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On the Calculation of Directional Scale Elasticity in Data Envelopment Analysis

Author

Listed:
  • Mahdi Mirjaberi

    (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran)

  • Reza Kazemi Matin

    (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran)

Abstract

In recent years, the notion of scale elasticity—the relative changes of outputs with respect to relative changes of inputs—has received a lot of ink in the literature. However, all prior studies, except a few of them, assume that changes are equi-proportional. This simplifying assumption makes scale elasticity measure to preserve the throughput mix and implicitly ignores both input independencies and decision-maker preferences. This paper seeks to investigate two main objectives. It initially proposes the notion of directional scale elasticity to allow evaluation of elasticity in any direction which may naturally alter the mix. Subsequently, by providing a tangible geometric interpretation, it attempts to clarify the measure. Relevant computations are used to construct cross sections of frontier in a given direction by enlisting the advantages of parametric optimization algorithm.

Suggested Citation

  • Mahdi Mirjaberi & Reza Kazemi Matin, 2016. "On the Calculation of Directional Scale Elasticity in Data Envelopment Analysis," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-17, August.
    • Handle: RePEc:wsi:apjorx:v:33:y:2016:i:04:n:s0217595916500263
    DOI: 10.1142/S0217595916500263
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    References listed on IDEAS

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