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Full ranking of efficient and inefficient DMUs with the same measure of efficiency in DEA

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  • Mojtaba Ghiyasi

Abstract

Data envelopment analysis (DEA) is a mathematical programming approach for calculating the relative efficiency of a group of decision making units (DMUs). After efficiency measurement process some DMUs may have the same measure of efficiency, specifically some DMUs may be found efficient. The question is which DMU performs better within a group of DMUs with the same measure of efficiency. The current article aims to answer this question based the DMU's aid not only to the associated group but also its aid to the whole production system. This yields to two ranking indices. The first index is for ranking inefficient DMUs with the same measure of efficiency and the second index is for ranking efficient DMUs. A comparison between the proposed approaches and well-known ranking index in the literature is provided and proposed approaches are explained by many numerical examples and a real life data illustration.

Suggested Citation

  • Mojtaba Ghiyasi, 2019. "Full ranking of efficient and inefficient DMUs with the same measure of efficiency in DEA," International Journal of Business Performance and Supply Chain Modelling, Inderscience Enterprises Ltd, vol. 10(3), pages 236-252.
    • Handle: RePEc:ids:ijbpsc:v:10:y:2019:i:3:p:236-252
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    Cited by:

    1. Nomita Pachar & Jyoti Dhingra Darbari & Kannan Govindan & P. C. Jha, 2022. "Sustainable performance measurement of Indian retail chain using two-stage network DEA," Annals of Operations Research, Springer, vol. 315(2), pages 1477-1515, August.
    2. T. Prabhuram & M. Rajmohan & Youchao Tan & R. Robert Johnson, 2020. "Performance evaluation of Omni channel distribution network configurations using multi criteria decision making techniques," Annals of Operations Research, Springer, vol. 288(1), pages 435-456, May.

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