好楠儿 发表于 2008-5-1 17:48

[求助]各位达人,帮忙解决一道建模题~

<p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span lang="EN-US"><font face="Times New Roman">小女子乃数模新人,在做一道练习,无奈才疏学浅,还请各位达人多多指点~</font></span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span lang="EN-US"></span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font face="Times New Roman" size="3"><span lang="EN-US"></span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span lang="EN-US"><font face="Times New Roman">2.1</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">问题由来:</span><span lang="EN-US" style="COLOR: red;"><p></p></span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 12pt; mso-char-indent-count: 1.0;"><font size="3"><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">银行的市场化进程要求银行由大量铺设营业网点向集约化收缩调整,合理设计银行网点(也包括</span><span lang="EN-US"><font face="Times New Roman">AMT</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">和自助银行),可以节约成本,提升银行服务价值和竞争力。</span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span lang="EN-US"><font face="Times New Roman">2.2</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">问题要求:</span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span lang="EN-US"><span style="mso-spacerun: yes;"><font face="Times New Roman">
                                        </font></span></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">一方面,从银行经济效益出发,希望在业务窗口一定的情况下,单位时间内服务的顾客数量越大越好,本题是多服务台情形,<span style="COLOR: red;">要求设置的业务窗口利用率至少在</span></span><span lang="EN-US" style="COLOR: red;"><font face="Times New Roman">0.56</font></span><span style="COLOR: red; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">以上;</span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span lang="EN-US"><span style="mso-spacerun: yes;"><font face="Times New Roman">
                                        </font></span></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">另一方面,从顾客的接受程度出发,希望在银行业务窗口前排队不要太长,除办理业务外停留时间越短越好,顾客一般在银行能够接受的等待时间为</span><span lang="EN-US" style="COLOR: red;"><font face="Times New Roman">5.0-9.0</font></span><span style="COLOR: red; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">分钟。</span><span lang="EN-US" style="COLOR: red;"><p></p></span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span lang="EN-US"><font face="Times New Roman">2.3</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">需要解决的问题:</span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span lang="EN-US"><font face="Times New Roman"><span style="mso-spacerun: yes;">
                                        </span>(1)</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">根据题目提供的数据</span><span lang="EN-US"><font face="Times New Roman">(</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">见附录</span><span lang="EN-US"><font face="Times New Roman">10.1),</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">找出影响银行网点个数的主要因素,并解释原因;</span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span lang="EN-US"><font face="Times New Roman"><span style="mso-spacerun: yes;">
                                        </span>(2)</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">根据问题要求,建立网点个数设计模型,判断给出的各个区县的网点个数是否合理;</span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span lang="EN-US"><font face="Times New Roman"><span style="mso-spacerun: yes;">
                                        </span>(3)</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">若某区县的银行网点个数设计不合理,应怎样调整。</span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;"></span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;"></span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">题目数据给出了20个区县的银行网点数,以及人口、运输、经济等十方面因素的数据,第一问我们已经用回归分析解答了,第二问貌似应该是一个排队问题,但是不知道具体怎么解决~~苦等各位帮忙解答~</span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><font size="3"><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;"></span></font></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><p><font face="Times New Roman" size="3">
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