On the Calculation of Directional Scale Elasticity in Data Envelopment Analysis

Mahdi Mirjaberi () and Reza Kazemi Matin
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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

Asia-Pacific Journal of Operational Research (APJOR), 2016, vol. 33, issue 04, 1-17

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.

Keywords: Directional scale elasticity; throughput mix; geometric interpretation; decision-maker preferences; data envelopment analysis (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0217595916500263

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