Integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis

Trung Hieu Tran, Yong Mao, Paul Nathanail, Peer-Olaf Siebers and Darren Robinson

Omega, 2019, vol. 85, issue C, 156-165

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 (2001) [20] before applying the super SBM model of Tone (2002) [21] for the DMUs to achieve their super-efficiency scores, our integration can obtain the efficiency scores of the inefficient DMUs and the super-efficiency scores of the efficient DMUs by solving simultaneously these two models by an one-stage 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.

Keywords: Data envelopment analysis (DEA); Slacks-based measure; Efficiency; Super-efficiency; One-stage approach; Linearisation (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (20)

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DOI: 10.1016/j.omega.2018.06.008

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