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What is Ideal Reference

Chapter 146
Encyclopedia of Business Analytics and Optimization
An additional DMU that is included among other DMUs, and it represents the ‘Industrial Average’ which is treated as the best-practice benchmark. This DMU may be a hypothetical entity.
Published in Chapter:
Nonlinear Efficiency in DEA Relative to “Ideal Reference”
P. Sunil Dharmapala (College of Economics & Political Science, Sultan Qaboos University, Sultanate of Oman)
Copyright: © 2014 |Pages: 11
DOI: 10.4018/978-1-4666-5202-6.ch146
Abstract
Several researchers in the past have emphasized the importance of computing efficiency measures in Data Envelopment Analysis (DEA) relative to a best-practice benchmark. Thompson et al. (1995) introduced a nonlinear efficiency measure with linked-cone (LC) assurance-regions (AR) in DEA. In this paper, we compute Thompson-Thrall's measure vis-à-vis linear efficiency measures of CCR (Charnes et al., 1978), BCC (Banker et al., 1984), CCR/AR and BCC/AR (Thompson et al., 1992), relative to “ideal reference”- an industry average. We demonstrate the computations in an application to a set of banks and show that the nonlinear measure is stricter than the linear measures.
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