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1、CapacityGamesinAssemblySystemswithUncertainDemandYunzengWang•YigalGerchakDepartmentofOperations,WeatherheadSchoolofManagement,CaseWesternReserveUniversity,Cleveland,Ohio44106-7235DepartmentofIndustrialEngineering,Tel-AvivUniversity,Tel-Aviv69978,Israelyxw36@
2、po.cwru.edu•ygerchak@eng.tau.ac.ilnassemblerneedssetsofcomponents,eachproducedbyadifferentsupplier.Topro-Aducethecomponentsandassemblethefinalproduct,thefirmsinvolvedneedtocon-structtheirindividualproductioncapacitiesbeforeobservingtheactualdemand.Thefirmshavea
3、nincentivescheme(contract)toinducea“proper”capacitybuild-up.Thekeyparam-etersofthecontractarethesetoftransferpricestheassemblerpayseachsupplierforaunitofitscomponent.Weconsidertwogamesettingsastohowthetermsofthecontractaredetermined.Thefirstisonewheretheassem
4、blersetstheprices,andthesecondisforthesupplierstosimultaneouslyselectthepriceseachwantstochargeforitscomponent.Wefirstcharacterizetheoptimalcapacitydecisionwhenthesystemiscentralized,andthenderivethedecentralizedequilibriumcapacitiesundereachofthetwogamesetti
5、ngs.Weshowthatthedecentralizedchannelperformancesdependheavilyonsystemstruc-ture/parameters.Inparticular,underthefirstsetting,theperformanceimprovesastheassembler’sshareofthesystemwidecapacitycostincreasesanditisnotaffectedbythenum-berofsuppliersinthesystem,w
6、hileunderthesecondsetting,theperformancedegradesbothintheassembler’sshareofcapacitycostandinthenumberofsuppliers.Weshowthatthefirstsettingdominatesthesecondintermsofsystemperformanceifandonlyiftheassembler’sshareofcapacitycostislargerthanthereciprocalofthenum
7、beroffirmsinvolved.(AssemblySystems;CapacityManagement;SupplyChainCoordination)1.IntroductionchainthechoiceofproductioncapacitiesistypicallyPartssuppliersoftenneedtobuilddedicatedpro-uptotheindividualsuppliers,whosecoststructuresductioncapacitieswellaheadofle
8、arningtheactualvary,itisnotaprioriobviousthat(orwhen)theydemandorordersize.Inadditiontostructuresandwillselectcompatiblecapacities,and,eveniftheydomachineries,acapacitybuild-upmayinvolvesecur-so