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Finding The Reference Set Of A Decision Making Unit

Author

Listed:
  • G. R. JAHANSHAHLOO

    (Faculty of Mathematical Science and Computer Engineering, Tarbiat Moallem University, Tehran, Iran)

  • A. SHIRZADI

    (Department of Mathematics, Imam Khomeini International University, Qazvin, Iran)

  • S. M. MIRDEHGHAN

    (Faculty of Mathematical Science and Computer Engineering, Tarbiat Moallem University, Tehran, Iran)

Abstract

In this paper we propose a method for finding the reference set of a decision making unit (DMU), without chasing down all alternative optimal solutions of the envelopment form, which is a strong degenerate problem. The reference set is useful as a benchmark for an inefficient DMU, for identifying the status of returns to scale, ranking of DMUs and so on. Lastly, numerical examples are shown to illustrate our proposed approach.

Suggested Citation

  • G. R. Jahanshahloo & A. Shirzadi & S. M. Mirdehghan, 2008. "Finding The Reference Set Of A Decision Making Unit," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(04), pages 563-573.
    • Handle: RePEc:wsi:apjorx:v:25:y:2008:i:04:n:s0217595908001869
    DOI: 10.1142/S0217595908001869
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    References listed on IDEAS

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    1. P. Korhonen, 1997. "Searching the Efficient Frontier in Data Envelopment Analysis," Working Papers ir97079, International Institute for Applied Systems Analysis.
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    Cited by:

    1. Mirdehghan, S. Morteza & Fukuyama, Hirofumi, 2016. "Pareto–Koopmans efficiency and network DEA," Omega, Elsevier, vol. 61(C), pages 78-88.
    2. Soo-Hyun Lee & Su-Yol Lee, 2018. "An Analysis of the Effects of Climate Change Policy, Stakeholder Pressure, and Corporate Carbon Management on Carbon Efficiency on the Korean Petrochemical Industry," Sustainability, MDPI, vol. 10(12), pages 1-16, November.
    3. Fukuyama, Hirofumi & Mirdehghan, S.M., 2012. "Identifying the efficiency status in network DEA," European Journal of Operational Research, Elsevier, vol. 220(1), pages 85-92.
    4. Mehdiloozad, Mahmood & Mirdehghan, S. Morteza & Sahoo, Biresh K. & Roshdi, Israfil, 2015. "On the identification of the global reference set in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 245(3), pages 779-788.

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    More about this item

    Keywords

    Data envelopment analysis; reference set;

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