Inverse DEA under inter-temporal dependence using multiple-objective programming |
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| Authors: | G.R. Jahanshahloo M. Soleimani-damaneh S. Ghobadi |
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| Affiliation: | 1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran;2. School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Enghelab Avenue, Tehran, Iran;3. School of Business, Department of Information and Service Economy, Aalto University, P.O. Box 21220, FI-00076 Aalto, Helsinki, Finland |
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| Abstract: | 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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| Keywords: | Data envelopment analysis Inverse DEA Inter-temporal dependence Multiple-objective linear programming Efficiency |
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