Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment Analysis

Tran, Trung Hieu and Mao, Yong and Nathanail, C. Paul and Siebers, Peer-Olaf and Robinson, Darren (2018) Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment Analysis. Omega, 85 . pp. 156-165. ISSN 0305-0483

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Abstract

In this paper, we develop an integrated model for slacks- based measure (SBM) simultaneously of both the efficiency and the super-efficiency for decision-making units (DMUs) in data envelopment analysis (DEA). Unlike the traditional solution approaches in which we need to identify the efficient DMUs by the SBM model of Tone [20] before applying the super SBM model of Tone [21] for the DMUs to achieve their super-effciency scores, our integration can obtain the efficiency scores of the infficient DMUs and the super-efficiency scores of the efficient DMUs by solving simultaneously these two models by an onestage approach. Therefore, it may save computational time for large-scale practical applications. Due to the non-linearity in the objective function of this integrated model, we develop a linearisation technique to deal with the non-linear model. The numerical experiments, carried out on several examples in the literature and a case study, have demonstrated the accuracy and the computational time effectiveness of our proposed model as compared with the traditional solution approaches

Item Type: Article
Keywords: Data envelopment analysis (DEA); Slacks-based measure; Efficiency; Super-efficiency; One-stage approach; Linearisation
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Identification Number: https://doi.org/10.1016/j.omega.2018.06.008
Depositing User: Mao, Yong
Date Deposited: 23 Jul 2018 14:44
Last Modified: 17 Apr 2019 07:39
URI: http://eprints.nottingham.ac.uk/id/eprint/53093

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