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Alternative secondary goals in DEA cross-efficiency evaluation

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  • Liang, Liang
  • Wu, Jie
  • Cook, Wade D.
  • Zhu, Joe

Abstract

As an extension to data envelopment analysis (DEA), cross-efficiency evaluation not only provides a ranking among the decision-making units (DMUs) but also eliminates unrealistic DEA weighting schemes without requiring a priori information on weight restrictions. A factor that possibly reduces the usefulness of the cross-efficiency evaluation method is that the cross-efficiency scores may not be unique due to the presence of alternate optima. As a result, it is recommended that secondary goals be introduced in cross-efficiency evaluation. This paper seeks to extend the model of Doyle and Green [1994. Efficiency and cross efficiency in DEA: Derivations, meanings and the uses. Journal of the Operational Research Society 45 (5), 567-578], by introducing a number of different secondary objective functions. The models are illustrated with examples.

Suggested Citation

  • Liang, Liang & Wu, Jie & Cook, Wade D. & Zhu, Joe, 2008. "Alternative secondary goals in DEA cross-efficiency evaluation," International Journal of Production Economics, Elsevier, vol. 113(2), pages 1025-1030, June.
  • Handle: RePEc:eee:proeco:v:113:y:2008:i:2:p:1025-1030
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    References listed on IDEAS

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    1. Beasley, J. E., 2003. "Allocating fixed costs and resources via data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 147(1), pages 198-216, May.
    2. Zhu, Joe, 1998. "Data envelopment analysis vs. principal component analysis: An illustrative study of economic performance of Chinese cities," European Journal of Operational Research, Elsevier, vol. 111(1), pages 50-61, November.
    3. Adler, Nicole & Friedman, Lea & Sinuany-Stern, Zilla, 2002. "Review of ranking methods in the data envelopment analysis context," European Journal of Operational Research, Elsevier, vol. 140(2), pages 249-265, July.
    4. 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.
    5. M.D. Troutt, 1997. "Derivation of the Maximin Efficiency Ratio model from the maximum decisional efficiency principle," Annals of Operations Research, Springer, vol. 73(0), pages 323-338, October.
    6. Green, Rodney H. & Doyle, John R. & Cook, Wade D., 1996. "Preference voting and project ranking using DEA and cross-evaluation," European Journal of Operational Research, Elsevier, vol. 90(3), pages 461-472, May.
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