Generalised Weak Disposability and Efficiency Measurement in Environmental Technologies

European Journal of Operational Research, 266(3), 1000-1012. https://doi.org/10.1016/j.ejor.2017.10.033

The University of Auckland Business School Research Paper Series

Posted: 10 Feb 2022

See all articles by Israfil Roshdi

Israfil Roshdi

Islamic Azad University (IAU) - Damghan Branch

Maryam Hasannasab

University of Auckland Business School

Dimitris Margaritis

University of Auckland Business School

Paul Rouse

University of Auckland Business School

Date Written: 2018

Abstract

Weak disposability based models of environmental technologies typically assume equiproportionate trade-offs between desired and undesired outputs. We postulate a generalised version of weak disposability allowing for different types of trade-offs between good and bad outputs and derive a new technology called piecewise Cobb–Douglas environmental technology whose envelopments capture all three types of production structures – concavity, linearity, and convexity. To measure environmental performance with reference to this technology, we develop radial and non-radial directional hyperbolic distance functions. We demonstrate that the value of these functions can be simply computed via the directional distance function as linear programs. We use data from 112 US power plants to illustrate our approach. Full paper available at https://doi.org/10.1016/j.ejor.2017.10.033

Keywords: Data envelopment analysis, Environmental technologies, Generalised weak disposability, Efficiency measurement, Directional hyperbolic distance function

Suggested Citation

Roshdi, Israfil and Hasannasab, Maryam and Margaritis, Dimitris and Rouse, Paul, Generalised Weak Disposability and Efficiency Measurement in Environmental Technologies (2018). European Journal of Operational Research, 266(3), 1000-1012. https://doi.org/10.1016/j.ejor.2017.10.033, The University of Auckland Business School Research Paper Series, Available at SSRN: https://ssrn.com/abstract=4030156

Israfil Roshdi (Contact Author)

Islamic Azad University (IAU) - Damghan Branch ( email )

Semnan
Iran

Maryam Hasannasab

University of Auckland Business School ( email )

12 Grafton Rd
Private Bag 92019
Auckland, 1010
New Zealand

Dimitris Margaritis

University of Auckland Business School ( email )

12 Grafton Rd
Private Bag 92019
Auckland, 1010
New Zealand

Paul Rouse

University of Auckland Business School ( email )

Private Bag 92019
Auckland
New Zealand
+64 9 373 7599 (Phone)
+64 9 373 7406 (Fax)

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