一类具有模糊补偿期限和降价周期的革新性产品EOQ模型

:100124098(2008)1120052207EOQX1,2,1(1.,116024;2.,350002):,EOQ,,EOQ,,,:;;EOQ;:C931;O227:A[1-3],,,,[4][5-6][10-14],[7],[8],,,EOQ,,,;,,,612,,,,,,,,,;,,,,,,,,,,,EOQ,,,1EOQ1.1,d,;,,l;0,;a;c,;h;2611(179)Vol.26,No.11200811SystemsEngineeringNov.,2008X:2008202228;:2008209221:(19722),,,,,:,,;,,,:,,T0,5;t0,,t0;,t;,;Ct,Q;bk,0,Ta0,Tb,TaTb,1.2EOQT0-t0t,,;,,,=+++,:Ct=a+cQ+12hdT2a+(Tb-Ta)2dl2+(Ta-T0+t)2dc52,T0-t0t(1)a+cQ+12hdT2a+(Tb-Ta)2dl2,(2),Ct(1),(1)(2),(1)Q31,C1t;(2)Q32,C2t;Q3C3t=minC1t,C2t,11.3EOQQ32Ct=a+cQ+12hdT2a+(Tb-Ta)2dl2,T0-t0t,[16],Q32=dT3b=2ad(h+l)hl(3)Q31Ct=a+cQ+12hdT2a+(Tb-Ta)2dl2+(Ta-u)2dc52,T0-t0t,,m=hd+dl+dc5n=udc5,Q31=n2(m-1)2-(mdl-m2)(2adl+dlun-n2)l(m-dl)(4),5=0,0,:m=hd+dln=0,Q31=2ad(h+l)hl,Q3Ct,:C2t=a+cQ32+12hdT2a+(Tb-Ta)2dl2=a+c2ad(h+l)hl+12hdT2a+(Tb-Ta)2dl2(5):C1t=a+cn2(m-1)2-(mdl-m2)(2adl+dlun-n2)l(m-dl)3511,:EOQ+12hdT2a+(Tb-Ta)2dl2+(Ta-u)2dc52(6),:Q3=Q31,C1t=min{C1t,C2t}Q32,C2t=min{C1t,C2t}(7)2EOQ,,,,,,,715,912;10à20à,13à15à[12-13,15],,2.1(t0)(T0)(5),:t0=[t10,t20,t30,t40],T0=[T10,T20,T30,T40],5=[51,52,53,54]t0,(2),t0:ut0=0,xt10xt40x-t10t20-t10,t10xt201,t20xt30t40-xt40-t30,t30xt402t0,ChenHsieh(gradedmeanintegrationrepresentation)[15]h,0h1t0=[t10,t20,t30,t40],:P(t0)=10hL-1(h)+R-1(h)2dh10hdh=t10+2t20+2t30+t406(7)2.2(1)(2),,,T0t0,t,T0-t0,t,T0-t0,:LT0-t0(z)=y-x=z(LT0Lt0),3LT0-t0(z)=0,zT10zt40z-T10T20-T10,T10zT201,T20zt30t40-zt40-t30,t30zt40(8)3LT0-t0(z)452008[16](Sugeno,1985;lee,1990),:z3=LT0-t0(z)õzdzLT0-t0(z)dz=(t30)2+(t40)2+t30t40-(T10)2-(T20)2-T10T203(t30+t40-T10-T20)(9),T0,:T30=(T30)2+(T40)2+T30T40-(T10)2-(T20)2-T10T203(T30+T40-T10-T20)(10)z3T30,:z3t,,,;z3t,,2.3z3tCt=a+cQ+12hdT2a+(Tb-Ta)2dl2+(Ta-T0+t)2dc52Ct=a+cQ+12hdT2a+(Tb-Ta)2dl2+(Ta-T10+t)2dc512,a+cQ+12hdT2a+(Tb-Ta)2dl2+(Ta-T20+t)2dc522,a+cQ+12hdT2a+(Tb-Ta)2dl2+(Ta-T30+t)2dc532,a+cQ+12hdT2a+(Tb-Ta)2dl2+(Ta-T40+t)2dc542(9),p(Ct)=16a+cQ+12hdT2a+(Tb-Ta)2dl2+(Ta-T10+t)2dc512+2a+cQ+12hdT2a+(Tb-Ta)2dl2+(Ta-T20+t)2dc522+2cQ+12hdT2a+(Tb-Ta)2dl2+(Ta-T30+t)2dc532+a+cQ+12hdT2a+(Tb-Ta)2dl2+(Ta-T40+t)2dc542p(Ct),Q=dTb,5(p(Ct))5Ta=0,5(p(Ct))5Tb=0,:Ta=c(6+51T10+252T20+253T30+54T40)-ct(51+252+253+54)c(51+252+253+54)-6hTb=c(6+51T10+252T20+253T30+54T40)-ct(51+252+253+54)c(51+252+253+54)-6h-cl:Q31=dTb=dc(6+51T10+252T20+253T30+54T40)-dct(51+252+253+54)c(51+252+253+54)-6h-dcl(11)2.4z3t,,,Q32=dT3b=2ad(h+l)hl(12)2.5Q3Ct,:C2t=a+cQ32+12hdT2a+(Tb-Ta)2dl2=a+c2ad(h+l)hl+12hdT2a+(Tb-Ta)2dl2(13):p(Ct)3=a+dc2(6+51T10+252T20+253T30+54T40)-dc2t(51+252+253+54)c(51+252+253+54)-6h-dc2l+12hdT2a+(Tb-Ta)2dl2+dc12[(Ta-T10+t)251+2(Ta-T20+t)252+2(Ta-T30+t)253+(Ta-T40+t)254](14),:Q3=Q31,p(Ct)3=min{p(Ct)3,C2t}Q32,C2t=min{p(Ct)3,C2t}(15)3d=200ö,l=200ö;a=8000ö;c=1000ö,h=0.5ö,T0=[15,25,35,45],5=[0.1,0.15,0.2,0.3],t0=[10,15,20,25];t,MATLAB,t[0,50],45,[20,40],Q3=Q31,p(Ct)3=min{p(Ct)3,C2t}Q32,C2t=min{p(Ct)3,C2t},15511,:EOQ1t()p(Ct)3()Q31()C2t()Q32()Q3()202122232425262728293031323334353637383940562770054247005221800501890048162004613600441110042087004006300380410036020003400000319810029963002794600------1496136912691168106896886776766756746636626616665------3060400305840030566003054900305330030518003050300304900030478003046700304570030447003043900304320030426003942100304160030413003041100304100030410002533253316665253346520085t:,,;,;;4,,,,,,,,,,,:[1]GorhamE.Dynamicorderquantities[J].ProductionandInventoryManagement,1968,9(1):7579.[2]SilverEA,etal.Decisionsystemsforinventorymanagementandproductionplanning[M].NewYork:JohnWiley&Sons,1985.[3].[M].:,1996:366368.[4]BertazziL.Roundingofftheoptimalsolutionoftheeconomiclotsizeproblem[J].InternationalJournalofProductionEconomics,2003,8182(11):385392.[5]MatsuyamaK.ThegeneralEOQmodelwithincreasingdemandandcosts[J].JournaloftheOperationsResearchSocietyofJapan,2001,44(2):125139.[6]GullurOE.Analysisofaninventorysystemundersupplyuncertainty[J].InternationalJournalofProductionEconomics,1999,59:3947.[7].EOQ[J].,1999,3:2430.[8]PetrovicD,RoyR,PetrovicR.Supplychainmodelingusingfuzzysets[J].Int.J.ProductionEconomics,1999,59:443453.[9]BellmanRE,ZadehLA.Decision2makinginafuzzyenvironment[J].ManagementScience,1970,17(4):141164.7511,:EOQ[10]ChenSH,WangCC.Backorderfuzzyinventorymodelunderfunctionalprinciple[J].InformationSciences,1996,95(12):7179.[11]YaoJS,ChiangJ.Inventorywithoutbackorderwithfuzzytotalcostandfuzzystoringcostdefuzzifiedbycentroidandsigneddistance[J].EuropeanJournalofOperationalResearch,2003,148(2):401409.[12],.[J].,2006,5:765771.[13]IshiiH,KonnoT.Astochasticinventoryproblemwithfuzzyshortagescost[J].EuropeanJournalofOperationResearch,1998,106:9094.[14],.[J].,2005,9:5458,64.[15]ChenSH,HsiehCH.Gradedmeanintegrationrepresentationofgeneralizedfuzzynumber[J].JournalofChineseFuzzySystem,1999,5(2):17.[16]RossTJ..[M].:,2001.AnEOQModelofInnovativeProductswithFuzzyCompensationTimeandFuzzyPriceDiscountCycleHUANGJian2hua1,2,DANGYan2zhong1(1.InstituteofSystemsEngineering,DalianUniv.ofTech.,Dalian116024,China;2.CollegeofPublicAdministration,FuzhouUniv.,Fuzhou350002,China)Abstract:AkindofinnovativeproductisintroducedandtheregionalagentsEOQmodelwithfuzzycomp