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Some alternative models for DEA cross-efficiency evaluation

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  • Wang, Ying-Ming
  • Chin, Kwai-Sang

Abstract

Cross-efficiency evaluation is an effective method for ranking decision-making units (DMUs) in data envelopment analysis (DEA) and can be performed with different formulations (aggressive or benevolent), secondary goals, and models. This paper proposes some new alternative models for DEA cross-efficiency evaluation to provide more methodological options for the decision maker (DM) to choose from. The proposed new alternative models are illustrated with two numerical examples. The results are believed to be more realistic than those obtained by the alternative secondary goals suggested by Liang et al. [Liang, L., Wu, J., Cook, W.D. and Zhu, J., 2008a. Alternative secondary goals in DEA cross-efficiency evaluation. International Journal of Production Economics 113 (2), 1025-1030].

Suggested Citation

  • Wang, Ying-Ming & Chin, Kwai-Sang, 2010. "Some alternative models for DEA cross-efficiency evaluation," International Journal of Production Economics, Elsevier, vol. 128(1), pages 332-338, November.
    • Handle: RePEc:eee:proeco:v:128:y:2010:i:1:p:332-338
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    1. W-M Lu & S-F Lo, 2007. "A benchmark-learning roadmap for regional sustainable development in China," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(7), pages 841-849, July.
    2. Lu, Wen-Min & Lo, Shih-Fang, 2007. "A closer look at the economic-environmental disparities for regional development in China," European Journal of Operational Research, Elsevier, vol. 183(2), pages 882-894, December.
    3. Timothy Anderson & Keith Hollingsworth & Lane Inman, 2002. "The Fixed Weighting Nature of A Cross-Evaluation Model," Journal of Productivity Analysis, Springer, vol. 17(3), pages 249-255, May.
    4. Wu, Desheng Dash, 2009. "Performance evaluation: An integrated method using data envelopment analysis and fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 194(1), pages 227-235, April.
    5. 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.
    6. Xu, Jiuping & Li, Bin & Wu, Desheng, 2009. "Rough data envelopment analysis and its application to supply chain performance evaluation," International Journal of Production Economics, Elsevier, vol. 122(2), pages 628-638, December.
    7. 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.
    8. Tofallis, C., 1996. "Improving discernment in DEA using profiling," Omega, Elsevier, vol. 24(3), pages 361-364, June.
    9. Barros, Carlos Pestana & Peypoch, Nicolas, 2009. "An evaluation of European airlines' operational performance," International Journal of Production Economics, Elsevier, vol. 122(2), pages 525-533, December.
    10. Kao, Chiang, 2010. "Congestion measurement and elimination under the framework of data envelopment analysis," International Journal of Production Economics, Elsevier, vol. 123(2), pages 257-265, February.
    11. Bruni, M.E. & Conforti, D. & Beraldi, P. & Tundis, E., 2009. "Probabilistically constrained models for efficiency and dominance in DEA," International Journal of Production Economics, Elsevier, vol. 117(1), pages 219-228, January.
    12. C-P Bao & T-H Chen & S-Y Chang, 2008. "Slack-based ranking method: an interpretation to the cross-efficiency method in DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(6), pages 860-862, June.
    13. Shang, Jen & Sueyoshi, Toshiyuki, 1995. "A unified framework for the selection of a Flexible Manufacturing System," European Journal of Operational Research, Elsevier, vol. 85(2), pages 297-315, September.
    14. Muhittin Oral & Ossama Kettani & Pascal Lang, 1991. "A Methodology for Collective Evaluation and Selection of Industrial R&D Projects," Management Science, INFORMS, vol. 37(7), pages 871-885, July.
    15. Leleu, Hervé & Briec, Walter, 2009. "A DEA estimation of a lower bound for firms' allocative efficiency without information on price data," International Journal of Production Economics, Elsevier, vol. 121(1), pages 203-211, September.
    16. 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.
    17. Ertay, Tijen & Ruan, Da, 2005. "Data envelopment analysis based decision model for optimal operator allocation in CMS," European Journal of Operational Research, Elsevier, vol. 164(3), pages 800-810, August.
    18. Liang Liang & Jie Wu & Wade D. Cook & Joe Zhu, 2008. "The DEA Game Cross-Efficiency Model and Its Nash Equilibrium," Operations Research, INFORMS, vol. 56(5), pages 1278-1288, October.
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