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A new non-oriented model for classifying flexible measures in DEA

Author

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  • G. Tohidi

    (Islamic Azad University, Central Tehran Branch)

  • F. Matroud

    (Islamic Azad University, Central Tehran Branch)

Abstract

In conventional data envelopment analysis (DEA), measures are classified as either input or output. However, in some real cases there are variables which act as both input and output and are known as flexible measures. Most of the previous suggested models for determining the status of flexible measures are oriented. One important issue of these models is that unlike standard DEA, even under constant returns to scale the input- and output-oriented model may produce different efficiency scores. Also, can be expected a flexible measure is selected as an input variable in one model but an output variable in the other model. In addition, in all of the previous studies did not point to variable returns to scale (VRS), but the VRS assumption is prevailed on many real applications. To deal with these issues, this study proposes a new non-oriented model that not only selects the status of each flexible measure as an input or output but also determines returns to scale status. Then, the aggregate model and an extension with the negative data related to the proposed approach are presented.

Suggested Citation

  • G. Tohidi & F. Matroud, 2017. "A new non-oriented model for classifying flexible measures in DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(9), pages 1019-1029, September.
  • Handle: RePEc:pal:jorsoc:v:68:y:2017:i:9:d:10.1057_s41274-017-0207-6
    DOI: 10.1057/s41274-017-0207-6
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    References listed on IDEAS

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    Cited by:

    1. Toloo, Mehdi & Ebrahimi, Bohlool & Amin, Gholam R., 2021. "New data envelopment analysis models for classifying flexible measures: The role of non-Archimedean epsilon," European Journal of Operational Research, Elsevier, vol. 292(3), pages 1037-1050.
    2. Mansour Zarrin, 2023. "A mixed-integer slacks-based measure data envelopment analysis for efficiency measuring of German university hospitals," Health Care Management Science, Springer, vol. 26(1), pages 138-160, March.
    3. Tavana, Madjid & Izadikhah, Mohammad & Toloo, Mehdi & Roostaee, Razieh, 2021. "A new non-radial directional distance model for data envelopment analysis problems with negative and flexible measures," Omega, Elsevier, vol. 102(C).

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