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An improvement on the Tracy and Chen model ‘A generalized model for weight restrictions in DEA’

Author

Listed:
  • M Khalili

    (Iran University of Science and Technology)

  • A S Camanho

    (Faculdade de Engenharia da Universidade do Porto)

  • M C A S Portela

    (Universidade Católica Portuguesa)

  • M R Alirezaee

    (Iran University of Science and Technology)

Abstract

Recently Tracy and Chen presented a parametric DEA model (PDEA) to assess relative efficiency in the presence of a generalized form of linear weight restrictions. This paper proposes a modification to the PDEA model that avoids the need to resort to searching algorithms to estimate efficiency, and assures that the correct efficiency scores are obtained in a single stage using mathematical programming solvers. The results of this model and the results of Tracy and Chen's PDEA model are compared using the examples reported in their paper. The results confirm the superiority of the model proposed in this paper.

Suggested Citation

  • M Khalili & A S Camanho & M C A S Portela & M R Alirezaee, 2010. "An improvement on the Tracy and Chen model ‘A generalized model for weight restrictions in DEA’," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(12), pages 1789-1793, December.
    • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:12:d:10.1057_jors.2009.140
    DOI: 10.1057/jors.2009.140
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    References listed on IDEAS

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    1. 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.
    2. R. Allen & A. Athanassopoulos & R.G. Dyson & E. Thanassoulis, 1997. "Weights restrictions and value judgements in Data Envelopment Analysis: Evolution, development and future directions," Annals of Operations Research, Springer, vol. 73(0), pages 13-34, October.
    3. Appa, Gautam & Williams, H. Paul, 2006. "A new framework for the solution of DEA models," European Journal of Operational Research, Elsevier, vol. 172(2), pages 604-615, July.
    4. Thompson, Russell G. & Dharmapala, P. S. & Thrall, Robert M., 1995. "Linked-cone DEA profit ratios and technical efficiency with application to Illinois coal mines," International Journal of Production Economics, Elsevier, vol. 39(1-2), pages 99-115, April.
    5. D L Tracy & B Chen, 2005. "A generalized model for weight restrictions in data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(4), pages 390-396, April.
    6. Thompson, Russell G. & Langemeier, Larry N. & Lee, Chih-Tah & Lee, Euntaik & Thrall, Robert M., 1990. "The role of multiplier bounds in efficiency analysis with application to Kansas farming," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 93-108.
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    Cited by:

    1. Panagiotis Ravanos & Giannis Karagiannis, 2023. "On VEA, production trade-offs and weights restrictions," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 74(10), pages 2081-2093, October.

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