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Alternative DEA Models

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Data Envelopment Analysis

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  1. R. D. Banker, A. Charnes and W.W. Cooper (1984) “Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis,” Management Science 30, pp.1078–1092

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  2. For a discussion of this constant-returns-to-scale Additive model see A.I. Ali and L.M. Seiford, “The Mathematical Programming Approach to Efficiency Measurement,” in The Measurement of Productive Efficiency: Techniques and Applications, H. Fried, C. A. Knox Lovell, and S. Schmidt (editors), Oxford University Press, London, (1993).

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  3. T. Ahn, A. Charnes and W.W. Cooper (1988) “Efficiency Characterizations in Different DEA Models,” Socio-Economic Planning Sciences, 22, pp.253–257.

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  4. P.L. Brockett, W.W. Cooper, L.L. Golden, J.J. Rousseau and Y. Wang “DEA Evaluation of Organizational Forms and Distribution System in the U.S. Property and Liability Insurance Industry,” International Journal of Systems Science, 1998.

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  5. A.I. Ali and L.M. Seiford (1990) “Translation Invariance in Data Envelopment Analysis,” Operations Research Letters 9, pp.403–405.

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  6. This term is taken from the literature on dimensional analysis. See pp.123–125, in R.M. Thrall “Duality, Classification and Slacks in DEA” Annals of Operations Research 66, 1996.

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  7. See the paper by T. Ahn and L.M. Seiford “Sensitivity of DEA Results to Models and Variable Sets in a Hypothesis Test Setting: The Efficiency of University Operations” in Y. Ijiri, ed., Creative and Innovative Approaches to the Science of Management (New York: Quorum Books, 1993). In this paper Ahn and Seiford find that U.S. public universities are more efficient than private universities when student outputs are emphasized but the reverse is true when research is emphasized. The result, moreover, is found to be invariant over all of the DEA models used in this study. For “methods” cross-checking, C.A.K. Lovell, L. Walters and L. Wood compare statistical regressions with DEA results in “Stratified Models of Education Production Using Modified DEA and Regression Analysis,” in Data Envelopment Analysis: Theory, Methodology and Applications (Norwell, Mass.: Kluwer Academic Publishers, 1994.)

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  8. J.T. Pastor (1996) “Translation Invariance in DEA: A Generalization,” Annals of Operations Research 66, pp.93–102.

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  9. R.M. Thrall (1996) “The Lack of Invariance of Optimal Dual Solutions Under Translation,” Annals of Operations Research 66, pp. 103–108.

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  10. K. Tone “A Slacks-based Measure of Efficiency in Data Envelopment Analysis,” Research Reports, Graduate School of Policy Science, Saitama University, Urawa, Saitama, Japan, 1997, also forthcoming in European Journal of Operational Research.

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  11. Deprins D., L. Simar and H. Tulkens (1984) “Measuring Labor Efficiency in Post Offices” in M. Marchand, P. Pestieau and H. Tulkens, eds. The Performance of Public Enterprises: Concepts and Measurement (Amsterdam, North Holland), pp.243–267.

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  12. See the review on pp. 205–210 in C.A.K. Lovell “Linear Programming Approaches to the Measurement and Analysis of Productive Efficiency,” TOP 2, 1994, pp. 175–243.

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  13. Bowlin, W.F., J. Brennan, A. Charnes, W.W. Cooper and T. Sueyoshi (1984) “A Model for Measuring Amounts of Efficiency Dominance,” Research Report, The University of Texas at Austin, Graduate School of Business. See also Bardhan I., W.F. Bowlin, W.W. Cooper and T. Sueyoshi “Models and Measures for Efficiency Dominance in DEA,” Journal of the Operations Research Society of Japan 39, 1996, pp.322–332.

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  14. R.M. Thrall (1999) “What is the Economic Meaning of FDH?” Journal of Productivity Analysis, 11, pp.243–250.

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  15. See R.S. Färe and C.A.K. Lovell (1978) “Measuring the Technical Efficiency of Production,” Journal of Economic Theory 19, pp.150–162. See also R.R. Russell (1985) “Measures of Technical Efficiency,” Journal of Economic Theory 35, pp.109–126.

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© 2002 Kluwer Academic Publishers

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(2002). Alternative DEA Models. In: Data Envelopment Analysis. Springer, Boston, MA. https://doi.org/10.1007/0-306-47541-3_4

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  • DOI: https://doi.org/10.1007/0-306-47541-3_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-7923-8693-3

  • Online ISBN: 978-0-306-47541-2

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