Multi-objective optimization revisited
*Stefan M. StefanovCorresponding authorstefm@swu.bgDepartment of MathematicsSouth-West University”Neofit Rilski”Blagoevgrad, 2700, BulgariaView full profile →
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- Received:
- 07 Dec 2022
- Published Online:
- 03 Feb 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-1395
- Pages:
- 833–848
Abstract
Keywords
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References
[1] Alberto Bemporad and David Munoz de la Pena, “Multiobjective model predictive control”, Automatica, vol. 45, no. 12, pp. 2823-2830 (2009).
[2] N. Beume, B. Naujoks, and M. Emmerich, “SMS-EMOA: Multiobjective selection based on dominated hypervolume”, European Journal of Operational Research, vol. 181, no. 3, pp. 1653-1669 (2007).
[3] F. H. Clarke, Optimization and Nonsmooth Analysis, Society for Industrial and Applied Mathematics SIAM, Philadelphia, PA, USA, Classics in Applied Mathematics, Vol. 5 (1990).
[4] I. Das and J. E. Dennis, “Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems”, SIAM Journal on Optimization, vol. 8, no. 3, pp. 631-657 (1998).
[5] M. Luque, F. Ruiz, and K. Miettinen, “Global formulation for interactive multiobjective optimization”, OR Spectrum, Vol. 33, pp. 27-48 (2008).
[6] Sidhartha Panda, “Multi-objective evolutionary algorithm for SSSC-based controller design”, Electric Power Systems Research, vol. 79, no. 6, pp. 937-944 (2009).
[7] Anthony Przybylski and Xavier Gandibleux, “Multi-objective branch and bound”, European Journal of Operational Research, vol. 260, no. 3, no. 6, pp. 856-872 (2017).
[8] F. Ruiz, M. Luque, and K. Miettinen, “Improving the computational efficiency in a global formulation (GLIDE) for interactive multiobjective optimization”, Annals of Operations Research, Vol. 197, pp. 47-70 (2011).
[9] Hamdy A. Taha, Operations Research: An Introdusction, 10th ed., Pearson Education Ltd. (2017).
[10] Thomas Vincent, Florian Seipp, Stefan Ruzika, Anthony Przybylski, and Xavier Gandibleux, “Multiple objective branch and bound for mixed 0-1 linear programming: Corrections and improvements for the biobjective case”, Computers & Operations Research, Vol. 40(1), pp. 498-509 (2013).
[11] A. P. Wierzbicki, “A mathematical basis for satisficing decision making”, Mathematical Modelling, vol. 3, no. 5, pp. 391-405 (1982).
[12] N. Wesner, “Multiobjective optimization via visualization”, Economics Bulletin, vol. 37, no. 2, pp. 1226-1233 (2017).




