An improved multi-objective artificial physics optimization algorithm based on R2 indicator and its application

Artificial Physics Optimization (APO) algorithms in solving constrained multi-objective problems often encounter challenges such as uneven population distribution and imbalances between global and local search capabilities. To address these issues, we propose the Constrained Rank Multi-Objective Art...

Full description

Saved in:
Bibliographic Details
Main Authors: Bao Sun, Yihong Chang, Min Gao, Zhanlong Li, Jiankang Liu, Jinbin Wang
Format: Article
Language:English
Published: SAGE Publishing 2025-04-01
Series:Measurement + Control
Online Access:https://doi.org/10.1177/00202940241276279
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850093573086642176
author Bao Sun
Yihong Chang
Min Gao
Zhanlong Li
Jiankang Liu
Jinbin Wang
author_facet Bao Sun
Yihong Chang
Min Gao
Zhanlong Li
Jiankang Liu
Jinbin Wang
author_sort Bao Sun
collection DOAJ
description Artificial Physics Optimization (APO) algorithms in solving constrained multi-objective problems often encounter challenges such as uneven population distribution and imbalances between global and local search capabilities. To address these issues, we propose the Constrained Rank Multi-Objective Artificial Physical Optimization based on the R2 indicator (R2-ICRMOAPO) algorithm. This algorithm integrates non-dominated sorting with the R2 indicator and updates the external storage set using the contribution value derived from the R2 indicator formula, ensuring both set distribution and convergence. It also dynamically adjusts inertia weights and gravitational factors to enhance its global and local search capabilities. To evaluate the performance of the R2-ICRMOAPO algorithm, we compared it with four other multi-objective optimization algorithms using standard test functions. The results indicate that it demonstrates superior distribution and optimization performance. Furthermore, we applied it to optimize the parameters of a hydro-pneumatic suspension system. The experimental results show that it can reduce the root mean square value of car body vertical acceleration by approximately 21.4% and the root mean square value of dynamic tire load by about 19.6%. This reduction effectively enhances vehicle smoothness within a reasonable range. Consequently, these results confirm the feasibility of the R2-ICRMOAPO algorithm to solve practical problems.
format Article
id doaj-art-b6786cca89af4042aab7b1d2deba061f
institution DOAJ
issn 0020-2940
language English
publishDate 2025-04-01
publisher SAGE Publishing
record_format Article
series Measurement + Control
spelling doaj-art-b6786cca89af4042aab7b1d2deba061f2025-08-20T02:41:52ZengSAGE PublishingMeasurement + Control0020-29402025-04-015810.1177/00202940241276279An improved multi-objective artificial physics optimization algorithm based on R2 indicator and its applicationBao Sun0Yihong Chang1Min Gao2Zhanlong Li3Jiankang Liu4Jinbin Wang5School of Applied Science, Taiyuan University of Science and Technology, Taiyuan, Shanxi, ChinaSchool of Applied Science, Taiyuan University of Science and Technology, Taiyuan, Shanxi, ChinaSchool of Applied Science, Taiyuan University of Science and Technology, Taiyuan, Shanxi, ChinaSchool of Vehicle and Transportation Engineering, Taiyuan University of Science and Technology, Taiyuan, Shanxi, ChinaSchool of Applied Science, Taiyuan University of Science and Technology, Taiyuan, Shanxi, ChinaSchool of Applied Science, Taiyuan University of Science and Technology, Taiyuan, Shanxi, ChinaArtificial Physics Optimization (APO) algorithms in solving constrained multi-objective problems often encounter challenges such as uneven population distribution and imbalances between global and local search capabilities. To address these issues, we propose the Constrained Rank Multi-Objective Artificial Physical Optimization based on the R2 indicator (R2-ICRMOAPO) algorithm. This algorithm integrates non-dominated sorting with the R2 indicator and updates the external storage set using the contribution value derived from the R2 indicator formula, ensuring both set distribution and convergence. It also dynamically adjusts inertia weights and gravitational factors to enhance its global and local search capabilities. To evaluate the performance of the R2-ICRMOAPO algorithm, we compared it with four other multi-objective optimization algorithms using standard test functions. The results indicate that it demonstrates superior distribution and optimization performance. Furthermore, we applied it to optimize the parameters of a hydro-pneumatic suspension system. The experimental results show that it can reduce the root mean square value of car body vertical acceleration by approximately 21.4% and the root mean square value of dynamic tire load by about 19.6%. This reduction effectively enhances vehicle smoothness within a reasonable range. Consequently, these results confirm the feasibility of the R2-ICRMOAPO algorithm to solve practical problems.https://doi.org/10.1177/00202940241276279
spellingShingle Bao Sun
Yihong Chang
Min Gao
Zhanlong Li
Jiankang Liu
Jinbin Wang
An improved multi-objective artificial physics optimization algorithm based on R2 indicator and its application
Measurement + Control
title An improved multi-objective artificial physics optimization algorithm based on R2 indicator and its application
title_full An improved multi-objective artificial physics optimization algorithm based on R2 indicator and its application
title_fullStr An improved multi-objective artificial physics optimization algorithm based on R2 indicator and its application
title_full_unstemmed An improved multi-objective artificial physics optimization algorithm based on R2 indicator and its application
title_short An improved multi-objective artificial physics optimization algorithm based on R2 indicator and its application
title_sort improved multi objective artificial physics optimization algorithm based on r2 indicator and its application
url https://doi.org/10.1177/00202940241276279
work_keys_str_mv AT baosun animprovedmultiobjectiveartificialphysicsoptimizationalgorithmbasedonr2indicatoranditsapplication
AT yihongchang animprovedmultiobjectiveartificialphysicsoptimizationalgorithmbasedonr2indicatoranditsapplication
AT mingao animprovedmultiobjectiveartificialphysicsoptimizationalgorithmbasedonr2indicatoranditsapplication
AT zhanlongli animprovedmultiobjectiveartificialphysicsoptimizationalgorithmbasedonr2indicatoranditsapplication
AT jiankangliu animprovedmultiobjectiveartificialphysicsoptimizationalgorithmbasedonr2indicatoranditsapplication
AT jinbinwang animprovedmultiobjectiveartificialphysicsoptimizationalgorithmbasedonr2indicatoranditsapplication
AT baosun improvedmultiobjectiveartificialphysicsoptimizationalgorithmbasedonr2indicatoranditsapplication
AT yihongchang improvedmultiobjectiveartificialphysicsoptimizationalgorithmbasedonr2indicatoranditsapplication
AT mingao improvedmultiobjectiveartificialphysicsoptimizationalgorithmbasedonr2indicatoranditsapplication
AT zhanlongli improvedmultiobjectiveartificialphysicsoptimizationalgorithmbasedonr2indicatoranditsapplication
AT jiankangliu improvedmultiobjectiveartificialphysicsoptimizationalgorithmbasedonr2indicatoranditsapplication
AT jinbinwang improvedmultiobjectiveartificialphysicsoptimizationalgorithmbasedonr2indicatoranditsapplication