Preference, Production and Performance in Data Envelopment Analysis

This paper attempts to provide a systematic approach to the DEA model building. To this end, we try to identify some essential aspects of DEA modelling. Three key building blocks in a DEA model are identified: they are preference order, production possibility set and performance measure. It is shown that the preferences and performance measurements used in the standard DEA models are only particular examples in this framework. It is also illustrated in this work that this methodology is useful in building new DEA models to handle nonstandard applications such as those involve non-Pareto preferences or undesirable inputs-outputs.

[1]  Boaz Golany,et al.  Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions , 1985 .

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

[3]  Gang Yu,et al.  Analyzing properties of K-cones in the generalized data envelopment analysis model , 1997 .

[4]  Emmanuel Thanassoulis,et al.  Introduction to the theory and application of data envelopment analysis , 2001 .

[5]  V. V. Podinovski,et al.  Suitability and redundancy of non-homogeneous weight restrictions for measuring the relative efficiency in DEA , 2004, Eur. J. Oper. Res..

[6]  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 .

[7]  R. R. Russell,et al.  On the Axiomatic Approach to the Measurement of Technical Efficiency , 1988 .

[8]  Emmanuel Thanassoulis,et al.  Weights restrictions and value judgements in Data Envelopment Analysis: Evolution, development and future directions , 1997, Ann. Oper. Res..

[9]  A. Stewart Antidepressant pharmacotherapy: cost comparison of SSRIs and TCAs , 1994 .

[10]  Abraham Charnes,et al.  Cone ratio data envelopment analysis and multi-objective programming , 1989 .

[11]  Rolf Färe,et al.  Measuring the technical efficiency of production , 1978 .

[12]  Jesús T. Pastor,et al.  Chapter 3 Translation invariance in data envelopment analysis: A generalization , 1996, Ann. Oper. Res..

[13]  L. Seiford,et al.  Translation invariance in data envelopment analysis , 1990 .

[14]  Jesús T. Pastor,et al.  An enhanced DEA Russell graph efficiency measure , 1999, Eur. J. Oper. Res..

[15]  J. Wallenius,et al.  A Value Efficiency Approach to Incorporating Preference Information in Data Envelopment Analysis , 1999 .

[16]  Kaoru Tone,et al.  Data Envelopment Analysis , 1996 .

[17]  Emmanuel Thanassoulis,et al.  Estimating preferred target input−output levels using data envelopment analysis , 1992 .

[18]  Lawrence M. Seiford,et al.  Data envelopment analysis: The evolution of the state of the art (1978–1995) , 1996 .

[19]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[20]  Gary D. Ferrier,et al.  Radial and Nonradial Technical Efficiency Measures on a DEA Reference Technology: A Comparison Using US Banking Data , 1994, Recherches économiques de Louvain.

[21]  Pierre Hansen,et al.  On-line and off-line vertex enumeration by adjacency lists , 1991, Oper. Res. Lett..

[22]  W. Eichhorn,et al.  Measurement in Economics , 1988 .

[23]  Wenbin Liu,et al.  DEA Models via Goal Programming , 1999 .

[24]  Joe Zhu Data Envelopment Analysis with Preference Structure , 1996 .

[25]  Theodor J. Stewart,et al.  Relationships between Data Envelopment Analysis and Multicriteria Decision Analysis , 1996 .

[26]  K. Zieschang An extended farrell technical efficiency measure , 1984 .

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

[28]  Boaz Golany,et al.  An Interactive MOLP Procedure for the Extension of DEA to Effectiveness Analysis , 1988 .

[29]  Katrin Allen,et al.  DEA in the ecological context- An overview• , 1999 .

[30]  Ilya Segal,et al.  Solutions manual for Microeconomic theory : Mas-Colell, Whinston and Green , 1997 .