求助--- 一个关于交通的问题!

阿乐

<H1 ><FONT face="Times New Roman">B</FONT>题：道路交通阻塞的问题<p></p></H1>
< ><FONT face="Times New Roman">2004</FONT>年<FONT face="Times New Roman">4</FONT>月<FONT face="Times New Roman">7</FONT>号，我们对某城市新扩建的<v:shapetype><FONT face="Times New Roman"> <v:stroke joinstyle="miter"></v:stroke><v:formulas><v:f eqn="if lineDrawn pixelLineWidth 0"></v:f><v:f eqn="sum @0 1 0"></v:f><v:f eqn="sum 0 0 @1"></v:f><v:f eqn="prod @2 1 2"></v:f><v:f eqn="prod @3 21600 pixelWidth"></v:f><v:f eqn="prod @3 21600 pixelHeight"></v:f><v:f eqn="sum @0 0 1"></v:f><v:f eqn="prod @6 1 2"></v:f><v:f eqn="prod @7 21600 pixelWidth"></v:f><v:f eqn="sum @8 21600 0"></v:f><v:f eqn="prod @7 21600 pixelHeight"></v:f><v:f eqn="sum @10 21600 0"></v:f></v:formulas><v:path gradientshapeok="t" connecttype="rect" extrusionok="f"></v:path><lock v:ext="edit" aspectratio="t"></lock></FONT></v:shapetype><v:shape><v:imagedata></v:imagedata></v:shape>大道中，<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>路和<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>路交叉口进行了调查，发现<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>路上的车流非常拥挤，经常会出现堵塞现象，有时会延伸到交叉口中央，严重的影响了<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>路的正常通行，具体数据见附表。请你就附表所给在交通高峰时间调查这些车流的数据，以及现行的交通调度方案的信息，利用数学建模方法提出、分析并探讨解决该十字路口交通拥阻问题：<p></p></P>
< ><FONT face="Times New Roman">1</FONT>）<FONT face="Times New Roman"> </FONT>分析交通堵塞的原因，提出治理方案。<p></p></P>
< ><FONT face="Times New Roman">2</FONT>）<FONT face="Times New Roman"> </FONT>对你的方案作计算机模拟，评价其效果。</P>
<P  align=center><B >附表</B><B ><p></p></B></P>
<P >某城市<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>路―<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>路交通状况统计调查<p></p></P>
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<P >北</P></DIV></TD></TR></TABLE></v:textbox></v:shape><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:line></v:line><v:shapetype><v:stroke joinstyle="miter"></v:stroke><v:path gradientshapeok="t" connecttype="rect"></v:path></v:shapetype><v:shape><v:textbox inset="0,0,0,0">
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<P ><FONT face="Times New Roman">1</FONT></P>
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<P ><FONT face="Times New Roman">2</FONT></P></DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0">
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<P ><FONT face="Times New Roman">3</FONT></P>
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<P ><FONT face="Times New Roman">4</FONT></P>
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<P ><FONT face="Times New Roman">5</FONT></P>
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<P ><FONT face="Times New Roman">6</FONT></P>
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<P ><FONT face="Times New Roman">7</FONT></P>
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<P ><FONT face="Times New Roman">8</FONT></P>
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<P ><FONT face="Times New Roman">9</FONT></P>
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<P ><FONT face="Times New Roman">10</FONT></P>
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<P ><p><FONT face="Times New Roman"> </FONT></p></P><BR  clear=all>
<P ><FONT face="Times New Roman">1) </FONT><v:shape><v:imagedata><FONT face="Times New Roman"></FONT></v:imagedata></v:shape>路是某市的交通主干道，<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>路是一条支路。显然，两条路的地位是不对等的。<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>路共有<FONT face="Times New Roman">8</FONT>条车道，按左<FONT face="Times New Roman">4</FONT>右<FONT face="Times New Roman">4</FONT>分配。<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>路只有<FONT face="Times New Roman">2</FONT>条车道，按左<FONT face="Times New Roman">1</FONT>右<FONT face="Times New Roman">1</FONT>分配。<p></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><FONT face="Times New Roman">       2) 1</FONT>个绿灯内各个入口车流平均统计结果如下：（表格）<p></p></P>
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<P  align=center>车道<p></p></P></TD>
<TD  vAlign=top width=284>
<P  align=center>车流量<p></p></P></TD></TR>
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<TD  vAlign=top width=284>
<P  align=center><FONT face="Times New Roman">1</FONT>，<FONT face="Times New Roman">2<p></p></FONT></P></TD>
<TD  vAlign=top width=284>
<P  align=center><FONT face="Times New Roman">18<p></p></FONT></P></TD></TR>
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<TD  vAlign=top width=284>
<P  align=center><FONT face="Times New Roman">3</FONT>，<FONT face="Times New Roman">10<p></p></FONT></P></TD>
<TD  vAlign=top width=284>
<P  align=center><FONT face="Times New Roman">8<p></p></FONT></P></TD></TR>
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<TD  vAlign=top width=284>
<P  align=center><FONT face="Times New Roman">6</FONT>，<FONT face="Times New Roman">7<p></p></FONT></P></TD>
<TD  vAlign=top width=284>
<P  align=center><FONT face="Times New Roman">9<p></p></FONT></P></TD></TR>
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<TD  vAlign=top width=284>
<P  align=center><FONT face="Times New Roman">4</FONT>，<FONT face="Times New Roman">5</FONT>，<FONT face="Times New Roman">8</FONT>，<FONT face="Times New Roman">9<p></p></FONT></P></TD>
<TD  vAlign=top width=284>
<P  align=center><FONT face="Times New Roman">46<p></p></FONT></P></TD></TR></TABLE>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><v:shape><v:imagedata><FONT face="Times New Roman"></FONT></v:imagedata></v:shape>路现行车道分配<p></p></P>
<P  align=center><p><FONT face="Times New Roman"> </FONT></p></P>
<DIV >
<P >&szlig;<FONT face="Times New Roman">          3<p></p></FONT></P></DIV>
<DIV >
<P >&szlig;<FONT face="Times New Roman">          4                     </FONT>交<p></p></P>
<P >&szlig;<FONT face="Times New Roman">          5<p></p></FONT></P></DIV>
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<P >&szlig;<FONT face="Times New Roman">          6                     </FONT>叉<p></p></P></DIV>
<DIV >
<P >à左转<FONT face="Times New Roman">  7<p></p></FONT></P>
<P >à直行<FONT face="Times New Roman">  8                     </FONT>口<p></p></P>
<P >à直行<FONT face="Times New Roman">  9<p></p></FONT></P>
<P >à右转<FONT face="Times New Roman">  10<p></p></FONT></P></DIV>
<P ><p><FONT face="Times New Roman" size=3> </FONT></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><FONT face="Times New Roman">       3) </FONT>现行色灯分配方案如下：<p></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><FONT face="Times New Roman">            x</FONT>相控制，各相时间分配（数据）<p></p></P>
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<P >状态<p></p></P></TD>
<TD  vAlign=top width=284>
<P >时间<FONT face="Times New Roman">(s)<p></p></FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=284>
<P >绿<p></p></P></TD>
<TD  vAlign=top width=284>
<P ><FONT face="Times New Roman">60<p></p></FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=284>
<P >黄<p></p></P></TD>
<TD  vAlign=top width=284>
<P ><FONT face="Times New Roman">3<p></p></FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=284>
<P >红<p></p></P></TD>
<TD  vAlign=top width=284>
<P ><FONT face="Times New Roman">84<p></p></FONT></P></TD></TR></TABLE>
<P  align=center>（<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>路红绿灯时间分配）<p></p></P>
<P  align=center><p><FONT face="Times New Roman"> </FONT></p></P>
<P  align=center><p><FONT face="Times New Roman"> </FONT></p></P>
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<TD  vAlign=top width=455 colSpan=4>
<P >状态（注：<FONT face="Times New Roman">6</FONT>、<FONT face="Times New Roman">5</FONT>、<FONT face="Times New Roman">4</FONT>、<FONT face="Times New Roman">3</FONT>与<FONT face="Times New Roman">7</FONT>、<FONT face="Times New Roman">8</FONT>、<FONT face="Times New Roman">9</FONT>、<FONT face="Times New Roman">10</FONT>分别对应相同）<p></p></P></TD>
<TD  vAlign=top width=114 rowSpan=2>
<P >时间<FONT face="Times New Roman">(s)<p></p></FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=114>
<P ><FONT face="Times New Roman">6</FONT>，<FONT face="Times New Roman">7<p></p></FONT></P></TD>
<TD  vAlign=top width=114>
<P ><FONT face="Times New Roman">5</FONT>，<FONT face="Times New Roman">8<p></p></FONT></P></TD>
<TD  vAlign=top width=114>
<P ><FONT face="Times New Roman">9</FONT>，<FONT face="Times New Roman">4<p></p></FONT></P></TD>
<TD  vAlign=top width=114>
<P ><FONT face="Times New Roman">10</FONT>，<FONT face="Times New Roman">3<p></p></FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=114>
<P >红<p></p></P></TD>
<TD  vAlign=top width=114>
<P >红<p></p></P></TD>
<TD  vAlign=top width=114>
<P >红<p></p></P></TD>
<TD  vAlign=top width=114>
<P >绿<p></p></P></TD>
<TD  vAlign=top width=114>
<P ><FONT face="Times New Roman">63<p></p></FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=114>
<P >绿<p></p></P></TD>
<TD  vAlign=top width=114>
<P >红<p></p></P></TD>
<TD  vAlign=top width=114>
<P >红<p></p></P></TD>
<TD  vAlign=top width=114>
<P >绿<p></p></P></TD>
<TD  vAlign=top width=114>
<P ><FONT face="Times New Roman">18<p></p></FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=114>
<P >红<p></p></P></TD>
<TD  vAlign=top width=114>
<P >黄<p></p></P></TD>
<TD  vAlign=top width=114>
<P >黄<p></p></P></TD>
<TD  vAlign=top width=114>
<P >绿<p></p></P></TD>
<TD  vAlign=top width=114>
<P ><FONT face="Times New Roman">3<p></p></FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=114>
<P >红<p></p></P></TD>
<TD  vAlign=top width=114>
<P >绿<p></p></P></TD>
<TD  vAlign=top width=114>
<P >绿<p></p></P></TD>
<TD  vAlign=top width=114>
<P >绿<p></p></P></TD>
<TD  vAlign=top width=114>
<P ><FONT face="Times New Roman">60<p></p></FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=114>
<P >红<p></p></P></TD>
<TD  vAlign=top width=114>
<P >黄<p></p></P></TD>
<TD  vAlign=top width=114>
<P >黄<p></p></P></TD>
<TD  vAlign=top width=114>
<P >绿<p></p></P></TD>
<TD  vAlign=top width=114>
<P ><FONT face="Times New Roman">3<p></p></FONT></P></TD></TR></TABLE>
<P  align=center>（<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>路红绿灯时间分配）<p></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><p><FONT face="Times New Roman" size=3> </FONT></p></P>