Issue |
RAIRO-Oper. Res.
Volume 58, Number 2, March-April 2024
IFORS 2023
|
|
---|---|---|
Page(s) | 1529 - 1554 | |
DOI | https://doi.org/10.1051/ro/2024034 | |
Published online | 05 April 2024 |
Merging decision-making units in the simultaneous presence of desirable and undesirable factors
1
Department of Mathematics, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran
2
Department of Mathematics, Faculty of Computer Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran
3
Department of Civil, Environmental, and Natural Resources Engineering, Division of Operation and Maintenance, Lule University of Technology, Lule 97187, Sweden
* Corresponding author: ghobadi@iaukhsh.ac.ir
Received:
6
October
2023
Accepted:
3
February
2024
This paper is devoted to applying the inverse Data Envelopment Analysis (InvDEA) in the simultaneous presence of desirable and undesirable factors. One of the most common ways to improve units’ performance in the business environment is through activity synergies called units’ merging. The present study models how to identify the inherited input/output from the units participating in the merger process to achieve the desired efficiency goal. The proposed models are established based on the InvDEA approach and multiple-objective programming tools. Sufficient conditions to estimate desirable and undesirable data are obtained using Pareto solutions to multi-objective programming problems. The theory extended in the study is explained by an application in the banking sector.
Mathematics Subject Classification: 90C05 / 90C29 / 90C39 / 90C90 / 90B50
Key words: Inverse Data Envelopment Analysis (InvDEA) / efficiency / merging DMUs / desirable factors / undesirable factors
© The authors. Published by EDP Sciences, ROADEF, SMAI 2024
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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