An external penalty-type method for multicriteria

• Published in: TOP Vol. 24; no. 2; pp. 493 - 513
• Main Authors: Fukuda, Ellen H., Drummond, L. M. Graña, Raupp, Fernanda M. P.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2016
• Subjects: Business and Management; Economic Theory/Quantitative Economics/Mathematical Methods; Economics; Finance; Industrial and Production Engineering; Insurance; Management; Operations Research/Decision Theory; Optimization; Original Paper; Statistics for Business; Constrained multiobjective optimization; Pareto optimality; 90C29; 90C30; External penalty method; Scalar representation

We propose an extension of the classical real-valued external penalty method to the multicriteria optimization setting. As its single objective counterpart, it also requires an external penalty function for the constraint set, as well as an exogenous divergent sequence of nonnegative real numbers, t...