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buptrockme 发表于 2006-1-5 22:16

运筹学期末试题~

<P >省 ________________   市____________  远程站名_________________________<o:p></o:p></P>
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<P ><o:p> </o:p></P>
<P >姓名  _________________     学号<o:p></o:p></P></TD>
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<P ><o:p> </o:p></P></TD>
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<P ><o:p> </o:p></P></TD>
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<P ><o:p> </o:p></P></TD>
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<P ><o:p> </o:p></P></TD>
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<P ><o:p> </o:p></P></TD>
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<P ><o:p> </o:p></P></TD>
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<P ><o:p> </o:p></P></TD>
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<P ><o:p> </o:p></P></TD>
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<P ><o:p> </o:p></P></TD>
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<P ><o:p> </o:p></P>
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<P  align=center><B ></B><B ><o:p></o:p></B> </P>
<P  align=center><FONT face="Times New Roman">2001</FONT>／<FONT face="Times New Roman">2002</FONT>学年第二学期信息管理与信息系统专业<B >（二年级）</B></P>
<P  align=center><B ><FONT face="Times New Roman">2000</FONT></B><B >级《运筹学》期末试题</B></P>
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<TR>
<TD  vAlign=top width=45>
<P  align=center>题号</P></TD>
<TD  vAlign=top width=60>
<P  align=center>一</P></TD>
<TD  vAlign=top width=60>
<P  align=center>二</P></TD>
<TD  vAlign=top width=60>
<P  align=center>三</P></TD>
<TD  vAlign=top width=60>
<P  align=center>四</P></TD>
<TD  vAlign=top width=60>
<P  align=center>五</P></TD>
<TD  vAlign=top width=60>
<P  align=center>六</P></TD>
<TD  vAlign=top width=60>
<P  align=center>七</P></TD>
<TD  vAlign=top width=60>
<P  align=center>总分</P></TD></TR>
<TR >
<TD  vAlign=top width=45>
<P  align=center>得分</P></TD>
<TD  vAlign=top width=60>
<P  align=center><o:p><FONT face="Times New Roman"> </FONT></o:p></P></TD>
<TD  vAlign=top width=60>
<P  align=center><o:p><FONT face="Times New Roman"> </FONT></o:p></P></TD>
<TD  vAlign=top width=60>
<P  align=center><o:p><FONT face="Times New Roman"> </FONT></o:p></P></TD>
<TD  vAlign=top width=60>
<P  align=center><o:p><FONT face="Times New Roman"> </FONT></o:p></P></TD>
<TD  vAlign=top width=60>
<P  align=center><o:p><FONT face="Times New Roman"> </FONT></o:p></P></TD>
<TD  vAlign=top width=60>
<P  align=center><o:p><FONT face="Times New Roman"> </FONT></o:p></P></TD>
<TD  vAlign=top width=60>
<P  align=center><o:p><FONT face="Times New Roman"> </FONT></o:p></P></TD>
<TD  vAlign=top width=60>
<P  align=center><o:p><FONT face="Times New Roman"> </FONT></o:p></P></TD></TR></TABLE>
<P ><B >注意事项<FONT face="Times New Roman">: 1. </FONT></B><B >答题需用钢笔或圆珠笔，字迹要清楚，卷面要整洁。<FONT face="Times New Roman"> <o:p></o:p></FONT></B></P>
<P ><B ><FONT face="Times New Roman">2. </FONT></B><B >需要作图的题，图形要工整清楚。<FONT face="Times New Roman"> <o:p></o:p></FONT></B></P>
<P ><B ><FONT face="Times New Roman">3. </FONT></B><B >解计算题一定要有完整的计算步骤，否则扣分。<o:p></o:p></B></P>
<P  align=left><o:p><FONT face="Times New Roman"> </FONT></o:p></P>
<TABLE  cellSpacing=0 cellPadding=0 border=0>

<TR>
<TD  vAlign=top width=56>
<P >得<FONT face="Times New Roman"> </FONT>分</P></TD>
<TD  vAlign=top width=72>
<P >阅卷人</P></TD></TR>
<TR >
<TD  vAlign=top width=56>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD>
<TD  vAlign=top width=72>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD></TR></TABLE>
<P ><B >一、</B><B >填空题（每空<FONT face="Times New Roman">3</FONT></B><B >分，共<FONT face="Times New Roman">15</FONT></B><B >分）<o:p></o:p></B></P>
<P >有如下线性规划，令<FONT face="Times New Roman"><I >x</I><SUB>6</SUB>, <I >x</I><SUB>7</SUB></FONT>分别为约束条件<FONT face="Times New Roman">(1)</FONT>和<FONT face="Times New Roman">(2)</FONT>的松弛变量，指出下表各组解的类型<FONT face="Times New Roman"> (1. </FONT>可行解<FONT face="Times New Roman">, 2. </FONT>非可行解<FONT face="Times New Roman">, 3. </FONT>基础可行解<FONT face="Times New Roman">, 4. </FONT>基础非可行解<FONT face="Times New Roman">) </FONT></P>
<P ><v:shapetype><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 o:connecttype="rect" gradientshapeok="t" o:extrusionok="f"></v:path><o:lock aspectratio="t" v:ext="edit"></o:lock></v:shapetype><v:shape><v:imagedata><FONT face="Times New Roman"></FONT></v:imagedata></v:shape></P>
<TABLE  cellSpacing=0 cellPadding=0 border=1>

<TR>
<TD  vAlign=top width=113>
<P  align=center><v:line><v:stroke endarrowlength="short" endarrowwidth="narrow" startarrowlength="short" startarrowwidth="narrow" dashstyle="1 1"><FONT face="Times New Roman"></FONT></v:stroke></v:line><I ><FONT face="Times New Roman">       x<SUB>j</SUB></FONT></I></P>
<P ><FONT face="Times New Roman"> </FONT>解</P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman"><I >x</I><SUB>1</SUB></FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman"><I >x</I><SUB>2</SUB></FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman"><I >x</I><SUB>3</SUB></FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman"><I >x</I><SUB>4</SUB></FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman"><I >x</I><SUB>5</SUB></FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman"><I >x</I><SUB>6</SUB></FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman"><I >x</I><SUB>7</SUB></FONT></P></TD>
<TD  vAlign=top width=76>
<P  align=center>解的</P>
<P  align=center>类型</P></TD></TR>
<TR>
<TD  vAlign=top width=113>
<P  align=center>一</P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">20</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">40</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">30</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">50</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">250</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">460</FONT></P></TD>
<TD  vAlign=top width=76>
<P  align=center><o:p><FONT face="Times New Roman"> </FONT></o:p></P></TD></TR>
<TR>
<TD  vAlign=top width=113>
<P  align=center>二</P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">430</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">860</FONT></P></TD>
<TD  vAlign=top width=76>
<P  align=center><o:p><FONT face="Times New Roman"> </FONT></o:p></P></TD></TR>
<TR>
<TD  vAlign=top width=113>
<P  align=center>三</P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">645</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center>-<FONT face="Times New Roman">215</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=76>
<P  align=center><o:p><FONT face="Times New Roman"> </FONT></o:p></P></TD></TR>
<TR>
<TD  vAlign=top width=113>
<P  align=center>四</P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">230</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">100</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=76>
<P  align=center><o:p><FONT face="Times New Roman"> </FONT></o:p></P></TD></TR>
<TR >
<TD  vAlign=top width=113>
<P  align=center>五</P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">200</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">120</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center>-<FONT face="Times New Roman">10</FONT></P></TD>
<TD  vAlign=top width=43>
<P  align=center><FONT face="Times New Roman">60</FONT></P></TD>
<TD  vAlign=top width=76>
<P  align=center><o:p><FONT face="Times New Roman"> </FONT></o:p></P></TD></TR></TABLE>
<P  align=left><o:p><FONT face="Times New Roman"> </FONT></o:p></P>
<TABLE  cellSpacing=0 cellPadding=0 border=0>

<TR>
<TD  vAlign=top width=56>
<P >得<FONT face="Times New Roman"> </FONT>分</P></TD>
<TD  vAlign=top width=72>
<P >阅卷人</P></TD></TR>
<TR >
<TD  vAlign=top width=56>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD>
<TD  vAlign=top width=72>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD></TR></TABLE>
<P ><B >二、计算题（共<FONT face="Times New Roman">15</FONT></B><B >分）<o:p></o:p></B></P>
<P >某公司有<FONT face="Times New Roman">7</FONT>名推销员在三个不同市场里推销货物，这三个市场里推销员人数与收益的关系如下表，请做出各市场推销人员的分配方案，使总收益最大。</P>
<TABLE  cellSpacing=0 cellPadding=0 border=1>

<TR>
<TD  vAlign=top width=53>
<P >市场<FONT face="Times New Roman"> </FONT>人数<o:p></o:p></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">0</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">1</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">2</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">3</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">4</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">5</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">6</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">7</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">1</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">20</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">32</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">66</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">57</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">47</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">42</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">40</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">30</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">2</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">40</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">50</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">60</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">71</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">97</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">55</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">50</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">40</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">3</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">50</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">61</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">80</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">82</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">70</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">70</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">65</FONT></P></TD>
<TD  vAlign=top width=53>
<P  align=center><FONT face="Times New Roman">60</FONT></P></TD></TR></TABLE>
<P  align=left><o:p><FONT face="Times New Roman"> </FONT></o:p></P>
<TABLE  cellSpacing=0 cellPadding=0 border=0>

<TR>
<TD  vAlign=top width=56>
<P >得<FONT face="Times New Roman"> </FONT>分</P></TD>
<TD  vAlign=top width=72>
<P >阅卷人</P></TD></TR>
<TR >
<TD  vAlign=top width=56>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD>
<TD  vAlign=top width=72>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD></TR></TABLE>
<DIV >
<TABLE cellSpacing=0 cellPadding=0 align=left vspace="0" hspace="0">

<TR>
<TD  vAlign=top align=left>
<P ><v:shape><v:imagedata><FONT face="Times New Roman"></FONT></v:imagedata></v:shape></P></TD></TR></TABLE></DIV>
<P ><B >三、计算题<o:p></o:p></B></P>
<P ><B >（共<FONT face="Times New Roman">10</FONT></B><B >分）<o:p></o:p></B></P>
<P ><o:p><FONT face="Times New Roman"> </FONT></o:p></P>
<P >如图三，在给定的初始流<FONT face="Times New Roman">(<I >c<SUB>ij</SUB>,, f<SUB>ij </SUB></I>)</FONT>下，求该网络的最大流和最小截集。<B ><o:p></o:p></B></P>
<P  align=left><o:p><FONT face="Times New Roman"> </FONT></o:p></P>
<P  align=left><o:p><FONT face="Times New Roman"> </FONT></o:p></P>
<TABLE  cellSpacing=0 cellPadding=0 border=0>

<TR>
<TD  vAlign=top width=56>
<P >得<FONT face="Times New Roman"> </FONT>分</P></TD>
<TD  vAlign=top width=72>
<P >阅卷人</P></TD></TR>
<TR >
<TD  vAlign=top width=56>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD>
<TD  vAlign=top width=72>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD></TR></TABLE>
<P ><B >四、应用题<o:p></o:p></B></P>
<P ><B >（共<FONT face="Times New Roman">15</FONT></B><B >分）<o:p></o:p></B></P>
<P >某电信局做市话扩容规划，规划期为<FONT face="Times New Roman">10</FONT>年，一次扩容的容量只能在下面三种系列选择：<FONT face="Times New Roman">1000</FONT>门，<FONT face="Times New Roman">2000</FONT>门和<FONT face="Times New Roman">5000</FONT>门。假设需求是线性增长的，每<FONT face="Times New Roman">1000</FONT>门可以满足<FONT face="Times New Roman">2</FONT>年的需求。令基年容量已满，开始扩容，基年购买<FONT face="Times New Roman">1000</FONT>门，<FONT face="Times New Roman">2000</FONT>门和<FONT face="Times New Roman">5000</FONT>门设备所需费用分别为<FONT face="Times New Roman">40</FONT>万，<FONT face="Times New Roman">50</FONT>万和<FONT face="Times New Roman">120</FONT>万元；假设第<FONT face="Times New Roman">2, 4, 6, 8</FONT>年购买设备所需费用分别仅为基年费用的<FONT face="Times New Roman">90%, 80%, 70%, 60%</FONT>，求<FONT face="Times New Roman">10</FONT>年内的最佳扩容方案。</P>
<TABLE  cellSpacing=0 cellPadding=0 border=0>

<TR>
<TD  vAlign=top width=56>
<P >得<FONT face="Times New Roman"> </FONT>分</P></TD>
<TD  vAlign=top width=72>
<P >阅卷人</P></TD></TR>
<TR >
<TD  vAlign=top width=56>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD>
<TD  vAlign=top width=72>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD></TR></TABLE>
<P ><B >五、应用题（共<FONT face="Times New Roman">20</FONT></B><B >分）</B></P>
<P >某机场飞机的到达率为一泊松流，平均到达率为<FONT face="Times New Roman">8</FONT>架<FONT face="Times New Roman">/</FONT>小时，机场现只有一条跑道，飞机降落占用跑道的时间服从负指数分布，平均为<FONT face="Times New Roman">6</FONT>分钟。当跑道被占用时，等待降落的飞机只能在空中盘旋，飞机在空中盘旋等待的损失费为<FONT face="Times New Roman">500</FONT>元<FONT face="Times New Roman">/</FONT>分钟。若再建设一条同样的跑道，则可减少飞机盘旋的损失费，若希望<FONT face="Times New Roman">5</FONT>年内节省的损失费可超过跑道建设投资，问跑道建设投资的上限应为多少？<FONT face="Times New Roman">(</FONT>一年按<FONT face="Times New Roman">360</FONT>天计，每天按<FONT face="Times New Roman">12</FONT>小时计<FONT face="Times New Roman">)</FONT></P>
<P >提示：可能用到下面某些公式</P>
<P  align=left><v:shape><v:imagedata></v:imagedata></v:shape><FONT face="Times New Roman">, </FONT><v:shape><v:imagedata><FONT face="Times New Roman"></FONT></v:imagedata></v:shape><FONT face="Times New Roman">, </FONT><v:shape><v:imagedata><FONT face="Times New Roman"></FONT></v:imagedata></v:shape></P>
<P  align=left><o:p><FONT face="Times New Roman"> </FONT></o:p></P>
<TABLE  cellSpacing=0 cellPadding=0 border=0>

<TR>
<TD  vAlign=top width=56>
<P >得<FONT face="Times New Roman"> </FONT>分</P></TD>
<TD  vAlign=top width=72>
<P >阅卷人</P></TD></TR>
<TR >
<TD  vAlign=top width=56>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD>
<TD  vAlign=top width=72>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD></TR></TABLE>
<P  align=left><B >六、应用题（共<FONT face="Times New Roman">10</FONT></B><B >分）</B></P>
<P >某连锁超市经过统计，发现散装可乐每日销量<I ><FONT face="Times New Roman">x</FONT></I>为一负指数分布，即<I ><FONT face="Times New Roman">x</FONT></I>的概率密度函数为<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>，每日平均销售<st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="1000" UnitName="升"><FONT face="Times New Roman">1000</FONT>升</st1:chmetcnv>。该连锁超市需从可乐厂家每日进货，进价为<FONT face="Times New Roman">2</FONT>元<FONT face="Times New Roman">/</FONT>升，当日出售价<FONT face="Times New Roman">3</FONT>元<FONT face="Times New Roman">/</FONT>升；为了保证可乐口味，散装可乐不得次日销售给顾客，只能内部作价处理。超市与可乐厂家签订有长期供货合同<FONT face="Times New Roman">(</FONT>订购费不计<FONT face="Times New Roman">)</FONT>，每日进货量正好为<st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="1000" UnitName="升"><FONT face="Times New Roman">1000</FONT>升</st1:chmetcnv>，问内部处理价格为多少时，该进货量才是最优的？</P>
<P  align=left><o:p><FONT face="Times New Roman"> </FONT></o:p></P>
<TABLE  cellSpacing=0 cellPadding=0 border=0>

<TR>
<TD  vAlign=top width=56>
<P >得<FONT face="Times New Roman"> </FONT>分</P></TD>
<TD  vAlign=top width=72>
<P >阅卷人</P></TD></TR>
<TR >
<TD  vAlign=top width=56>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD>
<TD  vAlign=top width=72>
<P ><B ><o:p><FONT face="Times New Roman"> </FONT></o:p></B></P></TD></TR></TABLE>
<P ><B >七、计算题（共<FONT face="Times New Roman">15</FONT></B><B >分）<o:p></o:p></B></P>
<P >某工厂每月需要某种零件<FONT face="Times New Roman">2000</FONT>件，零件供应按批量定价，且定购费<FONT face="Times New Roman"><I >C<SUB>d</SUB></I> </FONT>和存储费率<FONT face="Times New Roman"><I >C<SUB>s</SUB></I> </FONT>都与批量有关，已知</P>
<P ><FONT face="Times New Roman">0 </FONT>&pound;<FONT face="Times New Roman"> Q </FONT>&pound;<FONT face="Times New Roman">  999</FONT>件，<FONT face="Times New Roman"><I >K</I><SUB>1 </SUB>=1.20</FONT>元<FONT face="Times New Roman">/</FONT>件，<FONT face="Times New Roman"><I >C<SUB>d</SUB></I><SUB>1 </SUB>= 80</FONT>元，<FONT face="Times New Roman"><I >C<SUB>s</SUB></I><SUB>1 </SUB>=0.20</FONT>元<FONT face="Times New Roman">/</FONT>月<FONT face="Times New Roman">•</FONT>件；</P>
<P ><FONT face="Times New Roman">1000 </FONT>&pound;<FONT face="Times New Roman"> Q </FONT>&pound;<FONT face="Times New Roman"> 2999</FONT>件，<FONT face="Times New Roman"><I >K</I><SUB>2 </SUB>=1.15</FONT>元<FONT face="Times New Roman">/</FONT>件，<FONT face="Times New Roman"><I >C<SUB>d</SUB></I><SUB>2 </SUB>=100</FONT>元，<FONT face="Times New Roman"><I >C<SUB>s</SUB></I><SUB>2 </SUB>=0.15</FONT>元<FONT face="Times New Roman">/</FONT>月<FONT face="Times New Roman">•</FONT>件；</P>
<P ><FONT face="Times New Roman">3000 </FONT>&pound;<FONT face="Times New Roman"> Q</FONT>，<FONT face="Times New Roman">                <I >K</I><SUB>3 </SUB>=1.10</FONT>元<FONT face="Times New Roman">/</FONT>件，<FONT face="Times New Roman"><I >C<SUB>d</SUB></I><SUB>3 </SUB>=120</FONT>元，<FONT face="Times New Roman"><I >C<SUB>s</SUB></I><SUB>3 </SUB>=0.10</FONT>元<FONT face="Times New Roman">/</FONT>月<FONT face="Times New Roman">•</FONT>件；</P>
<P >工厂采用不允许缺货模型，试求最佳经济定货量<I ><FONT face="Times New Roman">Q<SUB>m</SUB></FONT></I>。</P>

kaiser1044 发表于 2006-1-11 15:03

答案啊

farrali 发表于 2006-2-28 20:50

<h1>强人啊！</h1>

查看完整版本: 运筹学期末试题~