面向模糊随机需求更新的供应链回购契约响应方法研究

15320076ChineseJournalofManagementScienceVol.15,No.3Jun.,2007:1003-207(2007)03-0047-091,2,1,2,3(1.,150001;2.,150001;3.,116025):,,,,,,,,,,,:;;;:F274:A:2006-05-19;:2007-04-20:(70571019);(A2320060097);(20060213004);863CIMS(2002AA413110);TPM:(1979-),(),,,:.1,[1],,,[2]EmmonsGilbert[3],PadmanabhanPng,[4]Taylor,[5],,,XiangtongQi,JonathanF1Bard,[6,7],,,,,,[8]Donohue,,[9],,,[10],,,DobrilaPetrovic’,RadivojPetrovic’[11]Liang-YuhOuyang,Jing-ShingYao,[12]C1Kao,W1K1HsuLushuLi,S1N1Kabadi[13,14]HuibertKwakernaak[15],,Mara#ngelesGil,MiguelLpez-Daz,,[16],,,,,:015,1500,,[17]Hung-ChiChang,Jing-ShingYao,[18]P1Dutta,D1Chakraborty,,[19],,,:(1),,,,;(2),,,;(3),,,,,,,2211,,,,,,,,,,,,,;,:DDF,F,F(0)=0,F=1-F(x),f,=E(D);p,;c,c=cS+cR,cS,cR;g,g=gS+gR,gS;gR;v;w0;b0;q,212S(q)=q(1-F(q))+842007q0yf(y)dy=q-q0F(y)dy,I(q)=q-S(q),L(q)=-S(q)[1]:(q)=(p-v+g)S(q)-(c-v)q-g(1):R(q)=pS(q)+vI(q)-gRL(q)-cRq-T=(p-v+gR)S(q)-(cR-v)q-gR-T(2),T{w0,b0},01,p-v+gR-b0=(p-v+g)w0-b0+cR-v=(c-v)(3),:R(q,w0,b0)=(p-v+g)S(q)-(c-v)q-gR=(q)+(g-gR)(4)(4),,,q3=argmax(q),max=(q3),Rmax=max+(g-gR)3,,,r,(y1,p1),(y2,p2),,(yn,pn)yipi(i=1,2,,n):(1),n;,,,(2)q3,q3q3m,(n-m);q3,q3(3),,(yi,yi,yi)(pi,pi,pi),:yk(k[1,n]k),cSE,cREcSD,cRDcE=cSE+cREp-c,cD=cSD+cRDp-c311Option1:,:P(yk)op1=pyi-cyk-cE(yk-q3)+v(yk-yi)yiyk(p-c)yk-cE(yk-q3)-g(yi-yk)yiykk[m+1,n](5)(EP(yk)op1,EP(yk)op1,EP(yk)op1)[19],EP(yk)op1=ki=1[pyi-cyk-cE(yk-q3)+v(yk-yi)]pi+ni=k+1[(p-C)yk-cE(yk-q3)-g(yi-yk)]pi=ki=1[(p-v)yi-(c+cE-v)yk+cEq3]pi+ni=k+1[(p-c-cE+g)yk-gyi+cEq3]pi(6)EP(yk)op1=ki=1[(p-v)y-ip-i-(c+cE-v)y-kp-i+cEq3p-i]+ni=k+1[(p-c-cE+g)y-kp-i-gy-ip-i+cEq3p-i]EP(yk)op1=ki=1[(p-v)yipi-(c+cE-v)ykpi+cEq3pi]+ni=k+1[(p-c-cE+g)ykpi-gyipi+cEq3pi](7)EP(yk)op1=ki=1[(p-v)y-ip-i-(c+cE-v)y-kp-i+cEq3p-i]+ni=k+1[(p-c-cE+g)y-kp-i-gy-ip-i+cEq3p-i]EP(yk)op1(01)EP(yk)op1sup()=sup{r|Cr{EPr}}EP(yk)op1(01)EP(yk)op1inf()=inf{r|Cr{EPr}},EP(yk)op1EE(yk)op1943:=EP(yk)op1+2EP(yk)op1+EP(yk)op14[20]Option2,Option3:EP(yk)op2=ki=1[(p-v)yi-(c-cD-v)yk-cDq3]pi+ni=k+1[(p-c+cD+g)yk-gyi-cDq3]pik[1,m](8)EP(q3)op3=mi=1[(p-v)yi-(c-v)q3]pi+ni=m+1[(p-c+g)q3-gyi]pi(9)EP(yk)op2EP(q3)op3EP(yk)op2sup()EP(q3)op3sup(),EP(yk)op2inf()EP(q3)op3inf(),EE(yk)op2=EP(yk)op2+2EP(yk)op2+EP(yk)op24EE(q3)op3=EP(q3)op3+2EP(q3)op3+EP(q3)op34,(7)312,,,,:1:,,,,,:,ykq3y32:,,,,,:,ykq3y33:,,,:dop1[m+1,n],EE(ydop1)op1EE(yj)op1(Pj[m+1,n]),dop2[1,m],EE(ydop2)op2EE(yj)op2(j[1,m]),max=max{EE(ydop1)op1,EE(ydop2)op2,EE(q3)op3},ydop1,ydop2q3y3,y3=ydop1,(ydop1-q3),y3=ydop2,(q3-ydop2),y3=q3,4,,{w,b},:EP(yk,q3)R=ki=1[(p-b)yi-(cR+w+cRE-b)yk+cREq3]pi+ni=k+1[(p-cR-w-cRE+gR)yk-gRyi+cREq3]piOption1ki=1[(p-b)yi-(cR+w-cRD-b)yk-cRDq3]pi+ni=k+1[(p-cR-w+cRD+gR)yk-gRyi-cRDq3]piOption2mi=1[(p-b)yi-(cR+w-b)q3]pi+ni=m+1[(p-cR-w+gR)q3-gRyi]piOption3(10)052007,,,{w,b}:bwp-cRwcS(11)(11),p-b0,cR+w+cRE-b0,p-cR-w+cRD+gR0,cR+w-b0,p-cR-w+gR0p-cR-w-cRE+gRcR+w-cRD-b,,p-cR-w-cRE+gR0cR+w-cRD-b0(12){w,b}:EE(yk,q3)R=Akb-Bkw+Cop1kOption1Akb-Bkw+Cop2kOption2Db-Ew+FOption3(13)Ak,Bk,Cop1k,Cop2k,D,E,F,,:Case1:(ydop1-q3),{w,b}(11)(12),:Adop1b-Bdop1w+Cop1dop1Ajb-Bjw+Cop1j(Pj[m+1,n])Adop1b-Bdop1w+Cop1dop1Ajb-Bjw+Cop2j(Pj[1,m])Adop1b-Bdop1w+Cop1dop1Db-Ew+FcS+cSEwp-cR-cRE(14)Case2:(q3-ydop2),{w,b}(11)(12),:Adop2b-Bdop2w+Cop2dop2Ajb-Bjw+Cop1j(Pj[m+1,n])Adop2b-Bdop2w+Cop2dop2Ajb-Bjw+Cop2j(Pj[1,m])Adop2b-Bdop2w+Cop2dop2Db-Ew+FcS+cSDwp-cR-cRD(15)Case3:,{w,b}(11)(12),:Db-Ew+FAjb-Bjw+Cop1j(Pj[m+1,n])Db-Ew+FAjb-Bjw+Cop2j(Pj[1,m])(16)(14)(16),,,,{w,b}:0EE(yk,q3)R-Rmaxmax-maxmaxmaxmax-maxEE(yk,q3)R-max0maxmax(17)(17),,,Case1maxmax,(17){w,b},(,1-),0=Adop1b-Bdop1w+Cop1dop1-Rmaxmax-max1(14)(16)(11)(12)(17),,,;,{w0,b0}|,,,,{w0,b0},,153:,51,qN(25,10),F(q)=1102q-e-(x-25)2200dx,F(0)=01006201(:)pvgsgRcScR622331(q)=7q-9q0F(y)dy-125,(q)=0,q3=33max=106-9330F(y)dy=106-9102330y-e-(x-25)2200dxdys=x-2510106-92330y-2510-e-s22dsdyt=y-2510=106-902018-215t-e-s22dsdt=106-902-215-018-215e-s22dtds+018-215018se-s22dtds=24173(318,116),=016,Rmax=max+(g-gR)=14184,[19],22()(18,20,22)(01045,0105,01055)(23,25,27)(01143,0115,01157)(28,30,32)(01292,0130,01308)(33,35,37)(01192,0120,01208)(38,40,42)(01092,0110,01108)(43,45,47)(01093,0110,01107)(48,50,52)(01094,0110,01106)3k=1k=2k=3k=4k=5k=6k=7()-371627-213775261123411123421541401791341541381607()-221576-119265131174171174111306214564-10109418152,011,0105,,012,0133,,,,,40,33,(11)(12)(14)(17),:bw5w3w-71950w-b+01707125b-20w+98128307b-15w+59103306b-10w+2615330315b-5w+7153280-4b+5w-31750-815b+10w-3041928b-71049w+1116880311w4195141847125b-401049w+151189321651252007,(18),1,8,9,13,11,3,,,(316,3105),,414k=1k=2k=3k=4k=5k=6k=7()-1815673144582019962916212918292717792217542814876,,,,,,,,,,,,,(11)(12),Ak,Bk,Cop1k,Cop2k,D,E,F:Ak=(y-kki=1p-i-ki=1y-ip-i+2ykki=1pi-2ki=1yipi+y-kki=1p-i-ki=1y-ip-i)/4Bk=(y-kki=1p-i+y-kni=k+1p-i+2ykki=1pi+2ykni=k+1pi+y-kki=1p-i+y-kni=k+1p-i)/4Cop1k=(Gop1k+2Hop1k+Lop1k)/4,Cop2k=(Gop2k+2Hop2k+Lop2k)/4,F=(F1+2F2+F3)/4Gop1k=pki=1y-ip-i-(cR+cRE)y-kki=1p-i+cREq3ni=1p-i+(p-cR-cRE+gR)y-kni=k+1p-i-gRni=k+1y-ip-iHop1k=pki=1yipi-(cR+cRE)ykki=1pi+cREq3ni=1pi+(p-cR-cRE+gR)ykni=k+1pi-gRni=k+1yipiLop1k=pki=1y-ip-