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What is Variable Returns

Encyclopedia of Business Analytics and Optimization
For a fixed DMU c with input-output vector (X c , Y c ), (i) it is possible to achieve a more than proportionate increment in Y c when X c is augmented (Increasing returns), or (ii) it is possible to achieve a less than proportionate decrement in Y c when X c is decremented (Decreasing returns).
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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More Results
Randomizing DEA Efficiency Scores with Beta Distribution
For a fixed DMU c with input-output vector (X c , Y c ), (i) it is possible to achieve a more than proportionate increment in Y c when X c is augmented (Increasing returns), or (ii) it is possible to achieve a less than proportionate decrement in Y c when X c is decremented (Decreasing returns).
Full Text Chapter Download: US $37.50 Add to Cart
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