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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.
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    5. Francisco Pedraja-Chaparro & Javier Salinas-Jimenez & Peter Smith, 1997. "On the Role of Weight Restrictions in Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 8(2), pages 215-230, May.
    6. 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.
    7. Charnes, A. & Cooper, W. W. & Rhodes, E., 1979. "Measuring the efficiency of decision-making units," European Journal of Operational Research, Elsevier, vol. 3(4), pages 339-338, July.
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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. Jana Borůvková & Martina Kuncová, 2012. "Comparison of the Ophthalmology Departments of the Vysocina Region Hospitals Using DEA Models [Porovnání očních oddělení nemocnic kraje Vysočina pomocí DEA modelů]," Acta Oeconomica Pragensia, Prague University of Economics and Business, vol. 2012(5), pages 75-84.
    3. 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.
    4. Amineh Ghazi & Farhad Hosseinzadeh Lotfi & Masoud Sanei, 2020. "Hybrid efficiency measurement and target setting based on identifying defining hyperplanes of the PPS with negative data," Operational Research, Springer, vol. 20(2), pages 1055-1092, June.
    5. Amineh Ghazi & Farhad Hosseinzadeh Lotfı & Masoud Sanei, 2022. "Finding the strong efficient frontier and strong defining hyperplanes of production possibility set using multiple objective linear programming," Operational Research, Springer, vol. 22(1), pages 165-198, March.
    6. A. Ghazi & F. Hosseinzadeh Lotfi, 2023. "Marginal rates in DEA using defining hyperplanes of PPS with CRS technology," Operational Research, Springer, vol. 23(1), pages 1-37, March.

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