The Lexicographic Tolerable Robustness Concept for Uncertain Multi-Objective Optimization Problems: A Study on Water Resources Management
| Autor: | Matthias Ehrgott, Narin Petrot, Daishi Kuroiwa, Pornpimon Boriwan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Mathematical optimization
robustness concept Optimization problem minmax robustness Computer science Geography Planning and Development 0211 other engineering and technologies TJ807-830 02 engineering and technology Management Monitoring Policy and Law water resources management planning TD194-195 Multi-objective optimization Renewable energy sources Robustness (computer science) 0502 economics and business GE1-350 050210 logistics & transportation 021103 operations research Environmental effects of industries and plants Renewable Energy Sustainability and the Environment 05 social sciences Solution set Lexicographical order lexicographic tolerable robust Water resources Environmental sciences Solution concept uncertain multi-objective optimization |
| Zdroj: | Sustainability, Vol 12, Iss 7582, p 7582 (2020) Sustainability Volume 12 Issue 18 |
| ISSN: | 2071-1050 |
| Popis: | In this study, we introduce a robust solution concept for uncertain multi-objective optimization problems called the lexicographic tolerable robust solution. This approach is advantageous for the practical implementation of problems in which the solution should satisfy priority levels in the objective function and the worst performance vector of the solution obtained by the proposed concept is close to a reference point of the considered problem, within an acceptable tolerance threshold. Important properties of the solution sets of this introduced concept as well as an algorithm for finding such solutions are presented and discussed. We provide the implementation of the proposed lexicographic tolerable robust solution to improve understanding for practitioners by relying on the data of the water resources master plan for Serbia from Simonovic, 2009. Moreover, we are also concerned with the method of updating a desirable solution for fitting with the preferences when compromising of the multiple groups of decision makers is needed. |
| Databáze: | OpenAIRE |
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