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1、TransportationResearchPartE46(2010)598–611ContentslistsavailableatScienceDirectTransportationResearchPartEjournalhomepage:www.elsevier.com/locate/treAmodifiedantcolonyoptimizationalgorithmformulti-iteminventoryroutingproblemswithdemanduncertaintya,1b,*Shan-HuenHuang,Pei-ChunLinaDepartmentofL
2、ogisticsManagement,NationalKaohsiungFirstUniversityofScienceandTechnology,No.2,JhuoyueRoad,NanzihDistrict,KaohsiungCity811,TaiwanbDepartmentofTransportationandCommunicationManagementScience,NationalChengKungUniversity,No.1,UniversityRoad,Tainan701,TaiwanarticleinfoabstractArticlehistory:Thi
3、spaperaddressesanintegratedmodelthatschedulesmulti-itemreplenishmentwithReceived30June2009uncertaindemandtodeterminedeliveryroutesandtruckloads,wheretheactualreplen-Receivedinrevisedform19October2009ishmentquantityonlybecomesknownuponarrivalatademandlocation.ThispaperAccepted17December2009d
4、epartsfromtheconventionalantcolonyoptimization(ACO)algorithm,whichminimizestotaltravellength,andincorporatestheattractionofpheromonevaluesthatindicatethestockoutcostsonnodes.ThecontributionsofthepapertotheliteraturearemadebothKeywords:intermsofmodelingthiscombinedmulti-iteminventorymanageme
5、ntwiththevehicle-InventoryroutingproblemsroutingproblemandinintroducingamodifiedACOfortheinventoryroutingproblem.AntcolonyoptimizationalgorithmÓ2010ElsevierLtd.Allrightsreserved.1.IntroductionInventoryroutingproblems(IRPs)addressthecoordinationofinventorymanagementandtransportation(Kleywegte
6、tal.,2002),whichisusuallynecessitatedbyconsumersrelyingonacentralsuppliertoprovideagivencommodityonarepeatedbasis(Jailletetal.,2002).IRPsareusedtodetermineshippingpoliciesthatoptimizethetrade-offbetweeninven-torycostsandtransportationcosts(Burnsetal.,1985).TheIRPisoneofthecoreproblemsthatmu
7、stbesolvedwhenimple-mentingvendor-managedinventory(VMI)replenishment(Kleywegtetal.,2002),anemergingtrendinlogisticsthatreferstoasituationinwhichthesuppliermanagesinventoryreplenishmentonbehalfofthecustomers.Disneyetal.(2003)inves-tigatestheimpactofaVMIst