基于Matlab优化算法的物流中心选址

:2005-05-12:(200136):(1966-),,,,.26320065()JournalofChang'anUniversity(NaturalScienceEdition)Vol.26No.3May2006:1671-8879(2006)03-0076-04Matlab1,1,1,1,2(1.,710064;2.,233011):Matlab。,,Matlab“fmincon”,,,。,Matlab,,,,。:;;;;:U492.3:ALogisticsCenterLocationBasedonMatlabOptimizationAlgorithmLIWei-jiang1,GUOXiao-fen1,ZHANGYi1,GONGYan-cheng1,2(1.SchoolofAutomobile,Chang’anUniversity,Xi’an710064,Shaanxi,China;2.DepartmentofVehicleManagement,BengbuAutomobileManagementCollege,Bengbu233011,Anhui,China)Abstract:Thispaperstudiedthealgorithmoflogisticscenterlocationproblemswithtimerestric-tionsbyMatlaboptimizationfunction.Alocationmodelwithtimerestrictionswasdeveloped,anexactalgorithmbasedonthe‘fmincon’functioninMatlaboptimizationtoolboxwasputforwardtosolvethemodel,andanexamplewascalculatedtoverifythemodelandalgorithm.Theresultsindicatethatthisalgorithmissimpletobeprogrammedandquicktobecalculated,itnotonlycansolvethelocationproblemswithtimerestrictions,butalsocansolvethetraditionallocationprob-lemswithouttimerestrictions.Sothenewalgorithmismoreeffectivethanthegravityapproachinsolvingthelogisticscenterlocationproblems.3tabs,9refs.Keywords:trafficengineering;logisticscenter;locationmodel;timerestrictions;optimizational-gorithm0,,。,,、。,,。()[12],,、。,Matlab,,。1[3]:①,;②;③。:n,j(xj,yj),wj,Dj。(X,Y),,。minΣnj=1wj(X-xj)2+(Y-yj)ヘ2(1)(X-xj)2+(Y-yj)ヘ2-Dj≤0,j=1,2,…,n(2),(1),;(2),。(1)、(2),。22.1(2),(1),,。,(1)Xk+1=Σnj=1wjxkjdkjΣnj=1wjdkj(3)Yk+1=Σnj=1wjykjdkjΣnj=1wjdkj(4)dk+1j=(X-xkj)2+(Y-ykj)ヘ2,j=1,2,…,n(5):k;Xkk;Ykk;dkjkj。dk+1jX、Y,(X,Y),。d0j=1(3)、(4)X0、Y0;X0、Y0(5)d1j;d1j(3)、(4)X1、Y1;,(Xk,Yk)(Xk+1,Yk+1)。,(Xk+1,Yk+1)。,[X0,Y0],,[4]。,,(2),。,。2.2Matlab(1)、(2),,Matlab。Matlabfmincon(),。fmincon()[5]minf(x)c(x)≤0ceq(x)=0%.≤,%eq.=,eq/b≤.≤0b:.、,、,eq、/b、0b;%、%eq;c(x)、ceq(x)。fmincon(),f(x)=Σnj=1wj(X-xj)2+(Y-yj)ヘ2(6)ci(x)=(X-xj)2+(Y-yj)ヘ2-Dj,j=1,2,…,n(7)/b=[min{xj},min{yj}]T,j=1,2,…,n(8)0b=[max{xj},max{yj}]T,j=1,2,…,n(9),773,:Matlab%=[],,=[],%eq=[],,eq=[]。fmincon()[.,fval]=fmincon(0fun,x0,%,,,%eq,,eq,/b,0b,0con)。:.;fval,;funMmtlabM;conMatlabM[6];/b、0b;%、,、%eq、,eq。x0。fmincon(),。,,。x0=min{xj}+max{xj}[]2,j=1,2,…,n(10)y0=min{yj}+max{yj}[]2,j=1,2,…,n(11)Mfmincon(),Matlab,[X,Y]。,,[79]。0con,fmincon(),。,fmincon()Matlab,Matlab。,fmincon(),,,。35,1。①,;②35km。。(1)①。(3)、(4)、(5),0.01。8,:[22.80km,22.56km],27819t/km。2。1/km/km/t13082002611300312652504562810054539150212345/km16.2420.3943.7933.6427.62/(t·km)324861171094733644143(2)②Matlab。Matlab,x(1),x(2)。:①MatlabMfun.m,,functionf=myfun(x)f=200*sqrt((x(1)-30)∧2+(x(2)-8)∧2)+300*sqrt((x(1)-6)∧2+(x(2)-11)∧2)…+250*sqrt((x(1)-12)∧2+(x(2)-65)∧2)+100*sqrt((x(1)-56)∧2+(x(2)-28)∧2)…+150*sqrt((x(1)-45)∧2+(x(2)-39)∧2)②Mcon.m,function[c,ceq]=con(x)c(1)=sqrt((x(1)-30)∧2+(x(2)-8)∧2)-35c(2)=sqrt((x(1)-6)∧2+(x(2)-11)∧2)-35c(3)=sqrt((x(1)-12)∧2+(x(2)-65)∧2)-35c(4)=sqrt((x(1)-56)∧2+(x(2)-28)∧2)-35c(5)=sqrt((x(1)-45)∧2+(x(2)-39)∧2)-35③x0=[31,36.5],.0b=[6,8]T,/b=[56,65]T。④Matlabfmincon()[.,fval]=fmincon(0fun,x0,[],[],[],[],/b,0b,0con)⑤。x(1)=22.22km,x(2)=31.53km,fval=28546t/km,3。87()2006312345/km24.7826.1635.0033.9623.97/(t·km)49567848875033963596,,(3%),,,,。4(1),。(2),Matlabfmincon()。(3)fmincon(),,,。:References:[1],,.[M].:,2001.ZHUDao-li,GONGGuo-hua,LUOQi.LogisticsandSupplyChainManagement[M].Shanghai:FudanUniversityPress,2001.[2]RonaldHB.BusinessLogisticsManagement[M].NewJersey:Prentice-hallPress,1999.[3].---[M].:,2003.CAILin-lin.LogisticsSystemPlanning-modelingandInstanceAnalyse[M].Beijing:ChinaMachineryIn-dustryPress,2003.[4],,,.[J].,2003.16(2):123126.GONGYan-cheng,GUOXiao-fen,CAITuan-jie,etal.ResearchontheChoosingModelofPhysicalDis-trabutionSitesandItsArithmetic[J].ChinaJournalofHighwayandTransport,2003.16(2):123126.[5],.Matlab6.1[M].:,2002.SUJin-ming,RUANShen-yong.Matlab6.1PracticalGuide[M].Beijing:ElectronicsIndustryPress,2002.[6].Matlab[M].:,2001.YunzhouOperatingRoom.MatlabMathematicsMod-elingBasicStudyCourse[M].Beijing:People’sPostsandTelecomPress,2001.[7],.[J].,2003,3(2):6568.ZHANGPei-lin,WEIQiao-yun.LogisticsDistribu-tionCenterAllocationModelandElicitationAlgorithm[J].JournalofTrafficandTransportationEngineer-ing,2003,3(2):6568.[8],.[J].,2004,21(1):5054.DINGHao,LIDian-sheng.StudyoftheSiteSelectionMethodofCityDistributionCenter[J].JournalofHuazhongUniversityofScienceandTechnology,2004,21(1):6568.[9],.Dijkstra[J].:,2005,25(6):6265.ZHANGWei-jun,WANGHua.OptiminationDijkstraArithmeticforShortestPathofUrbanTrafficNet[J].JournalofChang’anUniversity:NaturalScienceEdi-tion,2005,25(6):==============================================================================================================================99996265.,,,。,,,。,64km。,。。,24km。,,,。,。,6,511,、。973,:Matlab