A Multi-Objective Particle Swarm Optimization Algorithm Based on Gaussian Mutation and an Improved Learning Strategy

Obtaining high convergence and uniform distributions remains a major challenge in most metaheuristic multi-objective optimization problems. In this article, a novel multi-objective particle swarm optimization (PSO) algorithm is proposed based on Gaussian mutation and an improved learning strategy. T...

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Main Authors: Ying Sun, Yuelin Gao
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/2/148
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spelling doaj-0702ed6744d24223b62a29efcb1705f92020-11-24T20:47:25ZengMDPI AGMathematics2227-73902019-02-017214810.3390/math7020148math7020148A Multi-Objective Particle Swarm Optimization Algorithm Based on Gaussian Mutation and an Improved Learning StrategyYing Sun0Yuelin Gao1School of Computer Science and Information Engineering, Hefei University of Technology, Hefei 230009, ChinaSchool of Computer Science and Information Engineering, Hefei University of Technology, Hefei 230009, ChinaObtaining high convergence and uniform distributions remains a major challenge in most metaheuristic multi-objective optimization problems. In this article, a novel multi-objective particle swarm optimization (PSO) algorithm is proposed based on Gaussian mutation and an improved learning strategy. The approach adopts a Gaussian mutation strategy to improve the uniformity of external archives and current populations. To improve the global optimal solution, different learning strategies are proposed for non-dominated and dominated solutions. An indicator is presented to measure the distribution width of the non-dominated solution set, which is produced by various algorithms. Experiments were performed using eight benchmark test functions. The results illustrate that the multi-objective improved PSO algorithm (MOIPSO) yields better convergence and distributions than the other two algorithms, and the distance width indicator is reasonable and effective.https://www.mdpi.com/2227-7390/7/2/148multi-objective optimization problemsparticle swarm optimization (PSO)Gaussian mutationimproved learning strategy
collection DOAJ
language English
format Article
sources DOAJ
author Ying Sun
Yuelin Gao
spellingShingle Ying Sun
Yuelin Gao
A Multi-Objective Particle Swarm Optimization Algorithm Based on Gaussian Mutation and an Improved Learning Strategy
Mathematics
multi-objective optimization problems
particle swarm optimization (PSO)
Gaussian mutation
improved learning strategy
author_facet Ying Sun
Yuelin Gao
author_sort Ying Sun
title A Multi-Objective Particle Swarm Optimization Algorithm Based on Gaussian Mutation and an Improved Learning Strategy
title_short A Multi-Objective Particle Swarm Optimization Algorithm Based on Gaussian Mutation and an Improved Learning Strategy
title_full A Multi-Objective Particle Swarm Optimization Algorithm Based on Gaussian Mutation and an Improved Learning Strategy
title_fullStr A Multi-Objective Particle Swarm Optimization Algorithm Based on Gaussian Mutation and an Improved Learning Strategy
title_full_unstemmed A Multi-Objective Particle Swarm Optimization Algorithm Based on Gaussian Mutation and an Improved Learning Strategy
title_sort multi-objective particle swarm optimization algorithm based on gaussian mutation and an improved learning strategy
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-02-01
description Obtaining high convergence and uniform distributions remains a major challenge in most metaheuristic multi-objective optimization problems. In this article, a novel multi-objective particle swarm optimization (PSO) algorithm is proposed based on Gaussian mutation and an improved learning strategy. The approach adopts a Gaussian mutation strategy to improve the uniformity of external archives and current populations. To improve the global optimal solution, different learning strategies are proposed for non-dominated and dominated solutions. An indicator is presented to measure the distribution width of the non-dominated solution set, which is produced by various algorithms. Experiments were performed using eight benchmark test functions. The results illustrate that the multi-objective improved PSO algorithm (MOIPSO) yields better convergence and distributions than the other two algorithms, and the distance width indicator is reasonable and effective.
topic multi-objective optimization problems
particle swarm optimization (PSO)
Gaussian mutation
improved learning strategy
url https://www.mdpi.com/2227-7390/7/2/148
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