On piecewise loglinear frontiers and log efficiency measures
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Cited by (14)
Plant capacity utilization with piecewise Cobb-Douglas technology: Definition and interpretation
2024, European Journal of Operational ResearchA DEA based composite measure of quality and its associated data uncertainty interval for health care provider profiling and pay-for-performance
2016, European Journal of Operational ResearchData envelopment analysis: Prior to choosing a model
2014, Omega (United Kingdom)Citation Excerpt :If the index value is the same across all DMUs, or more generally, if one input (in an output-oriented CRS model) or one output (in an input-oriented CRS model) has an equal value across all DMUs, the CRS becomes a variable returns to scale (VRS) model. This is because the related input or output constraint becomes the convexity constraint in the CRS model (see, e.g., Theorem 3 in [20]). We finally should point out that in the VRS model, if the ratio data are in percentages, the DEA projections remain in the range (0%, 100%).
A generalized multiplicative directional distance function for efficiency measurement in DEA
2014, European Journal of Operational ResearchCitation Excerpt :More precisely, this technology structure is flexible enough to simultaneously capture the three production features – convexity, linearity, and concavity – of a production function. The piece-wise log-linear technology pertains to a class of DEA models, known as the multiplicative models, which were developed by Charnes, Cooper, Seiford, and Stutz (1982) based on the log-linear envelopment principle introduced by Banker, Charnes, Cooper, and Schinnar (1981) (For more details about the multiplicative models, see e.g., Chang & Guh (1994), Seiford & Zhu (1998), & Sueyoshi & Chang (1989), among others). The directional distance function (DDF) of Chambers, Chung, and Färe (1996), Chambers, Chung, and Färe (1998) is a useful generalization of the Shephard’s (1970) distance functions.
Ensuring units invariant slack selection in radial data envelopment analysis models, and incorporating slacks into an overall efficiency score
2013, Omega (United Kingdom)Citation Excerpt :It should be noted that the solutions to the CRS and VRS input oriented formulations are equivalent for the model depicted in Fig. 1. The single unitized output produced in Fig. 1 forces the ∑λ to equal 1 for the CRS formulation as shown by Seiford and Zhu [22] in 1998 and by Lovell and Pastor [23] in 1999, thus making the CRS and VRS formulations equivalent. The CCR and BCC input oriented models therefore produce identical results for the model depicted in Fig. 1.
Rating the relative efficiency of financial holding companies in an emerging economy: A multiple DEA approach
2009, Expert Systems with Applications
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Lawrence M. Seiford is Professor of Mechanical and Industrial Engineering in the College of Engineering at the University of Massachusetts, Amherst, and currently serves as the Program Director for Operations Research and Production Systems at the National Science Foundation. He is an Editor of the Journal of Productivity Analysis, an Associate Editor for OR Letters and INFOR: Information Systems and Operational Research, and a member of the editorial board of The Mathematica Journal. His teaching and research interests are primarily in the areas of quality, productivity analysis, process improvement, optimization-based decision support systems, and performance measurement. Dr. Seiford has written and co-authored two books and over seventy articles in the areas of quality, productivity, operations management, process improvement, and decision analysis.
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Joe Zhu is a Ph.D. candidate in Industrial Engineering and Operations Research at University of Massachusetts at Amherst. His research has appeared in the European Journal of Operational Research, Journal of the Operational Research Society, Annals of Operations Research, OMEGA and others.