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1、外文翻譯原文GeicAlgithmsftheVehicleRoutingProblemwithTimeWindowsMaterialSource:SpecialissueonBioinfmaticsGeicAlgithmsAuth:OlliBrysy1IntroductionVehicleRoutingProblems(VRP)areallaroundusinthesensethatmanyconsumerproductssuchass
2、oftdrinksbeerbreadsnackfoodsgasolinepharmaceuticalsaredeliveredtoretailoutletsbyafleetoftruckswhoseoperationfitsthevehicleroutingmodel.InpracticetheVRPhasbeenrecognizedasoneofthegreatsuccessstiesofoperationsresearchithas
3、beenstudiedwidelysincethelatefifties.Publicservicescanalsotakeadvantageofthesesystemsindertoimprovetheirlogisticschain.Garbagecollectiontowncleaningtakesaneverincreasingpartofthebudgetoflocalauthities.Atypicalvehiclerout
4、ingproblemcanbedescribedastheproblemofdesigningleastcostroutesfromonedepottoasetofgeographicallyscatteredpoints(citiessteswarehousesschoolscustomersetc).Theroutesmustbedesignedinsuchawaythateachpointisvisitedonlyoncebyex
5、actlyonevehicleallroutesstartendatthedepotthetotaldemsofallpointsononeroutemustnotexceedthecapacityofthevehicle.TheVehicleRoutingProblemwithTimeWindows(VRPTW)isageneralizationoftheVRPinvolvingtheaddedcomplexitythateveryc
6、ustomershouldbeservedwithinagiventimewindow.AdditionalcomplexitiesencounteredintheVRPTWarelengthofrouteconstraintarisingfromdepottimewindowscostofwaitingtimewhichisincurredwhenavehiclearrivestooearlyatacustomerlocation.S
7、pecificexamplesofproblemswithtimewindowsincludebankdeliveriespostaldeliveriesindustrialrefusecollectionschoolbusroutingsituationswherethecustomermustprovideaccessverificationpaymentupondeliveryoftheproductservice[Solomon
8、Desrosiers1988].Besidesbeingoneofthemostimptantproblemsofoperationsresearchinpracticaltermsthevehicleroutingproblemisalsooneofthemostdifficultproblemstosolve.Itisquiteclosetooneofthemostfamouscombinatialoptimizationprobl
9、emstheTravelingSalespersonProblem(TSP)whereonlyoneinvehicleroutingcontext.Inallotherapproachesfvehicleroutingproblemwithtimewindowstheencodingissueisdisregarded.3Applicationsfvehicleroutingproblemwithtimewindows[Thangiah
10、1995]describesamethodcalledGIDEONthatassignscustomerstovehiclesbypartitioningthecustomersintosectsbygeicalgithmcustomerswithineachfmedsectareroutedusingthecheapestionmethodof[GoldenStewart1985].Inthenextsteptheroutesarei
11、mprovedusingλexchangesintroducedby[Osman1993].Thetwoprocessesareruniterativelyafinitenumberoftimestoimprovethesolutionquality.Thesearchbeginsbyclusteringcustomerseitheraccdingtotheirpolarcodinateangleromly.Theproposedsea
12、rchstrategyacceptsalsoinfeasibilitiesduringthesearchagainstcertainpenaltyfacts.IntheGIDEONsystemeachchromosomerepresentsasetofpossibleclusteringschemesthefitnessvaluesarebasedoncrespondingroutingcosts.Thecrossoveroperate
13、xchangesaromlyedptionofthebitstringbetweenthechromosomesmutationisusedwithaverylowprobabilitytoromlychangethebitvalues.[PotvinBengio1996]proposeageicalgithmGENEROUSthatdirectlyappliesgeicoperatstosolutionsthusavoidingthe
14、codingissues.Theinitialpopulationiscreatedwithcheapestionheuristicof[Solomon1987]thefitnessvaluesoftheproposedapproacharebasedonthenumberofvehiclestotalroutetime.Theionprocessisstochasticbiasedtowardthebestsolutions.Fthi
15、spurposealinearrankingschemeisused.Duringtherecombinationphasetwoparentsolutionsaremergedintoasingleonesoastoguaranteethefeasibilityofthenewsolution.Twotypesofcrossoveroperatsareusedtomodifyaromlyedroutetoarouteintotheot
16、herparentsolution.Aspecialrepairoperatisthenappliedtotheoffspringtogenerateanewfeasiblesolution.Mutationoperatsareaimedatreducingthenumberofroutes.Finallyindertolocallyoptimizethesolutionmutationoperatbasedonoptexchanges
17、[1976]isincluded.[Bergeretal.1998]proposeamethodbasedonthehybridizationofageicalgithmwithwellknownconstructionheuristics.Theauthsomitthecodingissuesrepresentasolutionbyasetoffeasibleroutes.Theinitialpopulationiscreatedwi
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