370$$, False], 
        Hold[$CellContext`clr$$, $CellContext`clr$41371$$, False]}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, 
      "Body" :> (
       If[$CellContext`calc$$, $CellContext`bb = $CellContext`b$$ \
$CellContext`Qmax; $CellContext`\[Lambda] = ($CellContext`Qmax \
$CellContext`f$$) $CellContext`B$$; $CellContext`dt = $CellContext`ddt$$/
           3600; $CellContext`dx = $CellContext`dt $CellContext`u; \
$CellContext`iL = Round[$CellContext`L$$/$CellContext`dx]; $CellContext`iT = 
          Round[$CellContext`T$$/$CellContext`dt]; $CellContext`k0 = 
          Table[$CellContext`q0$$ ($CellContext`Qmax/$CellContext`u), \
{$CellContext`i, 1, $CellContext`iL}]; 
         Part[$CellContext`k0, 
            1] = $CellContext`q0$$ ($CellContext`Qmax/$CellContext`u); 
         Part[$CellContext`k0, $CellContext`iL] = $CellContext`Kc; \
$CellContext`k = $CellContext`k0; $CellContext`sal = {$CellContext`k0}; 
         For[$CellContext`j = 1, $CellContext`j < $CellContext`iT, 
           Increment[$CellContext`j], 
           For[$CellContext`i = 2, $CellContext`i < $CellContext`iL, 
             
             Increment[$CellContext`i], $CellContext`Qout = 
              If[$CellContext`i < $CellContext`iL - 1, 
                $CellContext`Q[
                 Part[$CellContext`k0, $CellContext`i], 
                 Part[$CellContext`k0, $CellContext`i + 1]], 
                Min[$CellContext`bb, 
                 $CellContext`Dem[
                  
                  Part[$CellContext`k0, $CellContext`iL - 
                   1]]]]; $CellContext`Qin = $CellContext`Q[
                Part[$CellContext`k0, $CellContext`i - 1], 
                Part[$CellContext`k0, $CellContext`i]]; 
             If[$CellContext`cteInflow$$, $CellContext`Qsrc = ($CellContext`\
\[Lambda] - $CellContext`B$$ $CellContext`Qin) $CellContext`dx, \
$CellContext`fi = Min[1, $CellContext`Sup[
                    
                    Part[$CellContext`k0, $CellContext`i + 
                    1]]/$CellContext`Dem[
                   
                   Part[$CellContext`k0, $CellContext`i]]]; $CellContext`Qsrc = \
($CellContext`fi $CellContext`\[Lambda] - $CellContext`B$$ $CellContext`Qin) \
$CellContext`dx; Null]; 
             Part[$CellContext`k, $CellContext`i] = 
              Part[$CellContext`k0, $CellContext`i] + (
                 1/$CellContext`u) ($CellContext`Qin - $CellContext`Qout + \
$CellContext`Qsrc); 
             If[Part[$CellContext`k, $CellContext`i] > $CellContext`Kj, 
               Part[$CellContext`k, $CellContext`i] = $CellContext`Kj]; 
             Null]; $CellContext`k0 = $CellContext`k; $CellContext`sal = 
            Append[$CellContext`sal, $CellContext`k]; Null]; $CellContext`sal = 
          Drop[$CellContext`sal, 0, -1]; Decrement[$CellContext`iL]; 
         Null]; $CellContext`ip = 
        Ceiling[Part[$CellContext`p$$, 2]/$CellContext`dx]; $CellContext`jp = 
        Ceiling[(Part[$CellContext`p$$, 1]/$CellContext`dt)/
          60]; $CellContext`salT = 
        Transpose[$CellContext`sal]; $CellContext`g1 = ArrayPlot[
          Reverse[$CellContext`salT], ColorFunction -> 
          ColorData[$CellContext`clr$$], AspectRatio -> 1, 
          DataRange -> {{0, 60 $CellContext`T$$}, {0, $CellContext`L$$}}, 
          FrameTicks -> {Automatic, Automatic, None, None}, 
          FrameLabel -> {"SPACE, km", "TIME, min"}, LabelStyle -> 
          Directive[Medium]]; $CellContext`calc$$ = False; $CellContext`g2 = 
        Graphics[{
           Line[{{
              Part[$CellContext`p$$, 1], 0}, {
              Part[$CellContext`p$$, 1], $CellContext`L$$}}], 
           Line[{{0, 
              Part[$CellContext`p$$, 2]}, {60 $CellContext`T$$, 
              Part[$CellContext`p$$, 2]}}]}]; 
       If[$CellContext`Traj$$, $CellContext`ip3 = 
          1 + Round[
            Part[$CellContext`p$$, 
               2]/$CellContext`dx]; $CellContext`ix0 = $CellContext`ip; \
$CellContext`x0 = Part[$CellContext`p$$, 2]; $CellContext`jp3 = 
          1 + Round[(Part[$CellContext`p$$, 1]/$CellContext`dt)/
             60]; $CellContext`jt0 = $CellContext`jp3; $CellContext`traj = {{
             Part[$CellContext`p$$, 1], $CellContext`x0}}; While[
           
           And[$CellContext`ix0 < $CellContext`iL, $CellContext`jt0 <= \
$CellContext`iT], AddTo[$CellContext`x0, $CellContext`V[
               
               Part[$CellContext`sal, $CellContext`jt0, $CellContext`ix0 + 
                1]] $CellContext`dt]; $CellContext`ix0 = 
            Round[$CellContext`x0/$CellContext`dx]; 
           Increment[$CellContext`jt0]; $CellContext`traj = 
            Append[$CellContext`traj, {($CellContext`jt0 
                60) $CellContext`dt, $CellContext`x0}]; 
           Null]; $CellContext`g3 = Graphics[{Dashed, 
             Line[$CellContext`traj]}]; Column[{
            
            Show[$CellContext`g1, $CellContext`g2, $CellContext`g3, ImageSize -> 
             600], 
            Row[{"\[FilledCircle] =", 
              $CellContext`NN[$CellContext`p$$, 2], 
              ", k[\[FilledCircle]]= ", 
              $CellContext`NN[
               Part[
                Part[$CellContext`salT, $CellContext`ip], $CellContext`jp], 
               2]}]}], 
         Column[{
           Show[$CellContext`g1, $CellContext`g2, ImageSize -> 600], 
           Row[{"\[FilledCircle] =", 
             $CellContext`NN[$CellContext`p$$, 2], ", k[\[FilledCircle]]= ", 
             $CellContext`NN[
              Part[
               Part[$CellContext`salT, $CellContext`ip], $CellContext`jp], 
              2]}]}]]), 
      "Specifications" :> {{{$CellContext`p$$, {
          30 $CellContext`T$$, Rational[1, 2] $CellContext`L$$}}, Automatic, 
         ControlType -> Locator, Appearance -> "\[FilledCircle]"}, 
        Dynamic[
         ListPlot[{
           Part[$CellContext`sal, $CellContext`jp], 
           Table[
            If[$CellContext`i == $CellContext`ip, 
             Part[
              
              Part[$CellContext`sal, $CellContext`jp], $CellContext`ip], \
-10], {$CellContext`i, $CellContext`iL}]}, PlotRange -> {0, $CellContext`Kj}, 
          Joined -> {True, False}, 
          Filling -> {1 -> $CellContext`Kc, 2 -> Axis}, AxesOrigin -> {0, 0}, 
          InterpolationOrder -> 0, DataRange -> {0, $CellContext`L$$}, 
          AxesLabel -> {"x", 
            StringJoin["k(x) at t= ", 
             ToString[Round[10 Part[$CellContext`p$$, 1]]/10, StandardForm]]},
           PlotMarkers -> {{"", 0}, {"\[FilledCircle]", 8}}, ImageSize -> 
          250]], Delimiter, 
        Dynamic[
         ListPlot[{
           Part[$CellContext`salT, $CellContext`ip], 
           Table[
            If[$CellContext`i == $CellContext`jp, 
             Part[
              
              Part[$CellContext`salT, $CellContext`ip], $CellContext`jp], \
-10], {$CellContext`i, $CellContext`iT}]}, PlotRange -> {0, $CellContext`Kj}, 
          Joined -> {True, False}, 
          Filling -> {1 -> $CellContext`Kc, 2 -> Axis}, AxesOrigin -> {0, 0}, 
          InterpolationOrder -> 0, DataRange -> {0, 60 $CellContext`T$$}, 
          AxesLabel -> {"t", 
            StringJoin["k(t) at x= ", 
             ToString[Round[10 Part[$CellContext`p$$, 2]]/10, StandardForm]]},
           PlotMarkers -> {{"", 0}, {"\[FilledCircle]", 8}}, ImageSize -> 
          250]], Delimiter, {{$CellContext`ddt$$, 17}, 1, 30, 1, Appearance -> 
         "Labeled"}, {{$CellContext`T$$, 0.3}, 0.1, 1, 0.1, Appearance -> 
         "Labeled"}, {{$CellContext`L$$, 10}, 1, 30, 1, Appearance -> 
         "Labeled"}, 
        Delimiter, {{$CellContext`B$$, 0.2}, 0, 0.5, 0.05, Appearance -> 
         "Labeled"}, {{$CellContext`b$$, 1}, 0.1, 1, 0.1, Appearance -> 
         "Labeled"}, {{$CellContext`f$$, 1.1}, 0, 2, 0.1, Appearance -> 
         "Labeled"}, {{$CellContext`q0$$, 0.8}, 0.1, 1, 0.1, Appearance -> 
         "Labeled"}, {{$CellContext`t0$$, 1}, 1, 
         Dynamic[($CellContext`T$$/$CellContext`ddt$$) 3600], Appearance -> 
         "Labeled"}, {{$CellContext`cteInflow$$, False, 
          "Constant ramp inflow"}, {
         True, False}}, {{$CellContext`calc$$, True, "update"}, {
         True, False}}, {{$CellContext`Traj$$, False, "trajectory"}, {
         True, False}}, {{$CellContext`clr$$, "DarkBands", 
          "Congested Density color scale"}, {"DarkRainbow" -> Graphics[{
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            ImageSize -> 250, ContentSelectable -> False, AspectRatio -> 
             Rational[1, 8], PlotRange -> {{0, 1}, {0, 1}}}], "Rainbow" -> 
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            ImageSize -> 250, ContentSelectable -> False, AspectRatio -> 
             Rational[1, 8], PlotRange -> {{0, 1}, {0, 1}}}]}}}, 
      "Options" :> {
       ControlPlacement -> {
         Left, Left, Left, Left, Left, Left, Left, Left, Left, Left, Left, 
          Top, Top, Top, Bottom}}, "DefaultOptions" :> {}],
     ImageSizeCache->{939., {388., 393.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    Initialization:>({{$CellContext`calc$$ = False, $CellContext`bb = 
         7500, $CellContext`Qmax = 7500, $CellContext`\[Lambda] = 
         1650.0000000000002`, $CellContext`dt = 17/3600, $CellContext`dx = 
         17/36, $CellContext`u = 100, $CellContext`iL = 20, $CellContext`iT = 
         64, $CellContext`k0 = {
          60., 62.125, 66.74676926558679, 87.24349750296162, 86.5824483695785,
            85.91406747824732, 85.23864227498025, 84.556098517184, 
           83.86636117979538, 83.16935444703437, 82.4650017040707, 
           81.75322552860212, 81.03394768234438, 80.30708910243106, 
           79.57256989272328, 78.83030931502724, 78.08022578021973, 
           77.32223683927968, 76.55625917422562, 75.78220858895705, 
           75}, $CellContext`i = 21, $CellContext`Kc = 
         75, $CellContext`k = {
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           81.75322552860212, 81.03394768234438, 80.30708910243106, 
           79.57256989272328, 78.83030931502724, 78.08022578021973, 
           77.32223683927968, 76.55625917422562, 75.78220858895705, 
           75}, $CellContext`sal = CompressedData["
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          "], $CellContext`j = 64, $CellContext`Qout = 7500, $CellContext`Q[
           Pattern[$CellContext`ku, 
            Blank[]], 
           Pattern[$CellContext`kd, 
            Blank[]]] := Min[
           $CellContext`Sup[$CellContext`kd], 
           $CellContext`Dem[$CellContext`ku]], $CellContext`Sup[
           Pattern[$CellContext`k, 
            Blank[]]] := 
         Min[$CellContext`Qmax, $CellContext`w ($CellContext`Kj - \
$CellContext`k)], $CellContext`w = 100, $CellContext`Kj = 
         150, $CellContext`Dem[
           Pattern[$CellContext`k, 
            Blank[]]] := 
         Min[$CellContext`Qmax, $CellContext`u $CellContext`k], \
$CellContext`Qin = 7421.779141104294, $CellContext`Qsrc = 
         78.22085889570572, $CellContext`fi = 1, $CellContext`ip = 
         11, $CellContext`jp = 32, $CellContext`salT = CompressedData["
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