WestudyanInventoryRoutingProbleminwhichthesupplierhasalimitedproductioncapacityandthe
stochastic demandoftheretailersissatisfied withprocurementoftransportationservices.Theaimisto
minimize thetotalexpectedcostoveraplanninghorizon,givenbythesumoftheinventorycostatthe
supplier,theinventorycostattheretailers,thepenaltycostforstock-outattheretailersandthe
transportation cost.First,weshowthatapolicybasedjustontheaveragedemandcanhaveatotal
expectedcostinfinitelyworsethantheoneobtainedbytakingintoaccounttheoverallprobability
distribution ofthedemandinthedecisionprocess.Therefore,weintroduceastochasticdynamic
programmingformulationoftheproblemthatallowsusto find anoptimalpolicyinsmallsizeinstances.
Finally,wedesignandimplementamatheuristicapproach,integratingarolloutalgorithmandan
optimal solutionofmixed-integerlinearprogrammingmodels,whichisabletosolverealisticsize
problem instances.Computationalresultsallowustoprovidemanagerialinsightsconcerningthe
management ofstochasticdemand.
WestudyanInventoryRoutingProbleminwhichthesupplierhasalimitedproductioncapacityandthestochastic demandoftheretailersissatisfied withprocurementoftransportationservices.Theaimistominimize thetotalexpectedcostoveraplanninghorizon,givenbythesumoftheinventorycostatthesupplier,theinventorycostattheretailers,thepenaltycostforstock-outattheretailersandthetransportation cost.First,weshowthatapolicybasedjustontheaveragedemandcanhaveatotalexpectedcostinfinitelyworsethantheoneobtainedbytakingintoaccounttheoverallprobabilitydistribution ofthedemandinthedecisionprocess.Therefore,weintroduceastochasticdynamicprogrammingformulationoftheproblemthatallowsusto find anoptimalpolicyinsmallsizeinstances.Finally,wedesignandimplementamatheuristicapproach,integratingarolloutalgorithmandanoptimal solutionofmixed-integerlinearprogrammingmodels,whichisabletosolverealisticsizeproblem instances.Computationalresultsallowustoprovidemanagerialinsightsconcerningthemanagement ofstochasticdemand.
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westudyaninventoryroutingprobleminwhichthesupplierhasalimitedproductioncapacityandthe
Stochastic demandoftheretailersissatisfied withprocurementoftransportationservices . theaimisto thetotalexpectedcostoveraplanninghorizon givenbythesumoftheinventorycostatthe
ลด , ผู้ผลิต , theinventorycostattheretailers thepenaltycostforstock , outattheretailersandthe
ต้นทุนการขนส่ง แรกweshowthatapolicybasedjustontheaveragedemandcanhaveatotal
ofthedemandinthedecisionprocess expectedcostinfinitelyworsethantheoneobtainedbytakingintoaccounttheoverallprobability กระจาย ดังนั้น weintroduceastochasticdynamic
programmingformulationoftheproblemthatallowsusto หา anoptimalpolicyinsmallsizeinstances .
ในที่สุด wedesignandimplementamatheuristicapproach , ,integratingarolloutalgorithmandan เหมาะสม solutionofmixed integerlinearprogrammingmodels
,
whichisabletosolverealisticsize กรณีปัญหา ofstochasticdemand การจัดการ computationalresultsallowustoprovidemanagerialinsightsconcerningthe
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