基于Supply_Hub运作模式的供应商协同补货策略研究

Vol.25No.1JournalofIndustrialEngineering/EngineeringManagement20111Supply-Hub1121.4300742.401331Supply-Hub。-Supply-Hub。。Supply-HubF274A1004-6062201101-0026-082009-04-072010-03-222006AA04Z15370672040710710501956－。。0-、JITJIT。JIT。－。。。“”。。-、Supply-Hub-。Supply-HubSupply-HubSupply-Hub1。Supply-Hub。Supply-Hub。Supply-Hub。。Supply-Hub－。BarnesSupply-Hub－2。、Supply-Hub3。、、Supply-Hub4。Supply-Hub。JanatShahaMarkGohSupply-HubSupply－HubSupply-Hub5。JanatShahaMarkGohSupply-HubSupply-Hub。—62—Vol.25No.120111Supply-HubSupply-Hub。。Goyal67。GoyalSatir81989、Scs。Scs9。。Liu10。HongshengChuJingchunWang。11。Pareto12。HareshGurnaniYigalGerchak13。-。Supply-Hub。Supply-Hub。。1Supply-Hub。Supply-Hub1。Supply-Hub314S1、S2A1、A2。。11。Supply-HubT。Supply-Hub1Supply-Hub2Supply-Hub。SiLiLi。nT－Li。SinT－LiSupply-Hub。nTSupply-Hub2。。“”。。S1S2L1L2。IPittAiSupply-Hub。QiSi。SinT－LiIPinT－Li=Qi。hiTAi—72—Supply-Hub。P。piSi。biAi。y0L1－L2Aif0·F0·d0。y2L2Aif2·F2·d2。y1L1Aif1·F1·d1。xTAif·F·D。。x1=x+y1x2=x+y2。x1x2fx1·fx2·Fx1·Fx2·。BiQiQjTAjAi。B1Q1Q2=∫Q1－Q20∫∞Q2Q1－y0－Q2fx2x2dx2×f0y0dy0B2Q2Q1=∫Q1Q1－Q2∫∞Q1－y0Q2－Q1+y0fx2x2dx2×f0y0dy0。GiQi=∫∞Qixi－Qi·fxixidxiTAi。2。T－LiSiAiT－LiIPiT－Li=Qi。ECtQ1Q2=h1Q1－D2－d1+h2Q2－D2－d2+PGmax+b1B1Q1Q2+b2B2Q2Q111ECthiQi－D2－d()ii=12PGmaxGmax=maxG1G2biBiQiQjij=12AjAi。ECcQ1Q2Q1=h1+b1F0Q1－Q21－Fx2Q2－b2∫Q1Q1－Q21－Fx2Q1－y0+Q2－Q1+y0fx2Q1－y0×f0y0dy0－P∫Q1Q1－Q21－Fx2×Q1－y0f0y0dy0=02ECcQ1Q2Q2=h2－b11－Fx2Q2·F0Q1－Q2+fx2Q2∫Q1－Q20Q1－y0－Q2×f0y0dy0+b2∫Q1Q1－Q21－Fx2Q1－y0×f0y0dy0－P1－Fx2Q2×F0Q1－Q2=03SiECiQi=hiQi－D2－d()i+piGiQi+biBiQiQj42ECiQiQ2i04。S1、S2EC1Q1=h1－p11－Fx1Q1+b11－Fx2Q2F0Q1－Q2=05EC2Q2=h2－p21－Fx2Q2+b2∫Q1Q1－Q21－Fx2Q1－y0f0y0dy0=0656Sih1－p11－Fx1Q1+b11－Fx2Q2×F0Q1－Q2=0h2－p21－Fx2Q2+b2∫Q1Q1－Q2×1－Fx2Q1－y0f0y0dy0=07R1Q1Q2=h1－p11－Fx1Q1+b11－Fx2Q2F0Q1－Q2R2Q1Q2=h2－p21－Fx2Q2+b2∫Q1Q1－Q21－Fx2Q1－y0×f0y0dy0R1Q1Q2Q10R2Q1Q2Q10—82—Vol.25No.120111convex-payoff-functionsgamesSi15。3Supply-HubSupply-HubSupply-Hub。Supply-Hub。Supply-HubSupply-Hub。Supply-Hub。Supply-Hub3。。3Supply-HubS1、S2。S1T－L1。Supply-HubS1A1S2S2T－L2A2Supply-HubA1、。3.1S2S2T－L2A1。S2T－L2S2A1IP1T－L21.T－L1T－L2。T－L2A1IP1T－L2。S2A2IP2T－L2A1。S2Q2=IP2T－L2IP1T－L2。A2ECSH21Q2=h2Q2－D2－d()2+p2G2Q282ECSH21Q22082Qu2EPSH21Q2Q2Q2=Qu2=h2－p21－Fx2Qu2=09Qu2=F－1x21－h2p()2102.T－L1T－L2T－L2A1IP1T－L2。S2A2A1Q2=IP2T－L2IP1T－L2。A2。ECSH22Q2INP1T－L2=h2Q2－D2－d()2+p2G2Q2+b2B2Q2INP1T－L2112EPSH22Q22=p2fx2Q2011。S2Ql2EPSH22Q2Q2=Ql2=0Ql2=F－1x21－h2+b21－Fx2IP1T－L2p{}2。12S2T－L2A1IP1T－L2Qu2Qu2IP1T－L2Ql2IP1T－L1F－1x21－h2p2－b()2Ql2。3.811EPSH22≥ECSH21Q2=IP1T－L2EPSH22=ECSH21811S24。Qu2IP1T－L2Ql2S2Q2=IP1T－L2。S2T－L2A1IP1T－L21IP1T－L1F－1x21－h2p2－b()2Q*2=Ql2=F－1x21－h2+b21－Fx2IP1T－L2p{}2。2F－1x21－h2p2－b()2IP1T－L1F－1x21－h2p()2Q*2=IP1T－L2。3IP1T－L1F－1x21－h2p()2Q*2=Qu2=F－1x21－h2p()2。—92—Supply-Hub1S23.2S1Supply-HubS2T－L2A1IP1T－L2。S1S2。S1ECSH1Q1=h1Q1－D2－d()1+p1G1Q1+b1B1Q1Qu2132ECSH1Q21=p1fx2Q1+b11－Fx2Qu2f0Q1－Qu204。S1Q*1ECSH1Q1Q1=Q*1=h1－p11－Fx1Q*1+b11－Fx2Qu2×F0Q*1－Qu2=0143.3Supply-HubECSHtQ1Q2=PEshortage+Σi=12hiaverageinventorylevel+Σi=12biEextraholdingunits=∫Q1－Qu2[0h1Q1－D2－d()1+h2Qu2－D2－d()2+PG2Qu2+b1B1Q1Qu2]f0y0dy0+∫kQ1－Qu[2h1Q1－D2－d1+h2Q1－y0－D2－d2+PG2Q1－y0]×f0y0dy0+∫Q1[kh1Q1－D2－d1+h2Q12－D2－d2+PG2Q1－y0+b2B2Ql2Q1－y0]f0y0dy015珘B1Q1Qu2=∫∞Qu2Q1－y0－Qu2fx2x2dx2珘B2Ql2Q1－y0=∫∞Q1－y0Ql2－Q1+y0fx2x2dx2k=Q1－Fx21－h2p2－b()2。1012Qu2Ql2p2。15Q1p2。14p1S1。4Supply-Hub15。MATLABR2007a。A1、A2Tμ=40σ2=162A2L2μ=5σ2=22。A1L1y0y0～N1042y0～N2082y0～N30122。A1Th1=10b1=50。A2Th2=20b2=90h2=50b2=150。P=500。121.S1、S2L1－L2—03—Vol.25No.1201111Supply-Hubh1=10b1=50h2=20b2=90L1－L2y0～N1042y0～N2082y0～N30122Supply-HubSupply-HubSupply-HubQ*183829695111108Qu272—73—73—Q*2—71—71—711276139013901410145514501601811821922102127161836326514431587159016381697170799.4%99.4%99.4%99.4%99.4%99.4%2Supply-Hubh1=10b1=50h2=50b2=150L1－L2y0～N1042y0～N2082y0～N30122Supply-HubSupply-HubSupply-HubQ*176768989105104Qu266—66—66—Q*2—65—65—66211924102274244024082540409416484416483365124039886912925402866279729442960303498.5%98.5%98.5%98.7%98.7%99%。SinT－LiL1－L2L1－L2nTA1、A2。50%.2.Supply-HubS2S1T－L2A1IP1T－L2。12S2Qu2Q*2。S2。3.129.07%3.22%0.59%11.37%4.99%2.44%.S1、S2L1－L2。Q*1Supply-HubS1A1。S1L1A1S2。4.56AipiSi。Supply-HubSi34。3Sih1=10b1=50h2=20b2=90L1－L2y0～N1042y0～N2082y0～N30122Supply-HubSupply-HubSupply-HubS158769960471665977116.02%15.64%14.53%S29451083101610961047112112.74%7.3%6.6%—13—Supply-Hub4Sih1=10b1=50h2=50b2=150L1－L2y0～N1042y0～N2082y0～N30122Supply-HubSupply-HubSupply-HubS151568557271366077224.82%19.78%14.51%S221392479227625152326256813.72%9.5%9.42%Supply-HubSi。Supply-Hub。5Supply-Hub。-Supply-Hub。Supply-Hub。。1.SupplyHubJ.2007268124～127.2BarnesEDaiJDengSJetal.OntheStrategyofSupplyHubsforCostReductionandResponsivenessR.TLI－APWhitePaperonElectronicsSupplyChainGeorgiaInstituteofTechnologyandNationalUniversityofSingapore.2000.3.3PL-HUBJ.200827285～88.4.SupplyHubJ200828053～58.5ShahJGohM.SettingoperatingpoliciesforsupplyhubsJ.InternationalJournalofProductionEconomics2006100239～252.6GoyalSK.DeterminationofOptimumPackagingFrequencyofItemsJointlyReplenishedJ.ManagementScience1974214436～443.7GoyalSK.NoteonDeterminationofOptimumPackagingF