Study on the Strategy of Decreasing Inertia Weight in Particle Swarm Optimi-ation Algorithm

doi:10.7652/xjtuxb200601013

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Study on the Strategy of Decreasing Inertia Weight in
Particle Swarm Optimi-ation Algorithm

更新时间：2025-07-09

- Study on the Strategy of Decreasing Inertia Weight in
  Particle Swarm Optimi-ation Algorithm
- Vol. 40, Issue 1, Pages: 53-0056(2006)
- 作者机构：
  
  西安电子科技大学机电工程学院,西安,710071
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb200601013
  CLC： TP18
- Online First：10 January 2006，
  
  Published：2006
- 稿件说明：
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Study on the Strategy of Decreasing Inertia Weight in
Particle Swarm Optimi-ation Algorithm
[J]. 2006, 40(1): 53-0056. DOI: 10.7652/xjtuxb200601013.
DOI：

Study on the Strategy of Decreasing Inertia Weight in
Particle Swarm Optimi-ation Algorithm
[J]. 2006, 40(1): 53-0056. DOI: 10.7652/xjtuxb200601013. DOI：

摘要

为了有效地控制粒子群优化算法的全局搜索和局部搜索

基于递减惯性权值的基本思想

在 现有的线性递减权值策略的基础上

提出了开口向下抛物线、开口向上抛物线和指数曲线3 种非线 性的权值递减策略

并采用Sp here 、Rosenbrock 、Griewank 和Rast rigrin 这4 个标准测试函数测试 这些策略对算法的影响. 试验结果表明

对于多数连续优化问题

在初始权值和最终权值相同的情 况下

凹函数递减策略优于线性策略

而线性策略优于凸函数策略

凹函数递减策略能够在不影响 收敛精度的情况下较大幅度地提高粒子群算法的收敛速度.

Abstract

To efficiently cont rol t he global and local search of particle swarm optimi-ation ( PSO)

motivated by t he idea of decreasing inertia weight (DIW)

t hree nonlinear st rategies for DIW

a parabola opening upwards

a parabola opening downwards and an exponential curve

are pro2 posed based on the existing linear DIW. Sp here

Rosenbrock

Griewank and Rast rigrin f unctions are used to evaluate t he st rategies on t he PSO performance. The experimental result s show t hat for most continuous optimi-ation problems

t he st rategy of concave f unction gains an advantage over t he linear st rategy

while the linear st rategy outperforms st rategy of convex f unction wit h t he identical initial and final weight s.

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