Numerical Analysis
Improving the identification of general Pareto fronts by global optimization

Presented by: Olivier Pironneau

Mohammadi, Bijan1; Redont, Patrick1
1 Institut de mathématiques et de modélisation de Montpellier, Université Montpellier II, CC51, 34095 Montpellier, France
Comptes Rendus. Mathématique, Volume 347 (2009) no. 5-6, pp. 327-331.

We present a controllability result for a second order dynamic system and its application to global optimization in the context of multi-criteria problems. In particular, we address the issue of reaching points on nonconvex regions of Pareto fronts.

Nous présentons un résultat de controlabilité pour un système dynamique d'ordre deux et son utilisation en optimisation globale dans un context de minimisation multi-critère. En particulier, nous montrons comment atteindre les points sur des fronts de Pareto nonconvexes.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2009.01.020
Mohammadi, Bijan 1; Redont, Patrick 1

1 Institut de mathématiques et de modélisation de Montpellier, Université Montpellier II, CC51, 34095 Montpellier, France 
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Mohammadi, Bijan; Redont, Patrick. Improving the identification of general Pareto fronts by global optimization. Comptes Rendus. Mathématique, Volume 347 (2009) no. 5-6, pp. 327-331. doi : 10.1016/j.crma.2009.01.020. http://www.numdam.org/articles/10.1016/j.crma.2009.01.020/

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