Multiobjective shape optimization using estimation distribution algorithms and correlated information

Authors:
Sergio Ivvan Valdez Peña;Salvador Botello Rionda;Arturo Hernández Aguirre
Affiliations:
Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, Gto., México;Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, Gto., México;Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, Gto., México
Venue:
EMO'05 Proceedings of the Third international conference on Evolutionary Multi-Criterion Optimization
Year:
2005

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Abstract

We propose a new approach for multiobjective shape optimization based on the estimation of probability distributions. The algorithm improves search space exploration by capturing landscape information into the probability distribution of the population. Correlation among design variables is also used for the computation of probability distributions. The algorithm uses finite element method to evaluate objective functions and constraints. We provide several design problems and we show Pareto front examples. The design goals are: minimum weight and minimum nodal displacement, without holes or unconnected elements in the structure.