A Bilevel Methodology for solving a Structural Optimization Problem with both Continuous and Categorical Variables

Barjhoux, Pierre-Jean; Diouane, Youssef; Grihon, Stéphane; Bettebghor, Dimitri; Morlier, Joseph

doi:10.2514/6.2018-3579

Cited by 4 publications

(2 citation statements)

References 19 publications

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“…The resulting solution will be denoted as Baseline. The second solver in the comparison, is a hybrid branch-and-bound (Barjhoux et al, 2018a) and will be noted h-B&B. This solver is based on the usual branch-and-bound algorithm where a specific bound method is adapted to tackle the mixed categorical problem.…”

Section: Implementation Detailsmentioning

confidence: 99%

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An outer approximation bi-level framework for mixed categorical structural optimization problems

Barjhoux

Diouane

Grihon

et al. 2022

Struct Multidisc Optim

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In this paper, mixed categorical structural optimization problems are investigated. The aim is to minimize the weight of a truss structure with respect to cross-section areas, materials and cross-section type. The proposed methodology consists of using a bi-level decomposition involving two problems: master and slave. The master problem is formulated as a mixed integer linear problem where the linear constraints are incrementally augmented using outer approximations of the slave problem solution. The slave problem addresses the continuous variables of the optimization problem. The proposed methodology is tested on three different structural optimization test cases with increasing complexity. The comparison to state-of-the-art algorithms emphasizes the efficiency of the proposed methodology in terms of the optimum quality, computation cost, as well as its scalability with respect to the problem dimension.

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Section: Implementation Detailsmentioning

confidence: 99%

“…The proposed methodology in this paper relies on previous works in ( Barjhoux et al, 2018aBarjhoux et al, ,b, 2020 where a bi-level methodology was initially proposed. The framework is based on master and slave problems.…”

Section: Introductionmentioning

confidence: 99%