On the Consistency of Slacks-based Measure-Max Model and Super-Slacks-based Measure Model

Kaoru Tone ()
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Kaoru Tone: National Graduate Institute for Policy Studies

No 16-24, GRIPS Discussion Papers from National Graduate Institute for Policy Studies

Abstract: Slacks-based measure (SBM) (Tone (2001), Pastor et al. (1999)) has been widely utilized as a representative non-radial DEA model. However, this model, called SBM-Min here, evaluates the efficiency of an inefficient DMU referring to the furthest frontier point within a range. In contrast, the SBM-Max model looks for the nearest frontier point and hence its score is generally greater than the SBM-Min score. The Super-SBM model (Tone (2002)) evaluates the efficiency of an efficient DMU referring to the nearest point on the frontier except itself. We can foresee a close connection between SBM-Max and Super-SBM models, because the motivations behind the two models are same. In this paper we demonstrate this consistency using a real dataset.

Pages: 10 pages
Date: 2016-11
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