Title: A dynamic DEA model for resource allocation

Authors: Saeid Ghobadi

Addresses: Department of Mathematics, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran

Abstract: In this paper we discuss the inverse data envelopment analysis (DEA) in framework of dynamic DEA. This discussion is based on extending the non-radial enhanced Russell measure (ERM) model to framework of dynamic DEA. Also, necessary and sufficient conditions are established to characterising dynamically efficient paths using dynamic ERM-model. Simultaneous estimation of input and output levels are studied using ERM-model under inter-temporal dependence assumption. Necessary and sufficient conditions for simultaneous estimation of input and output levels are introduced based on Pareto solutions of multiple-objective linear programming problems. In addition, the performance of the proposed method is illustrated through an example in banking sector.

Keywords: data envelopment analysis; DEA; inverse DEA; dynamic DEA; multiple objective linear programming; MOLP; enhanced Russell measure; ERM.

DOI: 10.1504/IJMOR.2020.109053

International Journal of Mathematics in Operational Research, 2020 Vol.17 No.1, pp.50 - 77

Received: 19 Dec 2018
Accepted: 17 May 2019
Published online: 17 Aug 2020 *

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