Integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis
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...
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| Format: | Article |
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Elsevier
2018
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| Online Access: | https://eprints.nottingham.ac.uk/52691/ |
| _version_ | 1848798787008462848 |
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| author | Tran, Trung Hieu Mao, Yong Nathanail, Paul Siebers, Peer-Olaf Robinson, Darren |
| author_facet | Tran, Trung Hieu Mao, Yong Nathanail, Paul Siebers, Peer-Olaf Robinson, Darren |
| author_sort | Tran, Trung Hieu |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:25:19Z |
| format | Article |
| id | nottingham-52691 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:25:19Z |
| publishDate | 2018 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-526912020-05-04T19:40:57Z https://eprints.nottingham.ac.uk/52691/ 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 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. Elsevier 2018-06-15 Article PeerReviewed Tran, Trung Hieu, Mao, Yong, Nathanail, Paul, Siebers, Peer-Olaf and Robinson, Darren (2018) Integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis. Omega . ISSN 0305-0483 Data envelopment analysis (DEA) ; Slacks-based measure ; Efficiency ; Super-efficiency ; One-stage approach ; Linearisation https://www.sciencedirect.com/science/article/pii/S0305048317308472?via%3Dihub doi:10.1016/j.omega.2018.06.008 doi:10.1016/j.omega.2018.06.008 |
| spellingShingle | Data envelopment analysis (DEA) ; Slacks-based measure ; Efficiency ; Super-efficiency ; One-stage approach ; Linearisation Tran, Trung Hieu Mao, Yong Nathanail, Paul Siebers, Peer-Olaf Robinson, Darren Integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis |
| title | Integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis |
| title_full | Integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis |
| title_fullStr | Integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis |
| title_full_unstemmed | Integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis |
| title_short | Integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis |
| title_sort | integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis |
| topic | Data envelopment analysis (DEA) ; Slacks-based measure ; Efficiency ; Super-efficiency ; One-stage approach ; Linearisation |
| url | https://eprints.nottingham.ac.uk/52691/ https://eprints.nottingham.ac.uk/52691/ https://eprints.nottingham.ac.uk/52691/ |