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3611200611MATHEMATICSINPRACTICEANDTHEORYVol.36No.11Nove.,2006-李 建1, 闫光辉2, 戴 明3(1.,210031)(2.,300222)(3.,100011):-,,,.-,.,.,,,.:;-;;1:2006-07-11:(KJ06029),,,-.[1,2],-.-:1)-,,,,;2),-,;3),,,;4),[3],,,,,.,,NP-Hard,.,,.[3],,;[4],;[5][6],;[7],,.-,,.2-:,,;,,,.:1);2);3);4);5),,.I:;I0:(0);m:;t:t;T:;:;cij:ij,i,jI0;L:;M:,,M0;Vi:i;F:;Di:im;C:;xijtk:,k()tij,,xijtk1,,0;K:;yit:it,1,0;fi:im;Qi:i,qi=Qi-intQiCC,int[z]z.min1m(iI0jI0tTkKcijxijtk+jI0tTkKMx0jtk+iIintQiCM+iI2c0iintQiC(1)tTyit=fi,iI;fiF(2)t+mfir=t+1yir=1,t=0,1,,m-mfi,iI;fiF(3)18436iI0jI0qixijtkC,tT;kK,(4)Li=0xirtk-Lj=0xhjtk=0,rI0;tT;kK(5)Lj=0xrjtk1,r=0;tT;kK(6)QiVi,iI(7)Uik-Ujk+LXijtkL-1,i,jL;tT;kK(8)xijtk=01,i,j=0,1,,L;tT;kK(9)yit=01,i=0,1,,L;tT(10)Uik0,iL,kK(11)(1),,,,;(2);(3)mfi,;(4);(5);(6);(7);(8);(9)xijtk;(10)yit;(11)Uik.3,,,+[8].,,,,,,.-:1);2);3).,,,,(VRP).,,,,.,,,,.3.1intViDi/m,1,intViDi/m.,10,1,[1,10].18511,:-3.2:,.,,,,,,,,.,k,,.,,,.Z0.Z0=1m(iI0jI0tIkKcijxijtk+jI0tIkKMx0jtk+iIintQiCM+iI2c0iintQiC:,.,,,,,,,.:,1,intViDi/m.,.3.3:.:,.,,.1-01-1.1-0,.1-1,.2-Opt.2-Opt,..:[9],,,.,1.11-0(Rj,i,Ri)1-1(Rj,i,Ri,j)2-opt(j,j+1,i,i+1):.,,337.:.:,,,.186364-,-.[3]-,-,:R[0,m],Srr,r=1,2,,R,(Sr)SrTSP,wriir,Qrr,Qr=iIwri.riSr,(Sr)+Fr2c0i+Fr,c0ii,FrCrr.Qr[(Sr)+Fr]=iSrwri((Sr)+Fr)iSrwri(2c0i+Fr)QrCr,(Sr)+FriSrwriCr(2c0i+Fr),[0,m],1mrR[(Sr)+Fr]1mrRiSrwriCr(2c0i+Fr)iNDi/mCr(2c0i+Fr),rR,FrCr.5:Solomn[12](CC115),,2:2123456789101112131415()3.40.83.91.93.21.42.22.13.52.31.81.62.71.51.3()1741999.67109.510.51096955:20,20,0.8,0.02;VRP:8,=1,()100/;300,30,37.VisualBasic6.0,PentiumIV1.6GHzPC10,3,m=54.3,,;,;,,15,26.3,4.4%,,,,.18711,:-351015()693.7681.0630.5()680.7670.6626.3553135113112111531231422152323344133443411331CPU()5914600.080.770.626.34m=5()010(2)8.0100.0%0308.0100.0%0508.0100.0%0908.0100.0%01514121107.897.5%01002.328.8%073507.593.8%0607.087.5%042106.986.3%0139807.391.3%01013151407.897.5%04781108.0100.0%01181306.682.5%0107406.480.0%012151406.075.0%0308.0100.0%0508.0100.0%0908.0100.0%010117507.998.8%0141513908.0100.0%084307.796.3%01181306.682.5%0471006.480.0%014151206.075.0%425,90%16,80%22,90.1%,.,,.5m=5.5,,,,m=5,1510,870%.188365m=51234567891011121314153.40.83.91.93.21.42.22.13.52.31.81.62.71.51.35531351131121111741999.67109.510.51096955007.37.1007.87.407.77.22.86.33.53.70%0%38%79%0%0%78%78%0%77%80%47%70%70%74%6-,0-1,,,-.,,,.,-.:[1],.-[J].,2001.5:911.[2]FlavioBaita,WalterUkovich,RaffaelePesenti,DanielaFavaretto.DynamicroutingandinventoryProblems:Areview[J].TranspnRes.-A,1998,32(8):585598.[3]Qiu-HongZhao,Shou-YangWang,LaiKK.Apartitionapproachtotheinventory/routingproblem[J].EuropeanJournalofOperationalResearch,2006,AvailableOnline23February.[4],.[J].,2004,39(1):3841.[5]DaganzoCY.Supplyingasinglelocationfromheterogeneoussources[J].TransportationResearch,1985,19:409419.[6]BertazziL,SperanzaMG,UkovichW.Minimizationoflogisticcostswithgivenfrequencies[J].TransportationResearch,1997,31:327340.[7]CampbellA,SavelsberghM.Adecompositionapproachfortheinventory-routingproblem[J].TransportationScience,2004,38(4):488502.[8],,.[J].-CIMS,2001,7(11):16.[9],.[M].:,1999.[10]OsmanH.Metastrategysimulatedannealingandtabusearchalgorithmsforthevehicleroutingproblem[J].AnnOpnsRes,1993,41:421451.[11]ChiangW-C,RussellRA.Ametaheuristicforthevehicle-routingproblemwithsofttimewindows[J].JournaloftheOperationalResearchSociety,2004,55:12981310.[12]SolomonMM.Algorithmsforvehicleroutingandschedulingproblemswithtimewindowconstraints[J].OpnsRes,1987,35:254265.18911,:-DesignofModelandHybridGeneticAlgorithmonThirdPartyInventoryRoutingProblemLIJian1,YANGuang-hui2,DAIMing3(1.CollegeofEngineering,NanjingAgriculturalUniversity,Nanjing210031,China)(2.DepartmentofAutomobileEngineering,TianjinUniversityofTechnologyandEducation,Tianjin300222,China)(3.ChinaTransportation&TelecommunicationsCenter,Beijing100011,China)Abstract:Accordingtothecharacterofthirdpartyinventoryroutingproblem,integerprogrammingmodeloftruckloadandless-than-truckloadtransportationisformulatedwiththesumofthefixedandvariableexpensesconsumedbyvehiclesinthedistributioncentreasobjectfunction,thequantityofdistributiontocustomersatatimenotrestrictedtobelessthanthecapacityofthevehicle.Aimedatthecomplexityofthirdpartyinventoryroutingproblem,ageneticalgorithmembeddedbytabusearchalgorithmisproposedtosolveproblemofmakingdecisionsforinventoryandroutingsimultaneously.Firstly,replenishmentintervaliscoded.Thenthevehicleroutingproblemthattakesplaceeverydayissolvedbytabusearchalgorithm.Lastly,comparedwiththelowerbound,theresultshowsthatageneticalgorithmembeddedbytabusearchalgorithmisasatisfactoryalgorithm.Bythisalgorithm,the3PLScansavealargeamountofcost,meanwhiletheloadratioofthevehiclescanbegreatlyimproved.Whatsmore,theroomofthecustomerswarehousescanalsobesavedmuch.Keywords:3PLS;inventoryrouting;geneticalgorithm;tabusearchalgorithm19036