经济系统发展动力结构优化模型与评价方法

200155:100026788(2001)05200562061,1,2(1.,130025;2.,116023):,L:;;:F222.1:AaDynamicStructureOptimizationModelandEvaluationMethodforEconomicSystemDevelopmentZHANGXiang2bin1,YUXiu2yan1,YANGDe2li2(1.JilinUniversityofTechnology,Changchun130025,China;2.DalianUniversityofTechnology,Dalian116023,China)AbstractThispaperproposesdynamicstructureoptimizationmodelforeconomicsystemdevelopmentbasedontheproductionfunction.Themodeltakestheoutputcapitawhosegrowthrateisrequestedtobethelargestasitsobjectivefunction.Thispaperpresentsthecharactersandconditionsoftheoptimumdynamicstructure,andtheevaluationmethodofthepracticalstructure.Keywordseconomicsystemdevelopment;dynamicstructureoptimizationmodel;dynamicstructureevaluationmethod1,,,,,,L,LL,:,,(,,),;;LL,,L,,,L,,L,a:1999205213©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.L2,:Y=Atf(K,L)(1):É:5Y5K0,5Y5L0Ê:K0:Y=Atf(KõK,KõL)=AtKQf(K,L),Y;At;K;L;QZ,(1)L,:YL=Atf(KL)LQ-1(2):YL(YöL);KL(KöL)Z(2)t,:YaL=Aatf(KL)LQ-1+Atf(KL)KaLLQ-1+(Q-1)Atf(KL)LQ-2(3)(3)YL,A=5fK5KLKLf(KL),:YaLYL=AatAt+AKaLKL+(Q-1)LaL(4),YLKLL,,(4):$Yt$tõYL=$At$tõAL+A$KL$tõKL+(Q+1)$L$tõL(5)y=$Yt$tYL,a=$At$tAt,k=$KL$tKL,l=$L$tL,(5):y=a+Aõk+(Q-1)l(6)(6),,a,kl(Q1),Z,Z,a,kl:raõa+rkõk+rlõl=I(7):ra1%;rk1%;rl1%;IZ,,,:maxy=a+Aõk+(Q-1)ls.t.raõa+rkõk+rlõl=Ia,k,lE0(8)3(8),,,(a3,k3,755©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.l3)0,0Z,;,;0Z,[1]Z,A,Q,ra,rkrl,:1)A,Q,ra,rkrl:1raEArkEQ-1rl(9):a3Ek3El32)A,Q,ra,rkrl:1raEQ-1rlEArk(10):a3El3Ek33)A,Q,ra,rkrl:ArkE1raEQ-1rl(11):k3Ea3El34)A,Q,ra,rkrl:ArkEQ-1rlE1ra(12):k3El3Ea35)A,Q,ra,rkrl:Q-1rlE1raEArk(13):l3Ea3Ek36)A,Q,ra,rkrl:Q-1rlEArkE1ra(14):l3Ek3Ea3,a,k,l:1AQ-1(15)a1%,;k1%,A%;l1%,Q-1%(Q1)(Q1)Z,A,Q,ra,rkrl(1)(2),(a3,k3,l3),,;A,Q,ra,rkrl(3)(4),(a3,k3,l3),,;A,Q,ra,rkrl(5)(6),(a3,k3,l3),Z4,A,Q,ra,rkrl,(a3,k3,l3),Z,8520015©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,ZZ,Z1ZwijjiZ,,2Z1jia3Ek3El3a3El3Ek3k3Ea3El3k3El3Ea3l3Ea3Ek3l3Ek3Ea3a3Ek3El3a3Ek3a3El3a3El3k3El3k3El3a3Ek3a3El3Ek3a3Ek3a3El3a3El3a3Ek3l3Ek3l3Ek3k3Ea3El3a3El3k3El3a3El3k3El3k3Ea3k3Ea3k3El3Ea3k3El3k3El3k3Ea3l3Ea3l3Ea3k3Ea3l3Ea3Ek3a3Ek3a3Ek3l3Ek3l3Ea3l3Ea3l3Ek3l3Ek3Ea3l3Ek3k3Ea3l3Ea3k3Ea3l3Ea3l3Ek32wijij10.70.40.1,,:wi=1n6ni=1wit(16),witti;nZ((1)),:w3i=wi1n6ni=1w1i(17)5,A,Q,ra,rkrlZ,y,a,klydi,adi,kdildi(i=1,2,,n)Z955©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.ydi,adi,kdildi$t=1,:Ydi=$YdiL$YdiL(18)Kdi=$KdiL$KdiL(19)Ldi=$LdiL$LdiL(20)a,,Q=1Aditadi:Adit=YdiKdiLdi(21)adi=$AditAdit(22),Kadiadi,K,Z,aadiadi,A,Q,ra,rkrlKZy,a,kl,K,A,Q,ra,rkrl:KA1-Q=ad1kd1ld1ad2kd2ld2adnkdnldnTad1kd1ld1ad2kd2ld2adnkdnldnTad1kd1ld1ad2kd2ld2adnkdnldnTyd1yd2ydn(23)Krarkrl=ad1kd1ld1ad2kd2ld2adnkdnldnTad1kd1ld1ad2kd2ld2adnkdnldnTad1kd1ld1ad2kd2ld2adnkdnldnTId1Id2Idn(24)fdi,fdiydi,adi,kdildi,ZZ61991-1995Z3,,Z,(18)(22),,,4Z,(23)(24)TSPK,A,Q,ra,rkrl5Z,(9),1ra=0.00164Ark=0.0008711-Qrl=0.000182(a3,k3,l3)a3Ek3El3ZZ,(16)(17)41991-1995((1)),5Z51991-1995Z0620015©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.31991-199519913.649.252078419923.849.6121027455919934.1110.0421597570619944.5210.5622435774519955.0511.3423316976441991-1995%19925.643.623.921.1719937.064.734.492.7119949.787.085.123.88199511.827.877.453.935KAQrarkrlwiw3i1.00270.51041.0212608.644586.017116.3100.9250.9257,,,,,,,,,(ra,rkrl),Z:[1].()[M],:,1983.[2],.[M].:,1989.[3],.[M].:,1990.165©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.