An integrated model for SBM and Super-SBM DEA models

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.

Automated summary

In this paper, a linear programming model that integrates SBM and Super-SBM is proposed, which can identify the efficiency of the inefficient DMUs and the super-efficiency of the efficient DMUs simultaneously in one stage. Results show that the proposed model is faster than the model by Tran et al., with a computation time of about two-thirds shorter.