A Coupled Simulated Annealing and Particle Swarm Optimization Reliability-Based Design Optimization Strategy under Hybrid Uncertainties

As engineering systems become increasingly complex, reliability-based design optimization (RBDO) has been extensively studied in recent years and has made great progress. In order to achieve better optimization results, the mathematical model used needs to consider a large number of uncertain factor...

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Main Authors: Shiyuan Yang, Hongtao Wang, Yihe Xu, Yongqiang Guo, Lidong Pan, Jiaming Zhang, Xinkai Guo, Debiao Meng, Jiapeng Wang
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/23/4790
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author Shiyuan Yang
Hongtao Wang
Yihe Xu
Yongqiang Guo
Lidong Pan
Jiaming Zhang
Xinkai Guo
Debiao Meng
Jiapeng Wang
author_facet Shiyuan Yang
Hongtao Wang
Yihe Xu
Yongqiang Guo
Lidong Pan
Jiaming Zhang
Xinkai Guo
Debiao Meng
Jiapeng Wang
author_sort Shiyuan Yang
collection DOAJ
description As engineering systems become increasingly complex, reliability-based design optimization (RBDO) has been extensively studied in recent years and has made great progress. In order to achieve better optimization results, the mathematical model used needs to consider a large number of uncertain factors. Especially when considering mixed uncertainty factors, the contradiction between the large computational cost and the efficiency of the optimization algorithm becomes increasingly fierce. How to quickly find the optimal most probable point (MPP) will be an important research direction of RBDO. To solve this problem, this paper constructs a new RBDO method framework by combining an improved particle swarm algorithm (PSO) with excellent global optimization capabilities and a decoupling strategy using a simulated annealing algorithm (SA). This study improves the efficiency of the RBDO solution by quickly solving MPP points and decoupling optimization strategies. At the same time, the accuracy of RBDO results is ensured by enhancing global optimization capabilities. Finally, this article illustrates the superiority and feasibility of this method through three calculation examples.
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spelling doaj.art-c10db179d13f47f794a46cd34e05d19c2023-12-08T15:21:46ZengMDPI AGMathematics2227-73902023-11-011123479010.3390/math11234790A Coupled Simulated Annealing and Particle Swarm Optimization Reliability-Based Design Optimization Strategy under Hybrid UncertaintiesShiyuan Yang0Hongtao Wang1Yihe Xu2Yongqiang Guo3Lidong Pan4Jiaming Zhang5Xinkai Guo6Debiao Meng7Jiapeng Wang8School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaGlasgow College, University of Electronic Science and Technology of China, Chengdu 611731, ChinaBeijing Research Institute of Mechanical & Electrical Technology Ltd., Beijing 100083, ChinaBeijing Research Institute of Mechanical & Electrical Technology Ltd., Beijing 100083, ChinaBeijing Research Institute of Mechanical & Electrical Technology Ltd., Beijing 100083, ChinaInstitute of Electronic and Information Engineering of UESTC in Guangdong, Dongguan 523808, ChinaSchool of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaAs engineering systems become increasingly complex, reliability-based design optimization (RBDO) has been extensively studied in recent years and has made great progress. In order to achieve better optimization results, the mathematical model used needs to consider a large number of uncertain factors. Especially when considering mixed uncertainty factors, the contradiction between the large computational cost and the efficiency of the optimization algorithm becomes increasingly fierce. How to quickly find the optimal most probable point (MPP) will be an important research direction of RBDO. To solve this problem, this paper constructs a new RBDO method framework by combining an improved particle swarm algorithm (PSO) with excellent global optimization capabilities and a decoupling strategy using a simulated annealing algorithm (SA). This study improves the efficiency of the RBDO solution by quickly solving MPP points and decoupling optimization strategies. At the same time, the accuracy of RBDO results is ensured by enhancing global optimization capabilities. Finally, this article illustrates the superiority and feasibility of this method through three calculation examples.https://www.mdpi.com/2227-7390/11/23/4790reliability-based design and optimizationparticle swarm optimization algorithmsimulated annealing algorithmmost probable point
spellingShingle Shiyuan Yang
Hongtao Wang
Yihe Xu
Yongqiang Guo
Lidong Pan
Jiaming Zhang
Xinkai Guo
Debiao Meng
Jiapeng Wang
A Coupled Simulated Annealing and Particle Swarm Optimization Reliability-Based Design Optimization Strategy under Hybrid Uncertainties
Mathematics
reliability-based design and optimization
particle swarm optimization algorithm
simulated annealing algorithm
most probable point
title A Coupled Simulated Annealing and Particle Swarm Optimization Reliability-Based Design Optimization Strategy under Hybrid Uncertainties
title_full A Coupled Simulated Annealing and Particle Swarm Optimization Reliability-Based Design Optimization Strategy under Hybrid Uncertainties
title_fullStr A Coupled Simulated Annealing and Particle Swarm Optimization Reliability-Based Design Optimization Strategy under Hybrid Uncertainties
title_full_unstemmed A Coupled Simulated Annealing and Particle Swarm Optimization Reliability-Based Design Optimization Strategy under Hybrid Uncertainties
title_short A Coupled Simulated Annealing and Particle Swarm Optimization Reliability-Based Design Optimization Strategy under Hybrid Uncertainties
title_sort coupled simulated annealing and particle swarm optimization reliability based design optimization strategy under hybrid uncertainties
topic reliability-based design and optimization
particle swarm optimization algorithm
simulated annealing algorithm
most probable point
url https://www.mdpi.com/2227-7390/11/23/4790
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