Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems This paper proposes an alternate method for finding several Pareto optimal points for a general nonlinear multicriteria optimization problem. Such points collectively capture the trade-off among the various conflicting objectives. It is proved that this method is independent of the relative scales of the functions and is successful in producing an evenly distributed set of points in the Pareto set given an evenly distributed set of parameters, a property which the popular method of minimizing weighted combinations of objective functions lacks. Further, this method can handle more than two objectives while retaining the computational efficiency of continuation-type algorithms. This is an improvement over continuation techniques for tracing the trade-off curve since continuation strategies cannot easily be extended to handle more than two objectives. (Source: http://plato.asu.edu)

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  3. Gonçalves, M. L. N.; Lima, F. S.; Prudente, L. F.: A study of Liu-Storey conjugate gradient methods for vector optimization (2022)
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  10. Audet, Charles; Bigeon, Jean; Cartier, Dominique; Le Digabel, Sébastien; Salomon, Ludovic: Performance indicators in multiobjective optimization (2021)
  11. Bolten, Matthias; Doganay, Onur Tanil; Gottschalk, Hanno; Klamroth, Kathrin: Tracing locally Pareto-optimal points by numerical integration (2021)
  12. Ghaznavi, M.; Akbari, F.; Khorram, E.: Optimality conditions via a unified direction approach for (approximate) efficiency in multiobjective optimization (2021)
  13. Gkaragkounis, K. T.; Papoutsis-Kiachagias, E. M.; Giannakoglou, K. C.: Adjoint-assisted Pareto front tracing in aerodynamic and conjugate heat transfer shape optimization (2021)
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  17. Tsionas, Mike G.: Multi-criteria optimization in regression (2021)
  18. Yuan, Jiawei: A constraint handling technique using compound distance for solving constrained multi-objective optimization problems (2021)
  19. Zhang, Kai; Shen, Chaonan; He, Juanjuan; Yen, Gary G.: Knee based multimodal multi-objective evolutionary algorithm for decision making (2021)
  20. Zouache, Djaafar; Ben Abdelaziz, Fouad; Lefkir, Mira; Chalabi, Nour El-Houda: Guided moth-flame optimiser for multi-objective optimization problems (2021)

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