协调供应链如何应对突发事件4562791503

200577:100026788(2005)07200092081,1,2(11,100084;21,,,):,,.:;;;:F406.7:AHowtoCoordinateSupplyChainunderDisruptionsYUHui1,CHENJian1,YUGang2(11SchoolofEconomicsandManagement,TsinghuaUniversity,Beijing100084,China;21McCombsschoolofBusiness,TheUniversityofTexasatAustin,Austin,USA)Abstract:Studytheimpactofdemanddisruptionsuponthesupplychaincoordinatedbyclassicalquantitydiscountcontract,givetheoptimalresponseofthesupplychainasawholetothedisruptions,andsupposethenewquantitydiscountcontractwhichhasanti2disruptionability.Keywords:disruptionmanagement;supplychain;coordinationmechanism;anti2disruption2abilitycontract:2004206222:(70321001,70329001);(2004035049):(1973-),,,,:.1(:9111999).,...,.:,.(),.,.,.,.:d=ŠD-kp,ŠD(:),k,dp.JeulandShugan[1,2]Moorthy[3]..,.:,,.,.,?.,.,,(disruptionmanagement)Clausen[4].[57],911OpsSolverCrewSolver.,,[8].,.,,.,,,:,MIT[11]CenterForTransportation&LogisticsGlobalTerrorismandItsImpactonSupplyChainManagement,,.,.,,,:.Qi,BardYu[9].,D.,..,,D.,k,.Qi[9]:(1);(2),,.Qi[9],.,;(3),Qi[9].2,Stackelberg.,,.,,,,.,.JeulandShugan[1],,:,.c,q,p,d=ŠD-kp,qT(q).:€fs=T(q)-cq,:€fr=pq-T(q),:€fsc=€fS+€fr.,d=q,d=ŠD-kp,p=(ŠD-q)Pk.€fsc(q)=q(p-c)=qŠD-qk-c.[9],:€q=(ŠD-kc)P2;:€p=(ŠD+kc)P(2k):€fscmax=(ŠD-kc)2P(4k).,…w(q),0120057T(q)=…w(q)q.:1[10],Nash,:,,.,,[10].:1[1],::01,€fr=(1-)€fsc,().2:01,…w(q)=(1-)c+D-qk,€fr=(1-)€fsc,.01T(q)=…w(q)q€fr(q)=pq-T(q)=pq-…w(q)q=ŠD-qkq-(1-)c+ŠD-qkq=-(1-)c+(1-)ŠD-qkq=(1-)qŠD-qk-c=(1-)€fsc(q)1,.3,..:k+k,p,d=ŠD-(k+k)p.,.Qp,:p=ŠD-Qk+k.QŠQ=€q,Q=Q-ŠQ.Q0,,p;Q0,.,.Qi[9]Q.,.,Q,:fsc(Q)=QŠD-Qk+k-c-1(Q-ŠQ)+-2(ŠQ-Q)+-(Q-ŠQ)2(1)1,2,0,A+=max{0,A}.:-1(Q-ŠQ)+-2(ŠQ-Q)+-(Q-ŠQ)2,Q=Q-ŠQ0,1;Q0,2€c=c-2(:02c).(Q-ŠQ)2,,Q.:,,.,k-k,ŠD,,k-k.:3Q3(1),,Q3ŠQ,-kk0Q3ŠQ,k0.,-kk0,Q3ŠQ..,-kk0,Q3ŠQ.117,ŠQ,fsc(ŠQ)=QŠD-ŠQk+k-c=ŠQŠD-ŠQk-kk(k+k)(ŠD-ŠQ)-c=ŠQŠD-ŠQk-c-kk(k+k)(ŠD-ŠQ)ŠQ(2),€fsc(Q3)=Q3ŠD-Q3k-cŠQŠD-ŠQk-c=€fsc(ŠQ)=€fscmax.(3)g(Q)=(ŠD-Q)Q,^Q=ŠQ2,g[0,^Q].:Q3ŠQ=ŠD-kc2ŠD2=^Q.g(Q3)g(ŠQ),:(ŠD-Q3)Q3(ŠD-ŠQ)ŠQ.,-kk0,-kk(k+k)(ŠD-Q3)Q3-kk(k+k)(ŠD-ŠQ)ŠQ.,fsc(Q3)=Q3ŠD-Q3k+k-c-2(ŠQ-Q3)-(Q3-ŠQ)2=Q3ŠD-ŠQ3k-c-kk(k+k)(ŠD-Q3)Q3-2(ŠQ-Q3)-(Q3-ŠQ)2ŠQŠD-ŠQk-c-kk(k+k)(ŠD-ŠQ)ŠQ-2(ŠQ-Q3)-(Q3-ŠQ)2fsc(ŠQ).Q3fsc(Q)..3,-kk0,fsc(Q)f1(Q)=QŠD-Qk+k-c-1(Q-ŠQ)-(Q-ŠQ)2(4):QŠQ.()f1(Q)=0,:f1(Q)=-2(k+k)+2k+kQ+ŠD-c(k+k)-(1-2ŠQ)(k+k)k+k=0.:Q1=ŠQ-(c+1)k+1k2(k+k)+2.(5)QŠQ,.1:-kk-1kc+1.,Q1QŠQ,f1(Q)Q1.=(c+1)k+1k2(k+k)+2.Q3casel=Q1=ŠQ-.Q3casel,:p3casel=ŠD-Q3caselk+k=ŠD-(ŠQ-)k+k=ŠD-ŠQk+k+k+k=k€pk+k+k+k=€p+-k€pk+k.:2120057fsccase1=Q3case1(p3case1-c)+1-2=(ŠQ-)€p+-k€pk+k-c+1-2=ŠQ(€p-c)+(ŠQ-)-k€pk+k-(€p-c)+1-2=€fscmax+(ŠQ-)-k€pk+k-(€p-c)+1-2.2:-1kc+1k0.,Q1ŠQ,,Q1.f1(Q)[ŠQ,-],f1(Q)ŠQ=ŠD-kc2.Q3case2=ŠQ.:p3case2=ŠD-Q3case2k+k=ŠD-ŠQk+k=k€pk+k=€p-k€pk+k.:fsccase2=Q3case2(p3case2-c)=ŠQ€p-k€pk+k-c=ŠQ(€p-c)-k€pk+kŠQ=€fscmax-k€pk+kŠQk0,k0,fsc(Q).f2(Q)=QŠD-Qk+k-c-2(ŠQ-Q)-(Q-ŠQ)2(6)ŠQQ.,30k2kc-24k2kc-2:Q3=Q3case3=ŠQ,0k2kc-2Q3case4=ŠQ-,k2kc-2:p3=p3scase3=€p-k€pk+k0k2kc-2p3case4=€p+-k€pk+kk2kc-2:fsc=fsccase3=€fscmax-k€pk+kŠQ0k2kc-2fsccase4=€fscmax-(€p-c)+-k€pk+k(ŠQ-)-2-2k2kc-2=(c-2)k-2k2(k+k)+2.:1kk,::d=ŠD-(k+k)p.p3,Q3,,.317p3=€p+-k€pk+k-kk-1kc+1€p-k€pk+k-1kc+1k2kc-2€p+-k€pk+kk2kc-2Q3=ŠQ-,-kk-1kc+1ŠQ,-1kc+1k2kc-2ŠQ-,k2kc-2=(c+1)k+1k2(k+k)+2,=(c-2)k-2k2(k+k)+2.2c-2(ŠD-kc),k(ŠD-kc)(k+1)+2k(c-2)-(ŠD-kc).,:Q30.Q3case4=ŠQ-0.2,.,k,,k.,,.d=ŠD-(k+k)€p,^Q=d=ŠD-(k+k)€p=ŠQ-k€p.ŠD-(k+k)€p0,:^fsc=^Q(€p-c)-1(k€p)--2(k€p)+-(k€p)2.(7)ŠD-(k+k)€p0,^Q=0,,:-2ŠQ-(ŠQ)2.(7)(k0k0).,:^fsc=€fscmax-k(€p-c)+1k€p-(k€p)2-kk0€fscmax-k(€p-c)-2k€p-(k€p)20kŠQ€p-2ŠQ-(ŠQ)2kŠQ€p1fsc^fsc.1k,fsc-^fsc.k=5,c=10,ŠD=200,1=3,2=2,=015.,:1)k,.;2)-kk-1kc+1.,:k-k,.,,.,();41200573)kŠQ€p,,.k,,.2ŠQ+ŠQ2,:,;4)-1kc+1kŠQ€p,.4,p3Q3.,p3Q3,,.,.,,.,.Qi[9],.,S(Q)=1(Q-ŠQ)++2(ŠQ-Q)++(Q-ŠQ)2.01,w(Q)=(1-)c+S(Q)Q+ŠD-Qk+k.1,T(Q)=w(Q)Q,,.1,:01,fr(Q)=(1-)fsc(Q).,fr(Q)=ŠD-Qk+kQ-T(Q)=ŠD-Qk+kQ-w(Q)Q=ŠD-Qk+kQ-(1-)c+S(Q)Q+ŠD-Qk+kQ=(1-)QŠD-Qk+k-c-S(Q)=(1-)fsc(Q).T(Q)=w(Q)Q.,Moorthy[3]:4,.311T(Q)=w(Q)Q,.(k=0),:ŠQ=ŠD-kc2.:Qp=QŠD-Qk,:ŠD-2Qk.:ŠD-2ŠQk=c.:5S(ŠQ)=[-2,1],5S(ŠQ)S(Q)ŠQ.:T(Q)=w(Q)Q=(1-)(cQ-S(Q))+ŠD-QkQ.ŠQ:(1-)(c-5S(Q))+ŠD-2ŠQk=(1-)(c-5S(Q))+c=[(1-)(c-1),(1-)(c+2)]+c=[c-(1-)1,c+(1-)2]c[c-(1-)1,c+(1-)2],517.4.3,.311,:2T(Q).5,.,;,,.,.,.,:1),.k,k,..,,;2),,,.[1]JeulandAL,ShuganSM.Managingchannalprofits[J].MarketingScience,1983,2(3):239-272.[2]JeulandAL,ShuganSM.Replyto:Managingchannelprofits:comment[J].MarketingScience,1988,7(1):103-106.[3]MoorthyKS.Managingchannelprofits:comment[J].MarketingScience,1987,6(4):375-379.[4]CausenJ,HansenJ,LarsenJ.Disruptionmanagement[J].ORPMSToday,2001,28(5):40-43.[5]ThengvallB,BardJF,YuG.Balancinguserpreferencesforaircraftrecoveryduringairlineirregularoperations[J].IIETransactionsonOperationsEngineering,2000,32(3):181-193.[6]YuG,ArguelloM,SongM,McMowanS,WhiteA.AnewEraforcrewrecoveryatcontinentalairline[J].Interfaces,2003,33(1):5-22.[7]YuG,YangJ.Optimizationapplicationintheairlineindustry[A].HandbookofCombinatorialOptimization[C],KluwerNorwell,MA,1997,14(2):635-726.[8]ThomasDJ,GriffinPM.Coordinatedsupplychainmanagement[J].EuropeanJournalofOperationalResearch,1996,94:1