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Classification of Data Envelopment Analysis models

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  • Anna Cwiakala-Malys

    ()
    (Instytut Nauk Ekonomicznych, Uniwersytet Wroclawski, Poland)

  • Wioletta Nowak

    ()
    (Instytut Nauk Ekonomicznych, Uniwersytet Wroclawski, Poland)

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    Abstract

    This article contains a method for classifying Data Envelopment Analysis models. Two main criteria i.e. orientation and returns to scale are used. These criteria enable distinguishing between oriented and non-oriented DEA models with constant and variable returns to scale. Basic properties of input oriented and output oriented DEA models with constant returns to scale are illustrated using an example of the CCR model. The BCC model is used to characterize the oriented DEA model with variable returns to scale. A graphical presentation of the efficiency frontier and the efficiency measure and primal and dual programming problems are presented for both types of models. In the article an additive model is considered as an example of a non-oriented DEA model. Moreover, other ways of classifying DEA models are also shown.

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    File URL: http://www.ioz.pwr.wroc.pl/boid/artykuly/3-2009/art-1-cwiakala.pdf
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    Bibliographic Info

    Article provided by Wroclaw University of Technology, Institute of Organization and Management in its journal Operations Research and Decisions.

    Volume (Year): 3 (2009)
    Issue (Month): ()
    Pages: 5-18

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    Handle: RePEc:wut:journl:v:3:y:2009:p:5-18

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    Related research

    Keywords: Data Envelopment Analysis (DEA); relative efficiency; orientation; returns to scale;

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    1. Kleine, A., 2004. "A general model framework for DEA," Omega, Elsevier, vol. 32(1), pages 17-23, February.
    2. Berger, A. N. & Brockett, P. L. & Cooper, W. W. & Pastor, J. T., 1997. "New approaches for analyzing and evaluating the performance of financial institutions," European Journal of Operational Research, Elsevier, vol. 98(2), pages 170-174, April.
    3. Cook, Wade D. & Seiford, Larry M., 2009. "Data envelopment analysis (DEA) - Thirty years on," European Journal of Operational Research, Elsevier, vol. 192(1), pages 1-17, January.
    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. Emrouznejad, Ali & Parker, Barnett R. & Tavares, Gabriel, 2008. "Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA," Socio-Economic Planning Sciences, Elsevier, vol. 42(3), pages 151-157, September.
    6. Banker, Rajiv D. & Cooper, William W. & Seiford, Lawrence M. & Thrall, Robert M. & Zhu, Joe, 2004. "Returns to scale in different DEA models," European Journal of Operational Research, Elsevier, vol. 154(2), pages 345-362, April.
    7. Gattoufi, Said & Oral, Muhittin & Reisman, Arnold, 2004. "A taxonomy for data envelopment analysis," Socio-Economic Planning Sciences, Elsevier, vol. 38(2-3), pages 141-158.
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