Authors: M. Zoriehhabib; M. Rostamy-Malkhalifeh; F. Hosseinzadeh-Lotfi
Addresses: Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 18558-17556, Iran ' Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 18558-17556, Iran ' Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 18558-17556, Iran
Abstract: This paper discusses an indirect portion oriented approach based on a traditional data envelopment analysis (DEA), requiring a proportional reduction of undesirable outputs. The proposed technique prepares an accommodation of undesirable factors in their primary form. In particular, this study is interested in the concept of weak disposability axioms. Given a decreased output vector, each decision making unit attempts to decrease a vector of desirable outputs proportionally with respect to the least wastage. These issues lead to the development of a model based on the weak disposable technology which can analyse the changeable production with reduction of both the desirable and undesirable outputs. Real-life data of 22 organisation for economic cooperation and development (OECD) countries is used in the empirical analysis. This analysis demonstrates that the proposed model is suitable for any assessment involving the proportional reduction of output indicators when undesirable outputs are presented. To achieve this aim the proposed epsilon-based model is applied to evaluate the efficiency of data for 27 Japanese electric power companies.
Keywords: data envelopment analysis; efficiency; undesirable output; weak disposability; abatement factor; portion oriented reduction.
International Journal of Mathematical Modelling and Numerical Optimisation, 2019 Vol.9 No.2, pp.178 - 195
Received: 18 Nov 2017
Accepted: 07 Mar 2018
Published online: 02 Apr 2019 *