The Lexicographic Tolerable Robustness Concept for Uncertain Multi-Objective Optimization Problems: A Study on Water Resources Management
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- Marc Goerigk & Marie Schmidt & Anita Schöbel & Martin Knoth & Matthias Müller-Hannemann, 2014. "The Price of Strict and Light Robustness in Timetable Information," Transportation Science, INFORMS, vol. 48(2), pages 225-242, May.
- Ehrgott, Matthias & Ide, Jonas & Schöbel, Anita, 2014. "Minmax robustness for multi-objective optimization problems," European Journal of Operational Research, Elsevier, vol. 239(1), pages 17-31.
- Issam Nouiri & Muluneh Yitayew & Jobst Maßmann & Jamila Tarhouni, 2015. "Multi-objective Optimization Tool for Integrated Groundwater Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(14), pages 5353-5375, November.
- A. Ben-Tal & A. Nemirovski, 1998. "Robust Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 23(4), pages 769-805, November.
- Yue Zhou-Kangas & Kaisa Miettinen, 2019. "Decision making in multiobjective optimization problems under uncertainty: balancing between robustness and quality," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(2), pages 391-413, June.
- Lizhen Shao & Matthias Ehrgott, 2008. "Approximately solving multiobjective linear programmes in objective space and an application in radiotherapy treatment planning," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 68(2), pages 257-276, October.
- Bokrantz, Rasmus & Fredriksson, Albin, 2017. "Necessary and sufficient conditions for Pareto efficiency in robust multiobjective optimization," European Journal of Operational Research, Elsevier, vol. 262(2), pages 682-692.
- Aregai Tecle & Bijaya P. Shrestha & Lucien Duckstein, 1998. "A multiobjective decision support system for multiresource forest management," Group Decision and Negotiation, Springer, vol. 7(1), pages 23-40, January.
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- Pornpimon Boriwan & Thanathorn Phoka & Narin Petrot, 2022. "The Lightly Robust Max-Ordering Solution Concept for Uncertain Multiobjective Optimization Problems: An Ambulance Location Problem with Unavailability," Sustainability, MDPI, vol. 14(12), pages 1-18, June.
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Keywords
uncertain multi-objective optimization; robustness concept; minmax robustness; lexicographic tolerable robust; water resources management planning;All these keywords.
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