arrow
Return

A Multiobjective Topology Optimization Method Based on Modified Hypervolume Increment

delete2026-09-19
delete0
PRE
AI
李正 cover
李正 (Zheng Li)
Y
Yongcheng Song
X
Xuyuan Miao
阮
阮诗伦 (Shilun Ruan)
谷
谷俊峰 (Junfeng Gu) *
G
Genzi Li
C
Changyu Shen
DOI:10.1002/nme.70431delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
The topology optimization involves time-consuming numerical simulations; therefore, it is desired to achieve a high quality Pareto set with a limit number of optimizations when there are multiple conflicted objectives. In this paper, a high-performance multiobjective topology optimization method is developed. The basic idea is to maximize the hypervolume, which is the only quality metric with Pareto consistency. The sparse regions of Pareto points are identified by the local potential hypervolume increment, and a modified hypervolume increment function is adopted to search the new Pareto point. The developed method is compared to several existing approaches based on five examples. The results show that the developed method performs the best, and the advantage is more obvious with more objectives.
Keywords:
hypervolume
multiobjective optimization
pareto solution
topology optimization

Journal

International Journal for Numerical Methods in Engineering cover
International Journal for Numerical Methods in Engineering
IF:
2.9
Papers:
474
Citations:
2.2W

Organization

P
peking university
Scholars:
11.9W
Papers: 8.7W
Citations: 146
D
Dalian University of Technology
Scholars:
6.0W
Papers: 4.4W
Citations: 5.5W
researcher View more organizations
Cited Papers

Cited Papers

Performance assessment of multiobjective optimizers: An analysis and review
err2003-04-01
err3.1K
errOAAI
errZitzler, E; Thiele, L; Laumanns, M; Fonseca, CM; da Fonseca, VG
errShare
errSave
errShare
errSave
Gradient-Informed Pareto-Based Multi-Objective Binary Topology Optimization
err2025-01-01
err0
PREAI
errLucchini,Francesco; Torchio,Riccardo; Alotto,Piergiorgio
errShare
errSave
A faster algorithm for calculating hypervolume
err2006-02-01
err759
PREAI
errWhile, L; Hingston, P; Barone, L; Huband, S
errShare
errSave
errShare
errSave
researcher View more