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


  • Kaoru Tone

    (National Graduate Institute for Policy Studies)


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.

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  • Kaoru Tone, 2016. "On the Consistency of Slacks-based Measure-Max Model and Super-Slacks-based Measure Model," GRIPS Discussion Papers 16-24, National Graduate Institute for Policy Studies.
  • Handle: RePEc:ngi:dpaper:16-24

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    1. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    2. Hirofumi Fukuyama & Hiroya Masaki & Kazuyuki Sekitani & Jianming Shi, 2014. "Distance optimization approach to ratio-form efficiency measures in data envelopment analysis," Journal of Productivity Analysis, Springer, vol. 42(2), pages 175-186, October.
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