An extension on super slacks-based measure DEA approach

Ya Chen (), Yongjun Li (), Liang Liang () and Huaqing Wu ()
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Yongjun Li: University of Science and Technology of China
Liang Liang: University of Science and Technology of China
Huaqing Wu: Hefei University of Technology

Annals of Operations Research, 2019, vol. 278, issue 1, No 6, 121 pages

Abstract: Abstract In order to break the tie of efficient decision-making units, super-efficiency data envelopment analysis is proposed to fully discriminate them. Recently, a slacks-based version of the super slacks-based measure (S-SBM) is developed and a novel two-stage approach is proposed to calculate both super-efficiency score by the S-SBM model and efficiency score by the slacks-based measure model. In this paper, we extend the approach to consider continuity of efficiency scores. We illustrate the discontinuity of efficiency measure, and define a continuous slacks-based measure which is proved continuous and directly calculated. An interesting efficiency zone category is also provided. In addition, this paper investigates the relationship among the super-efficiency measures of the proposed approach and some existing approaches under variable returns to scale.

Keywords: Data envelopment analysis (DEA); Slacks-based measure (SBM); Super-efficiency; Continuity; Pareto-efficient; Variable returns to scale (VRS) (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10479-017-2495-2

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