Hyperbolic frontier model: a parametric DEA approach for the distribution of a total fixed output

This paper addresses the problem of assigning shares of a new total fixed output to a group of decision making units (DMUs) using data envelopment analysis (DEA), by assuming the existence of a predefined hyperbolic locus of points that characterizes the DEA frontier. The problem of redistributing an already existing output is then addressed, where the total value of this output may vary, so that no DMU is required to decrease its current output value in the new distribution.

[1]  Armando Zeferino Milioni,et al.  Spherical frontier DEA model based on a constant sum of inputs , 2007, J. Oper. Res. Soc..

[2]  Pekka J. Korhonen,et al.  Resource Allocation Based on Efficiency Analysis , 2004, Manag. Sci..

[3]  Wade D. Cook,et al.  Characterizing an equitable allocation of shared costs: A DEA approach , 1999, Eur. J. Oper. Res..

[4]  Sebastián Lozano,et al.  CENTRALISED TARGET SETTING FOR REGIONAL RECYCLING OPERATIONS USING DEA , 2004 .

[5]  W. Cooper,et al.  Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software , 1999 .

[6]  A. U.S.,et al.  Measuring the efficiency of decision making units , 2003 .

[7]  Sebastián Lozano,et al.  Centralized DEA models with the possibility of downsizing , 2005, J. Oper. Res. Soc..

[8]  M. Farrell,et al.  Estimating Efficient Production Functions Under Increasing Returns to Scale , 1962 .

[9]  Joe Zhu,et al.  Allocation of shared costs among decision making units: a DEA approach , 2005, Comput. Oper. Res..

[10]  S. Lozano,et al.  Centralized Resource Allocation Using Data Envelopment Analysis , 2004 .

[11]  José Virgílio Guedes de Avellar,et al.  Modelos DEA com variáveis limitadas ou soma constante , 2005 .

[12]  Eliane Gonçalves Gomes,et al.  Olympic ranking based on a zero sum gains DEA model , 2003, Eur. J. Oper. Res..

[13]  Marcos Pereira Estellita Lins,et al.  CONSTRUCTION OF A SMOOTHED DEA FRONTIER , 2002 .

[14]  篠原 正明,et al.  William W.Cooper,Lawrence M.Seiford,Kaoru Tone 著, DATA ENVELOPMENT ANALYSIS : A Comprehensive Text with Models, Applications, References and DEA-Solver Software, Kluwer Academic Publishers, 2000年, 318頁 , 2002 .

[15]  Marcos Pereira Estellita Lins,et al.  Modelling undesirable outputs with zero sum gains data envelopment analysis models , 2008, J. Oper. Res. Soc..

[16]  Sebastián Lozano,et al.  Centralised reallocation of emission permits using DEA , 2009, Eur. J. Oper. Res..

[17]  Eliane Gonçalves Gomes,et al.  Busca sequencial de alvos intermediários em modelos DEA com soma de outputs constante , 2003 .

[18]  A. Charnes,et al.  Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis , 1984 .

[19]  R. Färe,et al.  Efficiency of a fixed but allocatable input: A non-parametric approach , 1997 .

[20]  Abraham Charnes,et al.  Preface to topics in data envelopment analysis , 1984, Ann. Oper. Res..

[21]  John E. Beasley,et al.  Allocating fixed costs and resources via data envelopment analysis , 2003, Eur. J. Oper. Res..

[22]  Eiji Takeda An extended DEA model: Appending an additional input to make all DMUs at least weakly efficient , 2000, Eur. J. Oper. Res..

[23]  J BilleraLouis,et al.  Allocation of Shared Costs , 1982 .

[24]  Eliane Gonçalves Gomes,et al.  Uniformização da fronteira eficiente em modelos de análise de envoltória de dados com ganhos de soma zero e retornos constantes de escala , 2005 .