某公司擬建一個(gè)配送中心因次分析法

某公司擬建一個(gè)配送中心，有三處候選地址A\B\C，總經(jīng)濟(jì)因素年總成本分別為375、360、365，就政策而言A最寬松，B次之，C最次；就氣候而言，AB相同，C地次之；就安全而言，C地最好，A最差。據(jù)專家評(píng)估，三種非經(jīng)濟(jì)因素比重為0.5、0.3、0.2。成本因素與非成本因素同等重要。試用因次分析法求最佳地址。答：首先計(jì)算D、E、F三處的位置量度值，然后再比較，計(jì)算過程如下：客觀量度值OMi的計(jì)算。根據(jù)可計(jì)算出各候選廠址的位置量度值OMi：OMA==[375×(1/375+1/360+1/365)]=0.326·······················2分OMB=0.339····································2分OMC=0.335····································2分(2)主觀評(píng)比值Sik的計(jì)算。根據(jù)三個(gè)不同的主觀因素，A、B、C三處的主觀評(píng)比值Sik如下：1）政策法規(guī)（A＞B＞C)廠址ABC比重SiaA-1122/3B0-111/3C00-00/3········································2分2)氣候（A=B＞C）廠址ABC比重SibA-0111/2B0-111/2C00-00·······································2分安全（C＞B＞A）廠址ABC比重SicA-0000B1-011/3C11-22/3······································2分根據(jù)各主觀因素的重要性指數(shù)Ik和各選址位置的主觀評(píng)比值Sik，可以計(jì)算每一可行位置的主觀量度值SMi?，F(xiàn)將各主觀因素作評(píng)比總結(jié)，各候選廠址評(píng)比值如表所示。因素kABC重要性IkaSia2/31/300.5bSib1/21/200.3cSic01/32/30.2計(jì)算可得SMA＝2/3*0.5+1/2*0.3+0*0.2=0.483·························2分SMB＝1/3*0.5+1/2*0.3+1/3*0.3=0.384························2分SMC=0*0.5+0*0.3+2/3*0.2=0.133··························2分(3)位置量度值。由于題中給出主觀因素與客觀因素兩者相等即同等重要，故主觀比重值x＝0.5?！ぁぁ?分根據(jù)公式LMi＝X·SMi+(1-X)·OMi·····························2分可計(jì)算出LMA＝0.5×0.326+0.5×0.483=0.4045·························1分LMB＝0.5×0.0.339+0.5×0.384=0.3615························1分LMC＝0.5×0.335+0.5×0.133=0.234·························1分其中答案正確給5分，答案不正確公式正確得2分。(4)決策。根據(jù)各位置量度值LMi的大小，A