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An MOLP based procedure for finding efficient units in DEA models

Author

Listed:
  • F. Hosseinzadeh Lotfi
  • A. Noora
  • G. Jahanshahloo
  • J. Jablonsky
  • M. Mozaffari

    ()

  • J. Gerami

Abstract

In this paper a multiple objective linear programming (MOLP) problem whose feasible region is the production possibility set with variable returns to scale is proposed. By solving this MOLP problem by multicriterion simplex method, the extreme efficient Pareto points can be obtained. Then the extreme efficient units in data envelopment analysis (DEA) with variable returns to scale, considering the specified theorems and conditions, can be obtained. Therefore, by solving the proposed MOLP problem, the non-dominant units in DEA can be found. Finally, a numerical example is provided. Copyright Springer-Verlag 2009

Suggested Citation

  • F. Hosseinzadeh Lotfi & A. Noora & G. Jahanshahloo & J. Jablonsky & M. Mozaffari & J. Gerami, 2009. "An MOLP based procedure for finding efficient units in DEA models," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 17(1), pages 1-11, March.
  • Handle: RePEc:spr:cejnor:v:17:y:2009:i:1:p:1-11
    DOI: 10.1007/s10100-008-0071-1
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    References listed on IDEAS

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    1. Tarja Joro & Pekka Korhonen & Jyrki Wallenius, 1998. "Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming," Management Science, INFORMS, vol. 44(7), pages 962-970, July.
    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. 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.
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    Citations

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    Cited by:

    1. Josef Jablonsky, 2012. "Multicriteria approaches for ranking of efficient units in DEA models," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(3), pages 435-449, September.
    2. Herimalala, Rahobisoa & Gaussens, Olivier, 2012. "X-Efficiency of Innovation Processes: Concept and Evaluation based on Data Envelopment Analysis," MPRA Paper 41887, University Library of Munich, Germany.
    3. Jana Borůvková & Martina Kuncová, 2012. "Comparison of the Ophthalmology Departments of the Vysocina Region Hospitals Using DEA Models," Acta Oeconomica Pragensia, University of Economics, Prague, vol. 2012(5), pages 75-84.

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