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ID:46568526
大小:147.54 KB
页数:8页
时间:2019-11-25
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1、一-Determiningthecapacitylevel(确定能力水平)expandingthecapacityP287-2881>Costofwaitingisknown等待成本已知①:算一个总的成本MC(includingtheequipment,humanresource)②:再算受影响的顾客affectednumberofCustomers③:算一个收益MB(用受影响的顾客悯获得的时间*等待成木)④:比较MC和MB(MC2、theywanttoincreaseanadditionalequipmenttoincreaseefficiency.Anadditionalequipmentrequiresaninvestmentof$100000,assumeusefullifetobe5years・Anoperatormustbehiredtoruntheequipmentandpaid$15perhour.Assumetheadditionalequipmentisoperatedfrom8:00amto10:00amandalsofrom5:00pmt3、o7:00pminthewholeyear,anditworks5daysaweek.Assumeeverymonthhas3.5weeks.Becauseofit,theaveragewaitingtimepercustomerwilldropfrom45minto15minoragainof30min,andwillaffect20.5customersperhour.Ifweassumethatthevalueofwaitingforthecustomeris$4.5perhour.Soisitworthwhileexpand4、ingthecapacitytoonemoreequipment?Why?答案:Calculatethetotalcostofthewholeyear:($15*4hours*5days*3.5weeks*12mouth)+($100000/5years)=$32600thetotalnumberofcustomersaffect:20.5customer*4hours*5days*3.5weeks*12=17220customersTheincreasedvalueforcustomer(orsavedvalueforcustom5、er):17220customers*30min/60min*$4.5=$38745$38745>$32600soifsworthwhileexpandingoneequipment.2^Costofwaitingisnotknown等待成本未知P290•a=marginalcostofcapacityexpansion总成本•b=costofwaitingpertimeunitandpercustomer等彳i矣成木•Aw=themarginalreductionofaveragewaitingtimepercustomer赚取的6、时间•N=totalnumberofcustomerswhoseaveragewaitingtimewillbereducedoverthetimehorizonconsidered所受影响的顾客Ifb>,thentheexpandingisworthwhile△w*NIfb<——-——,thentheexpandingisn'tworthwhile(上面那道题改成等待成本未知)二*Customeristurnedaway(打发顾客)tocalculatetheoptimalcapacityP290P(D>CJ=—」(其中Co表示每7、过剩一个单位的能力成本,Cs表示每短缺一个单Cs+Co位的能力成本)注意:①根据P(D>e)=Cs+C。这个公式算出P(D>C*)②根据P(DC*)算出得到一个数③根据z=±二出,因为是服从正态分布,因此A知道均值和标准差,再根据笫二步算出的一个数查表找寻z值,最后得出X。例题:McDonaldhastodecidehowmanyseatstoprovideinanewMcDonaldinMianYang,themanagerknowthedemandinMianYangisnormallydistribute8、dwithanaverageof200seatsperdayandastandarddeviationof15.Oneday,theMcDonaldhastoturnawayacustomerbecauseseatsareallocc
2、theywanttoincreaseanadditionalequipmenttoincreaseefficiency.Anadditionalequipmentrequiresaninvestmentof$100000,assumeusefullifetobe5years・Anoperatormustbehiredtoruntheequipmentandpaid$15perhour.Assumetheadditionalequipmentisoperatedfrom8:00amto10:00amandalsofrom5:00pmt
3、o7:00pminthewholeyear,anditworks5daysaweek.Assumeeverymonthhas3.5weeks.Becauseofit,theaveragewaitingtimepercustomerwilldropfrom45minto15minoragainof30min,andwillaffect20.5customersperhour.Ifweassumethatthevalueofwaitingforthecustomeris$4.5perhour.Soisitworthwhileexpand
4、ingthecapacitytoonemoreequipment?Why?答案:Calculatethetotalcostofthewholeyear:($15*4hours*5days*3.5weeks*12mouth)+($100000/5years)=$32600thetotalnumberofcustomersaffect:20.5customer*4hours*5days*3.5weeks*12=17220customersTheincreasedvalueforcustomer(orsavedvalueforcustom
5、er):17220customers*30min/60min*$4.5=$38745$38745>$32600soifsworthwhileexpandingoneequipment.2^Costofwaitingisnotknown等待成本未知P290•a=marginalcostofcapacityexpansion总成本•b=costofwaitingpertimeunitandpercustomer等彳i矣成木•Aw=themarginalreductionofaveragewaitingtimepercustomer赚取的
6、时间•N=totalnumberofcustomerswhoseaveragewaitingtimewillbereducedoverthetimehorizonconsidered所受影响的顾客Ifb>,thentheexpandingisworthwhile△w*NIfb<——-——,thentheexpandingisn'tworthwhile(上面那道题改成等待成本未知)二*Customeristurnedaway(打发顾客)tocalculatetheoptimalcapacityP290P(D>CJ=—」(其中Co表示每
7、过剩一个单位的能力成本,Cs表示每短缺一个单Cs+Co位的能力成本)注意:①根据P(D>e)=Cs+C。这个公式算出P(D>C*)②根据P(DC*)算出得到一个数③根据z=±二出,因为是服从正态分布,因此A知道均值和标准差,再根据笫二步算出的一个数查表找寻z值,最后得出X。例题:McDonaldhastodecidehowmanyseatstoprovideinanewMcDonaldinMianYang,themanagerknowthedemandinMianYangisnormallydistribute
8、dwithanaverageof200seatsperdayandastandarddeviationof15.Oneday,theMcDonaldhastoturnawayacustomerbecauseseatsareallocc
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