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A linear relational DEA model to evaluate two-stage processes with shared inputs

Computational and Applied Mathematics volume 36, pages 45–61 (2017)Cite this article

Abstract

Two-stage data envelopment analysis (DEA) efficiency models identify the efficient frontier of a two-stage production process. In some two-stage processes, the inputs to the first stage are shared by the second stage, known as shared inputs. This paper proposes a new relational linear DEA model for dealing with measuring the efficiency score of two-stage processes with shared inputs under constant returns-to-scale assumption. Two case studies of banking industry and university operations are taken as two examples to illustrate the potential applications of the proposed approach.

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Acknowledgments

The research was supported by the Czech Science Foundation (GACR project 14-31593S) and through European Social Fund within the project CZ.1.07/2.3.00/20.0296.

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Authors and Affiliations

  1. Department of Business Administration, Technical University of Ostrava, Ostrava, Czech Republic

    Mehdi Toloo

  2. Aston Business School, Aston University, Birmingham, B4 7ET, UK

    Ali Emrouznejad

  3. Department of Industrial Management, University of Seville, Seville, Spain

    Plácido Moreno

Authors
  1. Mehdi Toloo
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  2. Ali Emrouznejad
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  3. Plácido Moreno
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Corresponding author

Correspondence to Mehdi Toloo.

Additional information

Communicated by Antonio José Silva Neto.

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Toloo, M., Emrouznejad, A. & Moreno, P. A linear relational DEA model to evaluate two-stage processes with shared inputs. Comp. Appl. Math. 36, 45–61 (2017). https://doi.org/10.1007/s40314-014-0211-2

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  • DOI: https://doi.org/10.1007/s40314-014-0211-2

Keywords

  • Data envelopment analysis (DEA)
  • Shared inputs
  • Two-stage processes
  • IT investment
  • Research income

Mathematics Subject Classification

  • 90C05
  • 90C30
  • 90C90