产品回收处理策略优化的0_1型目标规划模型-产品回收处理

200433:100026788(2004)03200522060211,2(1.,200433,2.,430074):,;,;,,,021,PC,L:;;;021;:F406.72:A021Goal2ProgrammingModelonProducts’RecoveryProcessingPoliciesXIEJia2ping1,CHENRong2qiu2(1.InternationalManagementforBusinessSchool,ShanghaiUniversityofFinanceEconomics,Shanghai200433,China;2.ManagementSchool,HuazhongUniversityofScienceTechnology,Wuhai430074,China)Abstract:Thepaperdiscussesdrawingrulesaboutthedisassemblytreeofproductindetail.Thearithmeticofdisassemblycostisputforward.Andthecost2benefitsofcomponents’reusing,materials’recycling,safetydisposingaredissertatedbasedontheactivity2basedcosting.Suchrestrictionsareerectedasthetotalquantityofproductsrecovered,thedemandquantityofcomponentsreused,disas2semblycapability,remanufactoringcapability,andsmashing&assortingcapability.Therefore,thesegoalrestrictionsareanalyzedqualtitativelyasmaximizingrueselucre,maximizingrecyclelucre,mini2mizingburyingcost,maximizingnetrecoverylucre,maximizingthecomponentsortsrecyclable.Thenthe021goal2programmingmodelonproductrecoveryprocessingisestablished,withcomponents’demo2tioncalculated.Inaddition,takingthePC’srecoveryprocessingforexample,itisputintoapplicationpractically.Keywords:disassembly;recovery;benefitanalysis;021programming;goalprogramming:2003203217:(7032001):(1963-),,,,,,Email:[e-mail];(1942-),,,,12090,,,L,,,,L,2,L,,L,,L2,[1,2]L,,,,,,,L,,L,,;,;,;,;,L,,L,Veerakamolmaletal.(1998)[3](IP),Kongaretal.(2000)[4](GP),L:1)[3],;[4]2,L2)L3),,,L4),021L021L2L,L,,,,()()L,L,,L,L,,,L,(DesignforDisassembly),,,L12.1,(BillofMaterials)(DisassemblyTree)[3],1L,,L[5]:(),,L(),LL,L,,L,,L,,L,,Li,j,AijZij,l,AijlZ353021i,,SiP;(),SiAZSiPSiASiZ1SiP={A31,A32,A41,A42,A43,A51,A52,A6,A7},SiA={A1,A2},Si=SiPSiAZ2.2;,Z,,,ZjDj,Dj0,j;Dj=0,Z021,AijlXijlYijl:Xijl=1Aijl;0ZYijl=1Aijl;0Z,,,,,Zijl:Zijl=1Aijl;0Z,Aijl,max{Xijl,Zijl}=1,;,max{Xijl,Zijl}=0ZiniXijlniXi,ZijlniZiZi,XiZi[6]nidi,di=XiZiZdi1;,ZAfki,Aijl,Aijl,AfkiZ,i[6]Ridi,niIDi,IDi=RidiZIDi1;,ZAfkiAijltd(Aijl)cd(Aijl),cd(Aijl)Cdi,IDi,[5]Ci:Ci=CidIDi=6AijlSi(cd(Aijl)õID(Aijl))3,:,:[7].,,ZjRpj(ö),Ctj(ö),Cpj(ö),Wj(kg),RPj,Rmj(ökg),Cmj(ökg),DIj(0FDIjF10),CL(ökg)Z,j,Kj(15),t(t=1),Pj(t)=e-KjtZ1,1781112Z,:1)PC100,PCCi=55ö;2)Cd=0.55ömin,13,:td(A1)=10mintd(A2)=452004315min,Td=5h;3)jAPj,:AP3=200AP4=200AP5=100AP6=150AP7=100;4)jWjRPj1910,AR=600kg;5)jDIj113,CL=0.10ökg;6)Z1j(td(Aijl)QjKjDjRpjCpjWjRPjRmjCmjDIj(1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)A31Xi31,Yi315A32Xi32,Yi321020.019020.005.003.000.6515.0010.006.00A41Xi41,Yi4120A42Xi42,Yi422030.215015.0030.001.500.6025.0020.005.00A43Xi43,Yi430A51Xi51,Yi512A52Xi52,Yi52020.350.0015.001.000.2010.0015.009.00A6Xi6,Yi6510.0100100.0070.000.150.2010.0015.006.00A7Xi7,Yi7510.120.0010.000.500.3010.0015.009.00,:P1;P2Z,,021[8]Z44.11)Z(),,6i6l(Xijl+(1-Xijl)õYijl)F6iQij2)ZjZ6i6lXijlFDjjvDjE03)Z,6i6AijlSi(td(Aijl)õID(Aijl))FTd4)Z,j,6i6lXijlFAPjjvDjE05)Z,,6i6jWjõRPjõ6l(1-Xijl)õYijlFAR6)021Z10,Xijl,Yijl,Zijl=10,RPj0Dj=0,Xijl=0;RDj0,Yijl=0Z5530214.2,Z,kd+k,d-k,d+kd-kE0Zd+kk;d-kkZ:1)ZXijl=1Aijl,,,CtjXijl;,,CpjPj(t)Xijl;RPjPj(t)Xijl;WjPj(t)Xijl,CLDIjWjPj(t)XijlZ,PDj=(Rpj-Cpj+CLDIjWj)E0,j,:6i6jvDj0&PDjE0((Rpj-Cpj+CLõDIjõWj)õPj(t)-Ctj)õ6lXijl-6i6AijlSi(cd(Aijl)õID(Aijl))+d-1-d+1=R32)Z,,ZXijl=1,j1-Pj(t);Xijl=0,,(1-Xijl)+(1-Pj(t))Xijl0Z,jCmjWjRPj;RmjWjRPj;CLDIjWjRPjZ,RDj=(Rmj-Cmj+CLDIj)E0,,:6i6jvRDjE0((Rmj-Cmj+CLõDIj)õWjõRPjõ6l((1-Pj(t)õXijl)õYijl))+d-2-d+2=R33)ZDj0PDjE0,j,Wj(1-Pj(t))XijlZRDjE0,j,Wj(1-RPj)(1-Xijl)Yijl;Dj=0PDj0RDj0,j,:CLõ6i6jvDj0&PDjE0(DIjõWjõ(1-Pj(t))õ6lXijl+6jvRDjE0(DIjõWjõ(1-RPj)õ6l(1-Xijl)Yijl)+6jv(PDj0orDj=0)&RDj0(DIjõWjõ6l(1-Xijl)(1-Yijl)))+d-3-d+3=C34)Z=-,i:Ri=Ri+Ri-Ci-CiZ,Rii;Ri;Ci,;CiiZ6i(Ri+Ri-Ci-Ci)+d-4-d+4=R35)Z,,:6i6j6lYijl+d-5-d+5=NR355.1,Pkwk[9]Z,P1:,w1w2w4,minZ=P1(w1d-1+w2d-2+w4d-4)6520043P2:,w3w5,minZ=P2(w3d+3+w5d-5):minZ=P1(w1d-1+w2d-2+w4d-4)+P2(w3d+3+w5d-5)5.2021021,,(maxR),(X;Y)021Z:maxR=6i(Ri+Ri-Ci-Ci)1,D5=D7=0PD40,Xi41=Xi42=Xi43=Xi51=Xi52=Xi7=0;Xi31,Xi32,Xi6=01ZRD50,RD60,RD70,Yi51=Yi52=Yi6=Yi7=0;Yi31,Yi32,Yi41,Yi42,Yi43=01Z:100PC,90A31A32A610A31A6,10A32100A41A42A43,,(378.90)Z,4606.00,1594.20,321.30,310Z5.3021,,Z,R3=4000.00,R3=2000.00,R3=340.00;,C3=350.00,NR3=345Zw1w2w4,w3w5,021,52A31A32A648A31A6,48A32100A41A42A43,,,:4176.60,2009.16,340.52,345.24,348Z6:A51A52A6A7,,,ZZA41A42A43,,,,Z,ABC,021Z,,Z:[1]ChenRW,ChandraDNandPrinzFB.Acost2benefitanalysismodelofproductdesignforrecyclabilityanditsap2plication[J].IEEETransonManufacturingTechnology,partA,1994,17(4):67-87.[2],,.[J].,2003,25(2):44-49.[3]VeerakamolmalP,GuptaSM.Optimalanalysisoflotsizebalancingformulti2productsselectivedisassembly[J].IntJofFlexibleAutomationandIntegratedManufacturing,1998,6(3ö4):245-269.[4]KongarE,GuptaSM.Agoalprogrammingapproachtotheremanufacturingsupplychainmodel[A].ProceedingsoftheSPIEInternationalConferenceonEnvironmentallyConsciousManufacturing[C],2000,4193:167-178.[5],.[J].,2003,31(5):92-94[6],.[M].:,1996.[7],.2[J].,2003,17(1):25-28[8].[R],:,2003.99-103[9]..[M].:,1998.63-65.753021