Title: Ranking non-extreme efficient units based on super efficiency method in the presence of undesirable outputs: a DEA approach

Authors: Gholamreza Jahanshahloo; Farhad Hosseinzadeh Lotfi; Mohsen Rostamy-Malkhalifeh; Reza Maddahi; Ali Ebrahimnejad

Addresses: Department of Mathematics, Science and Research Branch, Islamic Azad University, P.O. Box 14778, Tehran, Iran ' Department of Mathematics, Science and Research Branch, Islamic Azad University, P.O. Box 14778, Tehran, Iran ' Department of Mathematics, Science and Research Branch, Islamic Azad University, P.O. Box 14778, Tehran, Iran ' Department of Mathematics, Science and Research Branch, Islamic Azad University, P.O. Box 14778, Tehran, Iran ' Department of Mathematics, Qaemshahr Branch, Islamic Azad University, P.O. Box 163, Qaemshahr, Iran

Abstract: Data envelopment analysis (DEA) is a non-parametric method for analysing the performance of a set of decision-making units (DMUs). Computing the efficiency scores and ranking each organisation are two important parts of analysing performance. A large number of DEA models have been proposed for ranking DMUs, but most of them are unable to rank non-extreme efficient units. In this paper, a method is proposed based on super efficiency approach for ranking all DMUs, including extreme efficient, non-extreme efficient and inefficient units. Then, the suggested method is applied for ranking DMUs in which undesirable outputs are also produced in the production process. Finally, numerical examples are provided to illustrate the proposed approach.

Keywords: data envelopment analysis; DEA; range adjusted measures; DMU ranking; super efficiency; undesirable outputs; decision making units; DMUs.

DOI: 10.1504/IJADS.2013.052626

International Journal of Applied Decision Sciences, 2013 Vol.6 No.1, pp.83 - 95

Received: 04 Dec 2012
Accepted: 04 Dec 2012
Published online: 28 Nov 2013 *

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