求教最佳泄洪方案问题!

holycat

<  align=left>具体问题如下,有谁做过啊?请问该怎么做啊?</P>
<  align=center>最佳泄洪方案<p></p></P>
< >在洪水肆虐时，从全局出发有必要采取破堤泄洪，但从何处破堤分洪要考虑破堤的最小损失。现在选定在河岸一边完全封闭的某一区域破堤泄洪，根据区域内地形以及当前地面财产总数的不同，可将该区域分成<FONT face="Times New Roman">17</FONT>个小区域，各个相邻小区之间有相对高度为<st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="1.2" UnitName="米"><FONT face="Times New Roman">1.2</FONT>米</st1:chmetcnv>的小堤互相间隔。如下图所示：<p></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><v:line><FONT face="Times New Roman"></FONT></v:line><FONT face="Times New Roman">           ----------------</FONT>河<FONT face="Times New Roman">----------------------------</FONT>流<FONT face="Times New Roman">----------------------------<p></p></FONT></P>
<P>
<TABLE  cellSpacing=0 cellPadding=0 align=left border=1>

<TR >
<TD  vAlign=top width=63>
<P  align=center><FONT face="Times New Roman">H4.0<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">S8.4<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">K3.0<p></p></FONT></P></TD>
<TD  vAlign=top width=127 colSpan=2>
<P  align=center><FONT face="Times New Roman">3.6<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">6.1<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">2.4<p></p></FONT></P></TD>
<TD  vAlign=top width=63>
<P  align=center><FONT face="Times New Roman">4.7<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">7.0<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">5.8<p></p></FONT></P></TD>
<TD  vAlign=top width=63>
<P  align=center><FONT face="Times New Roman">3.8<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">4.8<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">2.0<p></p></FONT></P></TD>
<TD  vAlign=top width=63>
<P  align=center><FONT face="Times New Roman">4.4<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">9.3<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">3.3<p></p></FONT></P></TD>
<TD  vAlign=top width=63>
<P  align=center><v:line><FONT face="Times New Roman"></FONT></v:line><FONT face="Times New Roman">5.2<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">3.6<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">5.2<p></p></FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=63>
<P  align=center><FONT face="Times New Roman">3.3<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">3.6<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">9.4<p></p></FONT></P></TD>
<TD  vAlign=top width=63>
<P  align=center><FONT face="Times New Roman">3.2<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">0.9<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">1.8<p></p></FONT></P></TD>
<TD  vAlign=top width=63>
<P  align=center><FONT face="Times New Roman">2.5<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">8.5<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">5.0<p></p></FONT></P></TD>
<TD  vAlign=top width=127 colSpan=2>
<P  align=center><FONT face="Times New Roman">5.0<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">1.8<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">7.2<p></p></FONT></P></TD>
<TD  vAlign=top width=63>
<P  align=center><FONT face="Times New Roman">4.4<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">4.3<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">1.6<p></p></FONT></P></TD>
<TD  vAlign=top width=63>
<P  align=center><FONT face="Times New Roman">5.2<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">1.6<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">2.3<p></p></FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=63>
<P  align=center><FONT face="Times New Roman">3.0<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">4.6<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">1.8<p></p></FONT></P></TD>
<TD  vAlign=top width=63>
<P  align=center><FONT face="Times New Roman">5.4<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">1.5<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">4.1<p></p></FONT></P></TD>
<TD  vAlign=top width=127 colSpan=2>
<P  align=center><FONT face="Times New Roman">3.8<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">2.6<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">3.9<p></p></FONT></P></TD>
<TD  vAlign=top width=63>
<P  align=center><FONT face="Times New Roman">4.2<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">2.3<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">5.1<p></p></FONT></P></TD>
<TD  vAlign=top width=127 colSpan=2>
<P  align=center><FONT face="Times New Roman">3.9<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">6.8<p></p></FONT></P>
<P  align=center><FONT face="Times New Roman">3.2<p></p></FONT></P></TD></TR>
<TR height=0>
<TD  width=63><FONT face="Times New Roman"></FONT></TD>
<TD  width=63><FONT face="Times New Roman"></FONT></TD>
<TD  width=63><FONT face="Times New Roman"></FONT></TD>
<TD  width=63><FONT face="Times New Roman"></FONT></TD>
<TD  width=63><FONT face="Times New Roman"></FONT></TD>
<TD  width=63><FONT face="Times New Roman"></FONT></TD>
<TD  width=63><FONT face="Times New Roman"></FONT></TD></TR></TABLE></P>
<P ><v:line><FONT face="Times New Roman"></FONT></v:line><v:line><FONT face="Times New Roman"></FONT></v:line><v:line><FONT face="Times New Roman"></FONT></v:line><p></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>
<P><BR  clear=all> </P>
<P >每个小区域内分别标有该区域的海拔高度<FONT face="Times New Roman">h(</FONT>米<FONT face="Times New Roman">)</FONT>、面积<FONT face="Times New Roman">s(</FONT>平方千米<FONT face="Times New Roman">)</FONT>和泄洪后完全淹没时各种损失之和<FONT face="Times New Roman">k</FONT>（百万元）。约定：<p></p></P>
<P ><FONT face="Times New Roman">（1）     </FONT>泄洪后洪水淹没一个小区的损失、小区总资产以及水位的高度<FONT face="Times New Roman">p</FONT>之间的关系如下：<p></p></P>
<P  align=center>损失<FONT face="Times New Roman">=</FONT><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 connecttype="rect" gradientshapeok="t" extrusionok="f"></v:path><lock aspectratio="t" v:ext="edit"></lock></FONT></v:shapetype><v:shape><v:imagedata></v:imagedata></v:shape>；<p></p></P>
<P >（<FONT face="Times New Roman">2</FONT>）<FONT face="Times New Roman"> </FONT>在大堤和小堤上的决口数不受限制，可在任意地方选择决口，但决口后不可再补合；<p></p></P>
<P >（<FONT face="Times New Roman">3</FONT>）大堤决口后流入小区的洪水量按决口宽度成比例，小区之间一经决口则认为该小堤完全决口；<p></p></P>
<P >（<FONT face="Times New Roman">4</FONT>）在各小区之间，若水位高于某一相邻小堤，则水将向邻近最低的小区自动泄洪，若有多个同高小区，则约定平均泄洪。<p></p></P>
<P >求解：<p></p></P>
<P ><FONT face="Times New Roman">（1）     </FONT>整个区域最大损失的最小洪水量<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>？<p></p></P>
<P ><FONT face="Times New Roman">（2）     </FONT>选取满足条件<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>的不同洪水量为<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>，制定损失最小的泄洪方案（至少选择<FONT face="Times New Roman">4</FONT>个不同的洪水量）并计算该方案的损失数。<p></p></P>
[em04][em04][em04]

holycat

<>help me！</P>