VRP的数学模型及算法分析

©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.:(19722),,,,::167424578(2010)0120059202VRP(,030032):,(VRP),,:(VRP);;;:N945.12:TP311.11:A0,,,,,,,,,,VehicleRoutingProblem,VRP,:,,,(),()[1]1VRPVRP()DantzigRamser1959,,,:,VRP[2](1).VRP,(2),:();,,::(3).,,,,VRPVRP(4),,:(1),;(2).,;(3)()(5),,:;,;,.;(6)VRP::;;;;2:,migi(i=1,2,3,m),qnn,giqn,,,,:(1);(2);(3)©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(4);(5),ab,,,,:,,;,,0,i(i=1,2,,h),s(s=1,2,,k),,,,,,:minD=6hi=06hj=06ks=1cijxijs.(1)6hi=0xijs=yjs,j=1,2,,h;Ps.(2)6hj=0xijs=yis,i=1,2,,h;Ps.(3)6hi=0giyisqs,Ps.(4)6ks=1yis=1i=1,2,,hki=0.(5):(1),cijij,xijssij,1,0;(2)(3),yjsis1,0,sj,(j)s()i,sij,sis,si;(4),qss,;(5),k3VRPVRP,,VRP,,,,:3.1[3],:,,,VRP,,,,,3.2[4],VRPNP,,,,,,VRP,,,3.3[5],,,,,VRP,VRP:(1),,,,,VRP(2),,,VRP,,VRP(3),(71)062010©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[1].[J].,2009(8):98-101.[2].VPN[J].,2009(4):798-799.[3].IPSecVPNSSLVPN[J].,2009(4):825-827.[4].SSLVPN[J].,2008(8):46.AnalysisontheApplicationofVPNTechnologyintheCollegeMediaAssetManagementSystemJiaPeng2cheng(DepartmentofInformationTechnology,CommunicationUniversityofChinaNanjing,NanjingJiangsu211172,China)Abstract:Collegesmediaassetmanagementsystemtakesmultimediadataofcollegesasthemanagementobjects.Itprovidesserviceforthewholeteachersandstudents,andthenetworkcoverstheentirecampusmultimedianetworkmanagementsystem.Inordertosolvetheproblemthatteachersandstudentsthatinoff2campuscanremotelyusethemultimediaresourcesoncampus,thispaperex2ploresasuitablecollegeVPNtransmissionmodetoaccesscollegesmultimediadatabycomparingwithtwokindsofVPNtechnologiesthatisSSLandIPSEC.Keywords:SSLprotocol;IPSECprotocol;campussafety;multimedia(60),,,,(4)[6],,,,VRP,4VRP,,,,,[1]BodinL,GoldenBD,LAssadA,etal.RoutingsChed2ulingofVehicleandCrews:theStatesArt[J].Computer&OpertionsResearch,1983(10):7-10.[2].[J].,2009(4):26.[3],,.[J].,2007(1):93-94.[4].VRP[J].,2007(7):225.[5],,.[J].,2006(11):31-33.[6].[D].:(),2005.StudyontheModelandAlgorithmforVehicleRoutingProblemNieYan2fang(TaiyuanVocationalInstituteofTourism,TaiyuanShanxi030032,China)Abstract:Inrecentyears,withtherapiddevelopmentoflogisticsinourcountry,vehicleroutingplanninghasbecomemoreandmoreimportantforreducinglogisticscosts.ThispaperproposesamathematicalmodelingforVRPandsummarizestheresearchsituationathomeandabroad,pointsoutthedirectionforfutureresearch.Keywords:vehicleroutingproblem;exactalgorithms;heuristicalgorithm;meta2heuristicalgorithm171:VPN