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Hyperbolic efficiency measurement: A conic programming approach
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DOI：10.1016/j.ejor.2018.12.005.png)
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摘要
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In this paper, we develop a computational procedure for the hyperbolic distance function (HDF) within the nonparametric framework of data envelopment analysis. We convert the nonlinear HDF model under variable returns to scale into an equivalent conic optimization problem with linear constraints plus a toppled ice cream cone constraint that can be efficiently solved by specialized interior point methods in about the same time as a linear program. Applying the dual of an ice cream cone, we formulate a multiplier based (dual) HDF model. We elaborate on the structural details of both primal and dual HDF models through geometrical figures. We apply our method to measure the performance of a sample of US banks. (C) 2018 Elsevier B.V. All rights reserved.
Keyword:
Data envelopment analysis
Hyperbolic distance function
Conic optimization
Duality
Shadow prices
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IF:
6
论文数:
2.2W
被引数:
6.4W
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