北京科技大学运营管理作业答案.doc

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1、USTBOperationsManagementHomeworkAssignmentsByDr.Zhu，xiaoningStudentName:黄诗蕴Take-HomeProblemSolvingandEssayQuestionsProblem#1-DecisionScience(Module10DecisionAnalysisused)ABCisplanningtopublish2CDtitles:Discosin70’sandRomantic60’s.Itisexpectedthatpayofffrom70’s

2、willbe$100Kifdemandislowand$600Kifdemandishigh.Itisalsoexpectedthatpayofffrom60’swillbe$200Kifdemandislowand$400Kifdemandishigh.a)WhichtitleshouldABCgoesfirstbasedonMaximin（中间）,Maximax（第一个）,MinimaxRegretandLaplace（最后）?b)Giveyourfinalrecommendation.(

3、a)Maximin如下图分析：保守型方案，认为两种CD需求都low，但是推荐价格高的商品（60s的CD）Maximax如下图分析：乐观方案，认为两种商品需求都高。并且推荐价格更高的商品（60s的CD）。Minimaxregretandlaplace如下图分析：悲观的方案，认为两种CD需求都小，使用Minimax，得出解决方案为70s定价为$100K,60s定价为$200K。并且推荐价格低的商品（70s）（b）综合分析Maxmin策划的分析：保守型方案，认为两种CD需求都low，因此得出解决方案为70s定价为$100

4、K,60s定价为$200K。但是推荐价格高的商品（60s的CD）。Maximax分析：乐观方案，认为两种商品需求都高。因此得出解决方案为70s定价为$600K,60s定价为$400K,并且推荐价格更高的商品（70s的CD）。Minmax策划的分析：悲观的方案，认为两种CD需求都小。得出解决方案为70s定价为$100K,60s定价为$200K。并且推荐价格低的商品（70s）Problem#2-WaitingLineModel(Module9WaitingLinesused)Assuming25customersare

5、arrivingasthePoissonprobabilitydistributionwithinonehourandtheservicerateistwominutespercustomerasexponentialprobabilitydistributioninaone-linefacility.Assumingthewaitingcostpertimeperiodforeachunitis$20andtheservicecostpertimeperiodforeachchannel$18.

6、s>a)Foreconomiccostanalysis,howmanychannelsshouldcompanyset?b)Giveyourreasons.（a）实验得，当channel为3，总费用为$71.11实验得，当channel为4，总费用为$88.72实验得，当channel为2，总费用为$56.17实验得，当channel为1，总费用为$118综上所述，在channel为2时，费用最低，为$56.17，之后随着channel数量增大，费用变高。Problem#3-TransportationProble

7、m(Module2Transportationused)ArizonaPlumbingwhichmakes,amongotherproducts,afulllineofbathtubs.Tobesuccessful,thefirmmustdecidewhichofitsfactoriesshouldsupplywhichofitswarehouses.RelevantdataforArizonaPlumbingarepresentedinthefollowingtableshows,forexample,thati

8、tcostsArizonaPlumbing5$toshiponebathtubfromitsDesMoinesfactorytoitsAlbuquerquewarehouse,$4toBoston,and3$toCleveland.Likewise,weseeinthefigurethatthe300unitsrequiredbyArizonaPlumbin