A novel hybrid algorithm for solving multiobjective optimization problems with engineering applications
type: Item
instance of: scholarly article
title: A novel hybrid algorithm for solving multiobjective optimization problems with engineering applications
zbMATH Open document ID: 1427.90247
DOI: 10.1155/2018/5316379
author: Lulu Fan
author: Tatsuo Yoshino
author: Tao Xu
author: Ye Lin
author: Huan Liu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: An effective hybrid algorithm is proposed for solving multiobjective optimization engineering problems with inequality constraints. The weighted sum technique and BFGS quasi-Newton's method are combined to determine a descent search direction for solving multiobjective optimization problems. To improve the computational efficiency and maintain rapid convergence, a cautious BFGS iterative format is utilized to approximate the Hessian matrices of the objective functions instead of evaluating them exactly. The effectiveness of the proposed algorithm is demonstrated through a comparison study, which is based on numerical examples. Meanwhile, we propose an effective multiobjective optimization strategy based on the algorithm in conjunction with the surrogate model method. This proposed strategy has been applied to the crashworthiness design of the primary energy absorption device's crash box structure and front rail under low-speed frontal collision. The optimal results demonstrate that the proposed methodology is promising in solving multiobjective optimization problems in engineering practice.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C59
Mathematics Subject Classification ID: 65K05
zbMATH DE Number: 7019116
describes a project that uses: Matlab
describes a project that uses: Genetic Algorithm and Direct Search Toolbox
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5316379
OpenAlex ID: W2787036899
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description: scientific article; zbMATH DE number 7019116