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

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

Authors

Trung Hieu Tran

Yong Mao

Paul Nathanail

Darren Robinson



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.

Journal Article Type Article
Publication Date Jun 1, 2019
Journal Omega
Print ISSN 0305-0483
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 85
Pages 156-165
APA6 Citation Tran, T. H., Mao, Y., Nathanail, P., Siebers, P., & Robinson, D. (2019). Integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis. Omega, 85, 156-165. https://doi.org/10.1016/j.omega.2018.06.008
DOI https://doi.org/10.1016/j.omega.2018.06.008
Keywords Data envelopment analysis (DEA) ; Slacks-based measure ; Efficiency ; Super-efficiency ; One-stage approach ; Linearisation
Publisher URL https://www.sciencedirect.com/science/article/pii/S0305048317308472?via%3Dihub
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0





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