Hyperbolic efficiency measurement: A conic programming approach

Maryam Hasannasab, Dimitris Margaritis, Israfil Roshdi () and Paul Rouse

European Journal of Operational Research, 2019, vol. 278, issue 2, 401-409

Abstract: 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.

Keywords: Data envelopment analysis; Hyperbolic distance function; Conic optimization; Duality; Shadow prices (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:278:y:2019:i:2:p:401-409

DOI: 10.1016/j.ejor.2018.12.005

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