两货栈延迟支付库存建模分析

华中科技大学硕士学位论文两货栈延迟支付库存建模分析姓名：郑强申请学位级别：硕士专业：应用数学指导教师：曹炬20080413;;;;IAbstractInventoryisanimportantareaofoperationalresearch,whichalsoplayssignificantroleinthefieldofmanagementandlogistics.Enterprisesareapttopursueperfectlyinventorylevelsrecently,moreandmoremoneywereinvestedininventory.Howtosatisfycustomers’expectedrequirementswiththeminimumstockcostistheobjectionofinventorycontrol.Inordertosurviveinthiscompetitivemarket,somanychoicesarethere,themanagersselectappropriatelyaccordingtheirpractice.Manyofthemadopttwo-warehouseinventorysys-tems,oneisown-warehouseandtheotherisrented-warehouselikeCentralWarehousingFacility.So,thestudyontwo-warehouseinventorymodelshasexpansiveforeground.Aftercheckingtherelativeliteraturesabouttwo-warehouseinventorypolicyanddelaypaymentofinventorytactics.Itwasfoundthatalmostnoliteraturewasdevotedtobothofthematthesametime.So,two-warehouseanddelaypaymentinventorymodelsweredevelopedhere.Forcommonanddeteriorating,twomodelsandthecorrespondingcontrolstrategiesarepresented.Giventhefactthatlittleinvestmentswereneededonconditionofdelaypayment,wesetthemaximumprofitasourobjection.Italsointroducedcontinuous-paymentandtwo-stages-paymentwhileconsideringtheeffectofdelaypayment.Finallywegotthealgorithmofhowtocomputetheeconomicalsolutionofthenon-deterioratingitemsmodels.Exampleserepresentedattheendofthisarticle,itfoundthatcontinuous-paymentcanbringmoremoneythantwo-stages-paymenttothebusiness.Evolutionalgorithmwasusedheretogettheoptimumsolutionofdeterioratingitems.Keywords:Two-warehouseDelay-paymentContinuous-paymentTwo-stages-paymentInventoryII¤¤p11.11.1.11.(ArchShaw)(SomeProbleminMarketDistribution1921)MarketDistribution“”(logisticsmanagement)220501320501.1.21P.DP.D.PhysicalDistributionP.D.(PhysicalDistribu-tion)NCPDM1960P.D.P.D.220601980P.D.PhysicalDistributionPhysicalDistribution1935PhysicalDistribution2Logistic2050PhysicalDistribution80LogisticsLogisticsLogisticsP.D.(PhysicalDistribution)Logistics3R.LogisticsMaterialFlow(InformationFlow)1985NCPDMIPDMP.D.LogisticsCLMILDMP.D.LogisticsLogistics””Logistics(P.D.)1989LogisticsLogistics2000Logistics3Logistics1998LogisticsLogistics1.1.3191830PhysicalSupply2060PeterDrucker4207080196419567PhysicalDistributionP.D.P.D.1964P.D.P.D.19651981197919796198819894Logistics20705200019801990GDP15.7%11.4%19999210GDP926009.9%200017880GDP20%199939001996GDP10.5%45103611079701980GDP17.2%199656100/4FormalityPossessionUtilityGeneralMotorsAcceptanceCorporationRightE..E.GrosvenorPlowman5RTimeUtility6(1)(2)(3)1.2:1723451234???8123456()9199939006871.31915Harris(EOQ:EconomicOrderQuantity)Wilson(1934)EOQ201953WhitinTM(TheTheoryofInventoryManagement)ArrowKJ1958(StudiesintheMathematicalTheoryofInventoryandProduction)MoranPAP1959(TheTheoryofStorage)WagnerAMDynamicVersionoftheEconomicLotSizeModel(1958)VemottAFTheOptimalInventoryPolicyforBatchOrderings(1965)(ManagementScience)(OperationsResearch)(MathematicalMethodsofOperationsResearch)(JournalofProbability)(JournaloftheOperationalResearchSociety)(SIAMJournalofControlandOptimization)(InternationalJournalOfProductionEconomics)(EuropeanJournalOfOperationResearch)(DecisionScience)(JournalOfInformationandOptimization)(ProductionPlanningandControl)VPICPFR101234;1.41.4.1GoyalS.K[1,2](1985)Shah,V.R.&Patel,N.C.&Shah,D.K.[3](1988)GoyalMondal&Phaujdar[4](1989c)Shah,N.H.[5,6](1993a1993b)Shah,V.R.&Sreehari,M.[7](1996)11Aggawal&Jaggiy[8](1995)Chu,P.&Chung,K.J.&Lan,S.P.[9](1998)ChungK.J[10–12]19982000)Chang&Huang[13](2003)Chang&Dyeetl[14–16](20012002)Jamal,A.M.M.&Sarker,B.R.&Wang[17,18]19972000.Yang,Hui.Ling[19,20].Chen&Chuang[21](1999)Salameh,M.K.,&Abound,N.E.&Ei-Kassar,A.N.&Ghattas,R.E.[22]2001Chang&Huang[23](1999)ShibSankarSana&KSChaudhuri[24]2008Khouja&Mehrez[25](1996)(1)(2)ShibSankarSana&K.S.Chaudhuri[24](2008)1°2°3°4°Levinetal[26]1972Silver&Peterson[27](1985)Hartley[28](1976)12OWOwnWarehouse(RW:RentWarehouse)RW1°OWOWRWOWOWOWHui-LingYang[19,20](20042006)2°RWOWRWRWOWOWHartleySarma[29]1987HartleyRWOWGoswani&Chaudhuri[30](1991)RWOWRWOWSarma[31]1983Pakkala&Achary[32]1992SaramBhunia&Maiti[33]1998[34]Bhania&Maiti1°2°3°[35]199820054°[36]5°[37][38]B.Das*,andK.Maity,andM[39].Maiti20071.4.2[40](2007)13:1234OWOWRWOWOWRWOW1422.1,:A1;A2RW;A3;A4;A5RWOWqW(OW)ATQn(RW)(OW)q;T0(RW)(OW)Ct(RW)(OW)pchoOWhrRW,hrhoIr(t)tRWIo(t)tOWD(t)t,D(t)=DIc,,;IeYearmYear2.2t=0,Q=W+nq,W,nqRWOWT0W¡q,RWqOW,OWWt=nT0RWt=TOW,15OW8t02(0;T0)OW,Io(t0)t0D,dIo(t0)=¡Ddt0;t02(0;T0)Io(0)=W,Io(t0)=W¡Dt0;t02(0;T0),T0RWOW,RT00Ddt=q,OW,t02(iT0;(i+1)T0)Io(t0)=I(t0¡iT0)=W¡Dt(t=t0¡iT0)(2.2.1)t02(nT0;T)OW,dIo(t0)=¡Ddt0;t02(nT0;T),t=nT0Io(nT0)=WIo(t0)=I(nT0+t)=W¡Dt;(t=t0¡nT0)OWHow=nhoZT00Io(t)dt+hoZTnT0Io(t)dt=ho·nZT00Io(t)dt+ZTnT0Io(t)dt¸=ho[n(2Wq¡q2)+W2]2D(2.2.2)RWT0qOW,RW,8t2((i¡1)T0;iT0)Iir(t)=(n+1¡i)q.TRW:Hrw=hrT0[nq+(n¡1)q+:::+2q+q]=hrT0n(n+1)q2=hrq2(n+1)n2D(2.2.3)RWOWHt=nCtmT,,,,nq2.2.1:,,,,,,,,16t=0¡pIeR¡0D(¡¡t)dtmTm1m¸T,T,m:pIeRT0D(m¡t)dt:TP1(n;q)=(p¡c)Q¡(A+nCt)¡Hrw¡How+pIeRT0D(m¡t)dtT(2.2.1a)2mTpRm0Ddt+pIeRm0D(m¡t)dt¸c(W+nq)T,m:TP2(n;q)=(p¡c)Q¡(A+nCt)¡Hrw¡How+pIeRT0D(T¡t)dtT(2.2.1b)3mT,pRm0