An integrated model for SBM and Super-SBM DEA models

Abstract

Tone proposed a super-efficiency slacks-based measure (SBM) model, known as Super-SBM, which can’t identify the efficiency of the inefficient DMU. However, the super-efficiency model for radial measure can identify both the efficiency for the inefficient DMUs and the super-efficiency for the efficient DMUs with one model. Tran et al. proposed a binary linear programming model that integrates the SBM and Super-SBM. In this paper, we propose a linear programming model that integrates SBM and Super-SBM. With the proposed model, we can identify the efficiency of the inefficient DMUs as the SBM model and the super-efficiency of the efficient DMUs as the Super-SBM model at one stage. Results show that our model is faster than that of Tran et al. Our computation time is about only two-third of that of Tran et al.

Keywords:

• Data envelopment analysis (DEA)
• efficiency
• integrated model
• Slacks-based measure (SBM)
• super-efficiency

Acknowledgements

This research was partially supported by the Ministry of Science and Technology, Republic of China (Taiwan). The author is also grateful to the comments and suggestions provided by anonymous reviewers.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by Ministry of Science and Technology (Grant no. MOST-107-2410-H-019-009-), Taiwan