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

Authors: Mojtaba Ghiyasi

Addresses: Faculty of Industrial Engineering and Management Science, Shahrood University of Technology, Iran

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.

Keywords: data envelopment analysis; DEA; ranking; returns to scale; semi-additive technology.

DOI: 10.1504/IJBPSCM.2019.100848

International Journal of Business Performance and Supply Chain Modelling, 2019 Vol.10 No.3, pp.236 - 252

Received: 21 Feb 2018
Accepted: 26 Mar 2019
Published online: 18 Jul 2019 *

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