Volume 56, Number 3, May-June 2022
Recent developments of operations research and data sciences
|Page(s)||1503 - 1521|
|Published online||13 June 2022|
Global multi-period performance evaluation – New model and productivity index
Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran
2 Department of Operations Management and Business Statistics, Sultan Qaboos University, Muscat, Oman
3 Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
* Corresponding author: firstname.lastname@example.org
Accepted: 4 May 2022
In this paper, we introduce a novel multi-period data envelopment analysis (MDEA) model that attempts to circumvent the limitations of the existing MDEA models. The proposed global MDEA model is essentially based on major modifications of fundamental DEA axioms to enable a decision making unit (DMU), defined with inputs and outputs of period t, to be evaluated within the production possibility set (PPS) of another period l, t ≠ l. Building on the properties of the global MDEA model, we also introduce a global productivity index, identified as Global Progress and Regress index (GPRI), that render possible the evaluation of a DMU’s extent of progress or regress over multi-period time horizons under variable returns to scale (VRS) production technologies. This lifts the restrictions to two successive periods and constant returns to scale (CRS) of existing productivity indices. The most salient features of the new MDEA model as well as the GPRI are highlighted using an application that involves a real-life sample of 25 bank branches considered over 4 years.
Mathematics Subject Classification: 90C05
Key words: Data envelopment analysis / Multi-period production systems / Global efficiency / Productivity index
© The authors. Published by EDP Sciences, ROADEF, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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