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Title: Marginal values and returns to scale for nonparametric production frontiers
Authors: Podinovski, Victor V.
Chambers, Robert G.
Atici, Kazim Baris
Deineko, Iryna D.
Keywords: Data envelopment analysis
Elasticity measures
Returns to scale
Marginal rates
Weight restrictions
Undesirable output
Issue Date: 2016
Publisher: © INFORMS (Institute for Operations Research and Management Sciences)
Citation: PODINOVSKI, V.V., 2016. Marginal values and returns to scale for nonparametric production frontiers. Operations Research, 64(1), pp. 236-250.
Abstract: We present a unifying linear programming approach to the calculation of various directional derivatives for a very large class of production frontiers of data envelopment analysis (DEA). Special cases of this include different marginal rates, the scale elasticity and a spectrum of partial and mixed elasticity measures. Our development applies to any polyhedral production technology including, to name a few, the conventional variable and constant returns-to-scale DEA technologies, their extensions with weight restrictions, technolo gies with weakly disposable undesirable outputs and network DEA models. Furthermore, our development provides a general method for the characterization of returns to scale (RTS) in any polyhedral technology. The new approach effectively removes the need to develop bespoke models for the RTS characterization and calculation of marginal rates and elasticity measures for each particular technology.
Description: This paper was accepted for publication in the journal Operations Research and the definitive published version is available at http://dx.doi.org/10.1287/opre.2015.1457.
Version: Accepted for publication
DOI: 10.1287/opre.2015.1457
URI: https://dspace.lboro.ac.uk/2134/19950
Publisher Link: http://dx.doi.org/10.1287/opre.2015.1457
ISSN: 1526-5463
Appears in Collections:Published Articles (Business)

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