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Contribution to multi-objective optimization under constraints : applications to structural mechanics

Abstract : The objective of this thesis is the development of multi-objective optimization methods for solving mechanical design problems. Indeed, most of the real problems in the field of mechanical structures have several objectives that are often antagonistic. For example, it is about designing structures by optimizing their weight, their size, and their production costs. The goal of multi-objective optimization methods is the search for compromise solutions between objectives given the impossibility to satisfy all simultaneously. Metaheuristics are optimization methods capable of solving multi-objective optimization problems in a reasonable calculation time without guaranteeing the optimality of the solution (s). In recent years, these algorithms have been successfully applied to solve the problem of structural mechanics. In this thesis, two metaheuristics have been developed for the resolution of multi-objective optimization problems in general and of mechanical structures design in particular. The first algorithm called MOBSA used the crossover and mutation operators of the BSA algorithm. The second one named NNIA+X is a hybridization of an immune algorithm and three crossover inspired by the original crossover operator of the BSA algorithm. To evaluate the effectiveness and efficiency of these two algorithms, tests on some problems in literature have been made with a comparison with algorithms well known in the field of multi-objective optimization. The comparison results using metrics widely used in the literature have shown that our two algorithms can compete with their predecessors.
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Submitted on : Tuesday, July 23, 2019 - 3:01:34 PM
Last modification on : Wednesday, July 24, 2019 - 1:26:59 AM


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  • HAL Id : tel-02191478, version 1


Ahmed Tchvagha Zeine. Contribution to multi-objective optimization under constraints : applications to structural mechanics. Mechanics of the structures [physics.class-ph]. Normandie Université; Université Mohammed V-Agdal (Rabat, Maroc), 2018. English. ⟨NNT : 2018NORMIR13⟩. ⟨tel-02191478⟩



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