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Proposition de compromis pour le calcul de solutions préférées à l'aide d'un algorithme évolutionnaire multiobjectif en optimisation multidisciplinaire

Abstract : Multidisciplinary Design OptimiZation refers to the design and optimization of complex engineering systems, requiring simultaneous work of at least two disciplines. Each of them could have more than one objective to achieve. The traditional methods do not consider the case where each discipline has a multiobjective optimization problem to solve. Recently, methods which transform the multidisciplinary design optimization problem into a multiobjective optimization problem have been proposed. These methods are based on evolutionary multiobjective optimization algorithms. Unfortunately, the set of solutions found does not reflect the preferences of the disciplines: solutions can be globally efficient whereas they are locally dominated. Using the properties of order relations, we propose four definitions of the compromise between disciplines which take into account the grouping of the objectives. The theoretical properties of these compromises are studied, and especially their capacity to converge to the wanted solution set when they are used within an evolutionary algorithm. The compromises are integrated within an evolutionary multiobjective optimization algorithm. Experimental analysis of this algorithm with the four compromises are conducted. They confirm the theoretical predictions and show the relevance of the obtained solutions.
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https://tel.archives-ouvertes.fr/tel-00563994
Contributor : Benoît Guédas <>
Submitted on : Monday, February 7, 2011 - 4:56:00 PM
Last modification on : Wednesday, December 19, 2018 - 3:02:04 PM
Long-term archiving on: : Sunday, May 8, 2011 - 3:15:54 AM

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  • HAL Id : tel-00563994, version 1

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Benoît Guédas. Proposition de compromis pour le calcul de solutions préférées à l'aide d'un algorithme évolutionnaire multiobjectif en optimisation multidisciplinaire. Autre [cs.OH]. Ecole Centrale de Nantes (ECN), 2010. Français. ⟨tel-00563994⟩

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