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Equivalent standard DEA models to provide super-efficiency scores

Author

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  • C A K Lovell

    (Terry College of Business, University of Georgia)

  • A P B Rouse

    (The University of Auckland)

Abstract

DEA super-efficiency models were introduced originally with the objective of providing a tie-breaking procedure for ranking units rated as efficient in conventional DEA models. This objective has been expanded to include sensitivity analysis, outlier identification and inter-temporal analysis. However, not all units rated as efficient in conventional DEA models have feasible solutions in DEA super-efficiency models. We propose a new super-efficiency model that (a) generates the same super-efficiency scores as conventional super-efficiency models for all units having a feasible solution under the latter, and (b) generates a feasible solution for all units not having a feasible solution under the latter. Empirical examples are provided to compare the two super-efficiency models.

Suggested Citation

  • C A K Lovell & A P B Rouse, 2003. "Equivalent standard DEA models to provide super-efficiency scores," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(1), pages 101-108, January.
    • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:1:d:10.1057_palgrave.jors.2601483
    DOI: 10.1057/palgrave.jors.2601483
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    References listed on IDEAS

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    1. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
    2. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    3. William Cooper & Kyung Park & Jesus Pastor, 1999. "RAM: A Range Adjusted Measure of Inefficiency for Use with Additive Models, and Relations to Other Models and Measures in DEA," Journal of Productivity Analysis, Springer, vol. 11(1), pages 5-42, February.
    4. J. J. Rousseau & J. H. Semple, 1995. "Two-Person Ratio Efficiency Games," Management Science, INFORMS, vol. 41(3), pages 435-441, March.
    5. Zhu, Joe, 1996. "Robustness of the efficient DMUs in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 90(3), pages 451-460, May.
    6. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    7. Seiford, Lawrence M. & Zhu, Joe, 1998. "Stability regions for maintaining efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 108(1), pages 127-139, July.
    8. Lawrence Seiford, 1997. "A bibliography for Data Envelopment Analysis (1978-1996)," Annals of Operations Research, Springer, vol. 73(0), pages 393-438, October.
    9. Mei Xue & Patrick T. Harker, 2002. "Note: Ranking DMUs with Infeasible Super-Efficiency DEA Models," Management Science, INFORMS, vol. 48(5), pages 705-710, May.
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