Title: Nonlinear data envelopment analysis models for technologies with undesirable outputs

Authors: Mária Trnovská; Margaréta Halická

Addresses: Department of Applied mathematics and Statistics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Slovakia ' Department of Applied mathematics and Statistics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Slovakia

Abstract: This paper compares two nonlinear data envelopment analysis models for environmental evaluation: the Russell measure model and the hyperbolic measure model. Since both of the models can be formulated as semidefinite programs, they are computationally tractable. The applicability of the models in sustainable agriculture is demonstrated in an illustrational example comparing the performance of 29 countries.

Keywords: data envelopment analysis; semidefinite programming; sustainable agriculture; undesirable outputs; environmental technology; Russell measure model; RMM; hyperbolic measure model; HMM.

DOI: 10.1504/IJDSS.2019.10026329

International Journal of Decision Support Systems, 2019 Vol.4 No.2, pp.130 - 142

Received: 30 May 2019
Accepted: 26 Sep 2019

Published online: 20 Jan 2020 *

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