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Identifying the global reference set in DEA: a mixed 0–1 LP formulation with an equivalent LP relaxation

Author

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  • Mahmood Mehdiloozad

    (Shiraz University)

Abstract

The recent study by Mehdiloozad et al. (in Eur J Oper Res 245:779–788, 2015. doi: 10.1016/j.ejor.2015.03.029 ) proposes a linear programming (LP) model for the problem of finding the global reference set (GRS) of an inefficient decision-making unit. The purpose of the current communication is to create an alternative mixed 0–1 linear programming framework for generating the same LP model. Toward this end, first, we reformulate the problem under consideration as a new mixed 0–1 LP model. Then, using the LP relaxation method, we drive the LP model of Mehdiloozad et al. (in Eur J Oper Res 245:779–788, 2015. doi: 10.1016/j.ejor.2015.03.0292015 ) from our proposed mixed 0–1 LP model.

Suggested Citation

  • Mahmood Mehdiloozad, 2017. "Identifying the global reference set in DEA: a mixed 0–1 LP formulation with an equivalent LP relaxation," Operational Research, Springer, vol. 17(1), pages 205-211, April.
    • Handle: RePEc:spr:operea:v:17:y:2017:i:1:d:10.1007_s12351-015-0222-9
    DOI: 10.1007/s12351-015-0222-9
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    Cited by:

    1. Mehdiloozad, Mahmood & Zhu, Joe & Sahoo, Biresh K., 2018. "Identification of congestion in data envelopment analysis under the occurrence of multiple projections: A reliable method capable of dealing with negative data," European Journal of Operational Research, Elsevier, vol. 265(2), pages 644-654.

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