Inverse DEA under inter-temporal dependence using multiple-objective programming

•Modeling inverse DEA under inter-temporal dependence assumption.•Input-estimation and output-estimation under inter-temporal dependence.•Introducing a new optimality notion for MOP, periodic weak Pareto optimality.•Using periodic weak Pareto optimality in inverse DEA.•Characterizing periodic weak P...

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Bibliographic Details
Published in:European journal of operational research Vol. 240; no. 2; pp. 447 - 456
Main Authors: Jahanshahloo, G.R., Soleimani-damaneh, M., Ghobadi, S.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 16.01.2015
Elsevier Sequoia S.A
Subjects:
Data envelopment analysis
Efficiency
Estimating techniques
Input output analysis
Inter-temporal dependence
Inverse DEA
Inverse problems
Linear programming
Multiple-objective linear programming
Pareto optimum
Studies
Multiple-objective linear programming
Inverse DEA
Inter-temporal dependence
Efficiency
Data envelopment analysis
ISSN:0377-2217, 1872-6860
Online Access:Get full text
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Summary:•Modeling inverse DEA under inter-temporal dependence assumption.•Input-estimation and output-estimation under inter-temporal dependence.•Introducing a new optimality notion for MOP, periodic weak Pareto optimality.•Using periodic weak Pareto optimality in inverse DEA.•Characterizing periodic weak Pareto solutions. This paper deals with the inverse Data Envelopment Analysis (DEA) under inter-temporal dependence assumption. Both problems, input-estimation and output-estimation, are investigated. Necessary and sufficient conditions for input/output estimation are established utilizing Pareto and weak Pareto solutions of linear multiple-objective programming problems. Furthermore, in this paper we introduce a new optimality notion for multiple-objective programming problems, periodic weak Pareto optimality. These solutions are used in inverse DEA, and it is shown that these can be characterized by a simple modification in weighted sum scalarization tool.
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ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2014.07.002