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Chapitre D'ouvrage Année : 2020

An Adapted Derivative-Free Optimization Method for an Optimal Design Application with Mixed Binary and Continuous Variables

Thi-Thoi Tran
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Delphine Sinoquet
Sébastien da Veiga
Marcel Mongeau

Résumé

Numerous optimal design applications are black-box mixed integer nonlinear optimization problems: with objective function and constraints that are outputs of a black-box simulator involving mixed continuous and integer (discrete) variables. In this paper, we address an optimal design application for bladed disks of turbo-machines in aircraft. We discuss the formulation of an appropriate distance with respect to discrete variables which can deal with the cyclic symmetry property of the system under study. The necklace concept is introduced to characterize similar blade configurations and an adapted distance is proposed for discrete space exploration of a derivative-free optimization method. The results obtained with this method on a simplified industrial application are compared with results of state-of-the-art black-box optimization methods.
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Dates et versions

hal-02494138 , version 1 (28-02-2020)

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Thi-Thoi Tran, Delphine Sinoquet, Sébastien da Veiga, Marcel Mongeau. An Adapted Derivative-Free Optimization Method for an Optimal Design Application with Mixed Binary and Continuous Variables. Advanced Computational Methods for Knowledge Engineering, Advances in Intelligent Systems and Computing (1121), Springer, pp.88-98, 2020, Advanced Computational Methods for Knowledge Engineering. ICCSAMA 2019., 978-3-030-38363-3. ⟨10.1007/978-3-030-38364-0_8⟩. ⟨hal-02494138⟩
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