制造_再制造集成物流网络设施选址模型及算法(57)

14320096IndustrialEngineeringandManagementVol.14No.3Jun.2009:100725429(2009)0320070208:2008206210;:2008209220:(70472033):(19812),,,,/(,210096):/:,,,,(MINLP),:;/;;;:F273:AAFacility2locationModelforanIntegratedManufacturing/RemanufacturingLogisticsNetworkandAlgorithmSUNHao(SchoolofEconomicsandManagement,SoutheastUniversity,Nanjing210096,China)Abstract:Firstlyanintegratedmanufacturing/remanufacturinglogisticsnetworkisconstructed,inwhichthestructuresofboththeforwardandthereverselogisticsareoftwo2level;andallthelogisticsfacilitiesarecapacitated.Itisalsoassumedthatremanufacturingproductsandnewproductsarehomogeneousandbothcanbesatisfiedthedemandsofcustomers.Onsuchabasis,amixed2integernon2linearprogramming(MINLP)modelisbuilt.Thenahybridheuristicalgorithm(HHA)isproposedtosolvethemodel,whichusesthetabusearchalgorithmtoestablishthebinaryvariablesandageneticalgorithmbasedonpriorityweightcodingtosolvemulti2stagetransportationproblem.Finallythevalidityofboththemodelandthealgorithmsisillustratedbyanexample.Keywords:reverselogistics;manufacturing/remanufacturing;tabusearchalgorithm;geneticalgorithm;priorityweightcoding1(Remanufacturing),,,,,,[1]:(collection)(inspection/separation)(remanufacturing)(disposal)(redistribution),073[2],(),,[3,4][5],,/,2005[6],,2006/[7],,/(MINLP),OvidiuListe2007,,,,Lagrangian,,[8],MariaIsabel,GomesSalema,,[9][6,8,9]ZhiqiangLuNathalieBostel2007[10],,MILP,,Lagrangian,[10],,,MINLP,,1/,,,;,,1,,,,:(),(),(),1/1.1,(1),(2)3,3,,(3),(4),(5)()1714:/(),(6),(7),,,,(8),,1.2(1)jJ={1,2,,m},;kK={1,2,,p},;iI={1,2,,n};FujFRujj,,u=1,2,3FPvkFHvkk,v=1,2,3u;didrii;cpjcmjj;cptkchtkk()k();lkjjk;likki;E1E2;ccdcrd();(,11),()();MujMRujju;MPvkMHvkkv;jj;kk(2)Yuj01,ju1,0;YRuj01,ju1,0;3u=1Yuj=13u=1YRuj=1j;YPvk01,kv1,0;YHvk01,kv1,0;3v=1YPvk=13v=1YHvk=1k;Xikjjkii;XRikjikji1.3minf=jJFjYj+jJFRjYRj+kKFPkYPk+kKFHkYHk-jJjYjYRj(Fj+FRj)-kKkYPkYHk(FPk+FHk)+jJkKiIcikjdiXikj+iIkKjJcrikjdriXRikj(1)s.t.jJkKXikj=1PiI(2)jJkKXRikj=1PiI(3)3u=1Yuj1PjJ(4)3u=1YRuj1PjJ(5)3v=1YPvk1PkK(6)3v=1YHvk1PkK(7)273jJ3u=1YujP(8)jJ3v=1YRvjQ(9)kKiIdiXikj(1-)(1-)kKiIdriXRikjPjJ(10)Xikj3v=1YPvkPiI,PjJ,PkK(11)XRikj3v=1YHvkPiI,PjJ,PkK(12)(1-)XRikj3u=1YRujPiI,PjJ,PkK(13)kKiIdiXikj-(1-)(1-)kKiIdriXRikj3u=1YujMujPjJ(14)jJiIdiXikj3v=1YPvkMPvkPkK(15)jJiIdriXRikj3v=1YHvkMHvkPkK(16)kKiI(1-)driXRikj3u=1YRujMRujPjJ(17)cikj=E1ljk+cpj+cptk+E1lki(18)crikj=E2lik+chtk(1-)+ccd+E2ljk(1-)+cmj(1-)(1-)+crd(1-)-(1-)(1-)cpj(19)Yuj,YRuj,YPvk,YHvk=0,1(u=1,2,3;v=1,2,3)PjJ,PkK(20)0Xikj,XRikj1PiI,PjJ,PkK(21),MINLP,(1),(2)(3)(4)(5)j(6)(7)k(8)(9)(10)j,:,0,,;,,;,,jXPj=kKiIdiXikj-(1-)(1-)kKiIdriXRikj0(11)(14)0-1(Yuj,YRuj,YPvk,YHvk)(Xikj,XRikj)(11)(12):k,0;k,0(13);(14)j,;(15)(17),k,j(18)(19)(20)Yuj,YRuj,YPvk,YHvk01;(21)Xikj,XRikj2,Gen,[11212],[13][14]2.1[13]K={1,,k};J={1,,j}3714:/:ckjkj,akk;bjj;v(k+j),gkjkj,v(k+j)(1)gkj=0{kK,jJ};(2)v(k+j),l=max{v(t),t=1,,k+l};(3)lK,k3=l,j3min{ckjv(j)0,jJ};lJ,j3=l,k3min{ckjv(k)0,kK};(4)gk3j3=min{ak3,bj3},gk3j3,k3j3ak3=ak3-gk3j3,bj3=bj3-gk3j3(5)ak3=0,v(k3)=0;bj3=0,v(j3)=0;(6),34,,,2cij=12341231119171816141815151619131234567v(k+j)253741622.2:,WMX[13],,3WMX:,43NP2hard,()[13214],,,:,,,3.1Yuj,YRuj,YPvk,YHvk,:[Y1YmYR1YRmYP1YPpYH1YHp],Yj=maxu{Yuju},YRj=maxu{YRuju}YPk=maxv{YPvkv},YHk=maxv{YHvkv}34[30210210232001],:,1,2,3;,1473,2,3,43.2,4(1)jJkKiIdiXikj-(1-)(1-)kKiIdriXRikjjJ3u=1YujMuj(22)(2)jJkKiI(1-)driXRikjjJ3u=1YRujMuj(23)(3)kKjJiIdiXikjkK3v=1YPvkMPvk(24)(4)kKjJiIdriXRikjkK3v=1YHvkMHvk(25),/:,4,:,,,,,(,,,,,,),2,2,32,35/WMX,,3.3,q,,(1):0,1,23;,PQ,01,23,0,(2):0,0(3):12,2(3)3(4):23,12(1)(5):,,01,t10,t3.4,,f,ffbest,3.5M,,5714:/3.6,,Gen[11212],Glover,[15],[16]4/,3()3()3131ididri14014(12.6,49.8)25016(53.7,9.4)33012(7.9,35.4)44516(40.7,31.7)54819(23.8,19.6)65523(34.9,26.8)2j3jMj3/MRj3Mj2/MRj2Mj1/MRj11170/46120/3195/25(24.2,64.8)2150/47110/3680/29(43.9,11.7)3160/42120/3185/21(36.5,38.6)3k3kMP3k/MH3kMP2k/MH2kMP1k/MH1k190/3570/2840/17(22.3,31.2)2100/4280/3260/23(38.6,11.2)395/3675/2655/18(16.1,42.5)4110/4080/2870/24(44.5,27.2):E1=0.2,E2=0.16,=0.3,=0.2,cpj=6,cmj=2.4,cptk=1.5,chtk=1.8ccd=0.5,crd=0.6,j=0.1,k=0.1,P=2,Q=2:Fuj=400+3MujFRuj=300+3MRuj(u=1,2,3)FPvk=150+3MPvkFHvk=170+3MHvk(v=1,2,3)VB6.0HHA,Pentium42.4G512M,:M=30,t=2,q=1,2:popsize=20,Maxgen=200,Pc=0.6,Pm=0.2,50,7183.9,464Y11Y32YR11YR32YP32YP33YP24YH32YH13YH3411111111115X131X222X322X442X531X622X642111110.36363640.63636366XR131XR222XR242XR332XR442XR522XR522XR641XR64210.93750.0625110.789470.210530.645960.354041,2;2,3,4,56,Lingo(Tabu+GA)7,Tabu+GAlingo,,,,,,,6737346468Lingo26237183.97183.947389164.79164.7GA2567291.27427.86549289.39452.5Tabu+GA4357183.97275.49189175.69296.25/,,,,,:[1]FleischmannM,Bloemhof2RuwaardJM,DekkerR.Invitedreview,quantitativemodelsforreverselogistics:areview.EuropeanJournalofOperationalResearch,1997,103(1):1217.[2].[J].,2004,(2):39241.[3],,.[J].,2004,2(2):53258.[4]KrikkeHR,VanHartenA,SchuurPC.Businesscaseoce:reverselogisticnetworkre2designforcopiers[J].ORSpectrum,1999,21(3):3812409.[5]MarinA,PelegrinB.Thereturnplantlocationproblem:modelingandresolution[J].EuropeanJournalofOperationalResearch,1998,104(2)