Title: Restructuring of units under inter-temporal dependence: method and application

Authors: Mona Avand; Saeid Ghobadi

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

Abstract: This paper deals with the generalised restructuring decision making units under inter-temporal dependence data. An important issue for generalised restructuring of a set of decision making units is the estimation of the input and output levels inherited from pre-restructuring decision making units between post-restructuring decision making units to achieve full dynamically efficiency levels. This issue, the input and output-estimation for achieving efficiency targets, is investigated via the inverse data envelopment analysis concept. An effective method is provided that allows managers to incorporate their preference in targets setting of a restructuring for saving/producing specific input/output levels in each time period of the assessment window as much as possible. Sufficient conditions are derived for input and output estimation using multiple-objective programming problems. The applicability of the proposed method is illustrated through a banking sector example.

Keywords: data envelopment analysis; DEA; inverse DEA; generalised restructuring; inter-temporal dependence; multiple-objective programming; MOP.

DOI: 10.1504/IJOR.2024.137925

International Journal of Operational Research, 2024 Vol.49 No.4, pp.503 - 538

Received: 11 Dec 2020
Accepted: 08 Jul 2021
Published online: 11 Apr 2024 *

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