| Issue |
RAIRO-Oper. Res.
Volume 53, Number 5, November-December 2019
|
|
|---|---|---|
| Page(s) | 1791 - 1805 | |
| DOI | https://doi.org/10.1051/ro/2018100 | |
| Published online | 15 October 2019 | |
A generalized DEA model for inputs (outputs) estimation under inter-temporal dependence
Department of Mathematics, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran
* Corresponding author: ghobadi@iaukhsh.ac.ir
Received:
3
February
2018
Accepted:
10
November
2018
This paper extended the inverse Data Envelopment Analysis (DEA) to the framework of dynamic DEA. The following question is studied under inter-temporal dependence assumption: among a set of decision making units (DMUs), to what extent should the input (output) levels of the DMU change if the efficiency index of a DMU remains unchanged, yet the output (input) levels change? This question is answered using (periodic weak) Pareto solutions of multiple-objective linear programming (MOLP) problems in the framework of dynamic DEA. In this study, unlike other proposed methods, the simultaneous increase and decrease of the various input (output) levels are considered under inter-temporal dependence. In addition, a numerical example with real data is provided to illustrate the objective of this research.
Mathematics Subject Classification: 90C05 / 90C29 / 90C39 / 90C90 / 90B50 / 47N10
Key words: Data Envelopment Analysis (DEA) / inverse DEA / multiple-objective linear programming (MOLP) / inter-temporal dependence / (Periodic weak) Pareto solution
© EDP Sciences, ROADEF, SMAI 2019
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