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Measuring Efficiency under Fixed Proportion Technologies

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Title: Measuring Efficiency under Fixed Proportion Technologies
Author(s): Barnum, Darold T.; Gleason, John M.
Subject(s): Fixed proportion technology Data Envelopment Analysis Efficiency measurement Nonsubstitutable inputs Nonsubstitutable outputs
Abstract: Data Envelopment Analysis (DEA) applications frequently involve nonsubstitutable inputs and nonsubstitutable outputs (that is, fixed proportion technologies). However, DEA theory requires substitutability. In this paper, we illustrate the consequences of nonsubstitutability on DEA efficiency estimates, and we develop new efficiency indicators that are similar to those of conventional DEA models except that they require nonsubstitutability. Then, using simulated and real-world datasets that encompass fixed proportion technologies, we compare DEA efficiency estimates with those of the new indicators. The examples demonstrate that DEA efficiency estimates are biased when inputs and outputs are nonsubstitutable. The degree of bias varies considerably among Decision Making Units, resulting in substantial differences in efficiency rankings between DEA and the new measures. And, over 90 percent of the units that DEA identifies as efficient are, in truth, not efficient. We conclude that when inputs and outputs are not substituted for either technological or socio-economic/legal reasons, conventional DEA models should be replaced with models that account for nonsubstitutability.
Issue Date: 2011-06
Publisher: Springer Verlag
Citation Info: Barnum, D. T. & Gleason, J. M. 2011. Measuring efficiency under fixed proportion technologies. Journal of Productivity Analysis, 35(3): 243-262. DOI: 10.1007/s11123-010-0194-y
Type: Article
Description: Post print version of article may differ from published version. The original publication is available at; DOI: 10.1007/s11123-010-0194-y.
ISSN: 0895-562X
Date Available in INDIGO: 2012-03-02

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