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New Models for Computing the Distance of DMUs to the Weak Efficient Boundary of Convex and Nonconvex PPSs in DEA

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  • J. Vakili

    (Department of Applied Mathematics, School of Mathematics Science, University of Tabriz, Tabriz, Iran)

Abstract

In data envelopment analysis (DEA), calculating the distances of decision making units (DMUs) from the weak efficient boundary of a production possibility set (PPS) is a very important subject which has attracted increasing interest of researchers in recent years. The distances of DMUs to the weak efficient boundary of the PPS can be used to evaluate the performance of DMUs, obtain the closest efficient patterns and also assess the sensitivity and stability of efficiency classifications in DEA. The present study proposes some new models which compute the distances of DMUs from the weak efficient boundary of a PPS for both convex and nonconvex PPSs using Hölder norms. In fact, the presented models assist a DMU to improve its performance by an appropriate movement towards the weak efficient boundary.

Suggested Citation

  • J. Vakili, 2017. "New Models for Computing the Distance of DMUs to the Weak Efficient Boundary of Convex and Nonconvex PPSs in DEA," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(06), pages 1-20, December.
    • Handle: RePEc:wsi:apjorx:v:34:y:2017:i:06:n:s021759591750035x
    DOI: 10.1142/S021759591750035X
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    2. Chang Cong & Peibiao Zhao, 2018. "Non-Cash Risk Measure on Nonconvex Sets," Mathematics, MDPI, vol. 6(10), pages 1-9, October.

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