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A novel slacks-based model for efficiency and super-efficiency in DEA-R

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Abstract

In this paper we present a new model combining the major underlying ideas behind the Slacks-Based Measure (SBM) and the Data Envelopment Analysis-Ratio based (DEA-R) models. This new proposed model computes efficiency and super-efficiency scores based on the corresponding slack values for both input/output and output/input ratios, depending upon the orientation of the production frontier. A comprehensive step-by-step derivation of the SBM-DEA-R model in light of previous approaches is offered to readers. Besides, in order to show the validity of the approach proposed in light of the current body of literature, we revisit a case study of twenty-one medical centers in Taiwan. Limitations and directions for future research are discussed.

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Authors and Affiliations

  1. Department of Mathematics, Shiraz branch, Islamic Azad University, Shiraz, Iran

    Javad Gerami & Mohammad Reza Mozaffari

  2. COPPEAD Graduate Business School, Federal University of Rio de Janeiro, Rua Paschoal Lemme, Rio de Janeiro, 355, Brazil

    P. F. Wanke

  3. Crummer School of Business, Rollins College, Winter Park, FL, USA

    Henrique Correa

Authors
  1. Javad Gerami
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  2. Mohammad Reza Mozaffari
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  3. P. F. Wanke
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  4. Henrique Correa
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Correspondence to Javad Gerami or Henrique Correa.

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Gerami, J., Mozaffari, M.R., Wanke, P.F. et al. A novel slacks-based model for efficiency and super-efficiency in DEA-R. Oper Res Int J 22, 3373–3410 (2022). https://doi.org/10.1007/s12351-021-00679-6

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  • DOI: https://doi.org/10.1007/s12351-021-00679-6

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