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Selective measures in data envelopment analysis

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An Erratum to this article was published on 02 September 2015

Abstract

Data envelopment analysis (DEA) is a data based mathematical approach, which handles large numbers of variables, constraints, and data. Hence, data play an important and critical role in DEA. Given a set of decision making units (DMUs) and identified inputs and outputs (performance measures), DEA evaluates each DMU in comparison with all DMUs. According to some statistical and empirical rules, a balance between the number of DMUs and the number of performance measures should exist. However, in some situations the number of performance measures is relatively large in comparison with the number of DMUs. These cases lead us to choose some inputs and outputs in a way that produces acceptable results. We refer to these selected inputs and outputs as selective measures. This paper presents an approach toward a large number of inputs and outputs. Individual DMU and aggregate models are recommended and expanded separately for developing the idea of selective measures. The practical aspect of the new approach is illustrated by two real data set applications.

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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 of Administration, Technical University of Ostrava, Sokolská třída 33, 701 21 , Ostrava 1, Czech Republic

    Mehdi Toloo

  2. Department of Mathematics, Mahshahr Branch, Islamic Azad University, Mahshahr, Iran

    Mona Barat

  3. Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran

    Atefeh Masoumzadeh

Authors
  1. Mehdi Toloo
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  2. Mona Barat
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  3. Atefeh Masoumzadeh
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Correspondence to Mehdi Toloo.

Appendix

Appendix

See Tables 5 and 6.

Table 5 Papers contain practical applications
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Table 6 Inputs and outputs in bank studies
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Toloo, M., Barat, M. & Masoumzadeh, A. Selective measures in data envelopment analysis. Ann Oper Res 226, 623–642 (2015). https://doi.org/10.1007/s10479-014-1714-3

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