A Novel Hybrid Algorithm for Solving Multiobjective Optimization Problems with Engineering Applications
Joint Authors
Xu, Tao
Liu, Huan
Fan, Lulu
Lin, Ye
Yoshino, Tatsuo
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-22
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Fan, Lulu& Yoshino, Tatsuo& Xu, Tao& Lin, Ye& Liu, Huan. 2018. A Novel Hybrid Algorithm for Solving Multiobjective Optimization Problems with Engineering Applications. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1207907
Modern Language Association (MLA)
Fan, Lulu…[et al.]. A Novel Hybrid Algorithm for Solving Multiobjective Optimization Problems with Engineering Applications. Mathematical Problems in Engineering No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1207907
American Medical Association (AMA)
Fan, Lulu& Yoshino, Tatsuo& Xu, Tao& Lin, Ye& Liu, Huan. A Novel Hybrid Algorithm for Solving Multiobjective Optimization Problems with Engineering Applications. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1207907
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207907