搜索
19981111a(,116024)ComparisonStudyofParametricandNonparametricProductionFrontiersGuoJingfuYangDeli(SystemsEngineeringInstitute,DalianUniversityofTechnology,Dalian116024)AbstractThispaperdiscussestheparametricandnonparametricproductionfrontiers.Withacalculationexample,characteristics,measuringeconomicindexesandadvan2tagesofthetwoefficientanalysismethodsarecompared.Keywordsproductionfrontiers;efficiency;DEA;marginaloutput;returntoscale1,(DMU),,,,,,,,,,,,D.J.AignerS.F.chu[1,2]1968(xi,yi)(i=1,2,,n),y=f(x,B),Bmin6ni=1ûyi-fi(xi,B)û(1)s.t.f(xi;B)Eyi,i=1,2,,n(SPF),yj=XjB-Lj+Gjj=1,2,,n(2)yjDMUj,Xj=(x1j,x2j,,xmj)DMUjm,B=(B1,B2,,Bm)T,G,La1997519(:7957009),SPF,,GLGN(0,R2G)LûN(0,R2L)û,ToshiyukiSueyoshi[3](DEA),L,Y3j=XjB+GjBDEA[4]DMU,DMU,,,,Bowlin[5],Thanassoulis[6]DEA(RA),RAH.Bjurek[7]DEA[3]SPFDEA,2211DEADEAL,DEA(C2R),nDMU,DMU,myj0,Xj=(x1j,x2j,,xmj)0,j=1,2,,nj0DMUmaxhs.t.6nj=1KjXTjFXT06nj=1KjyjEhy0KjE0,j=1,2,,n(3)hE1,DMUj0DEAH3=1öh3,h3(3)minUXT0UXTj-vyjE0j=1,2,,ns.t.vy0E1U=(u1,u2,,um)E0,vE0(4)212DEA(3)h3,DMUj0DEAy30=y0h3=y0öH3y0h3-y0=(h3-1)y0,LDMUj0L0=(h3-1)y0DMUjy3j=yj+Lj=yjh3(2)y3j=XjB+Gjj=1,2,,n(5)Gj,B[3]DEA,C2Dy=Axa1xb2xc3A,a,b,c,a+b+c,lny=lnA+alnx1+blnx2+clnx3(6)231998113[3],20DMUy,x1,x2,x3,1,(3)DMU,DEAH3=1öh3(22)DEAy3j=h3yj1xij(6),a,b,c,()lny=1.8075+0.2939lnx1+0.4432lnx2+0.2736lnx3(7)DMUydj,DMUyjöydj(2),SPFDMU1,11DMUx1j(1000)x2jx3j(1000)yj16964.71569.3592.54231.8422906.7846.5418.32077.77313206.22275.67102.68889.7442711.0452.9219.01746.42524803.64803.19163.417418.87627221.88617.20216.020603.3973465.8183.1029.4898.128113.112.271.586.109796.2193.5414.6809.281019104.84579.27109.711829.751148014.09797.44300.038923.0312161.728.610.7104.54136234.0726.3129.83574.73141376.8235.4324.21197.79151948.7540.8918.42150.36161655.3252.4122.8840.22175480.51030.2843.23200.47183499.61381.0918.73764.861922137.03075.16223.115398.6920118400.621262.501117.1114356.102DMUDEAydjSPFyjöydj10.5907390.870.57320.7442791.390.74430.79110819.440.82240.8102094.110.83450.86320593.720.84660.81429598.530.69670.8921697.850.52981.00083.031.00090.973932.530.868100.75916744.820.707111.00040498.860.961121.000108.960.959131.0003729.620.959140.9301371.900.873151.0002038.031.000160.6051469.470.572170.6604641.270.690181.0003683.801.000190.92917798.780.865201.000106660.301.0004(SPF)(DEA)20DMU,411,,33111,G,DMU,DEASPF,DEA,SPF(1),A,B,D,EDEAA,BESPF,CFCCCCDEAyCöyC,SPFyCöyC412C2D()y=6.09x0.29391x0.44322x0.27363(8)a+b+c=1.01051,DMUDEA(3)DMU8,K38=1,K3j=0,(j8),6K3j=1,,DEADMU16,DEA0.605,K38=4.72,K320=0.01,K3j=06K3j=4.731DMU413,,,,(8)4DMU3DEA,DEA[8]min6mj=1vjxj0(9)s.t.6mj=1vjxijEyjj=1,2,,nv3ixi,DMU(3DMU12DMU18)(6),(3DMU2DMU6)3DMUDEA()SPF()x1x2x3x1x2x321.5386.5910.2141.7358.9710.25661.8328.7320.1981.9619.3450.231120.0001.8560.0741.8977.2650.331181.0370.0000.0071.21510.3770.262414,43199811,DEA,,DEA,,,,DEA,,DEASPFDEADEA,,,DMU,,DMU,,,5,,,1Aigner,DandSFChu.Onestimatingtheindustryproductionfunction.AmericanEconomicReview,1968,58:8268392AignerD,LovellKandSchmidthP.Formulationandestimationofstochasticfrontierproductionmod2els.JournalofEconometrics,1977,6:21373ToshiyukiSueyoshi.Stochasticfrontierproductionanalysis:Measuringperformanceofpublicteleco2municationsin24OCEDcountries.EuropeanJournalofOperationalResearch,1994,74:4664784CharnesA,CooperWWandRodesE.Measuringtheefficiencyofdecisionmakingunits.EuropeanJournalofOperationalResearch,1978,2:4294445BowlinWFetal.Dataenvelopmentanalysisandregressionapproachestoefficiencyestimationande2valuation.Ann.Opns.Res,1985,2:1131386ThanassoulisE.Acomparisonofregressionanalysisanddataenvelopmentanalysisasalternativemethods.JournalofOperationalResearchSociety,1993,44:112911447BjurekHetal.Deterministicparametricandnonparametricestimationofefficiencyinserviceproduc2tion-Acomparison.JournalofEconometrics,1990,46:2132278SenguptaJK.EconomictheoryandDEAmodels:acriticalreview.InternationalJournalofSystemScience,1996,27:77855311