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**A slacks-based measure of super-efficiency in data envelopment analysis.**
*(English)*
Zbl 1073.90520

Summary: In most models of Data Envelopment Analysis (DEA), the best performers have the full efficient status denoted by unity (or 100%), and, from experience, we know that usually plural Decision Making Units (DMUs) have this ”efficient status”. To discriminate between these efficient DMUs is an interesting subject. This paper addresses this ”super-efficiency” issue by using the slacks-based measure (SBM) of efficiency, which the author proposed in his previous paper [Eur. J. Oper. Res. 130, No. 3, 498–509 (2001; Zbl 0990.90523)]. The method differs from the traditional one based on the radial measure, e.g. Andersen and Petersen model, in that the former deals directly with slacks in inputs/outputs, while the latter does not take account of the existence of slacks. We will demonstrate the rationality of our approach by comparing it with the radial measure of super-efficiency. The proposed method will be particularly useful when the number of DMUs are small compared with the number of criteria employed for evaluation.

### MSC:

90B50 | Management decision making, including multiple objectives |

### Keywords:

DEA; Efficiency; Super-efficiency; Slacks; Units invariant; Multiple criteria decision-making### Citations:

Zbl 0990.90523
Full Text:
DOI

### References:

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