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Updated: Oct 18, 2025

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A Particle Swarm Algorithm Based on a Multi-Stage Search Strategy.

Yong Shen1, Wangzhen Cai1, Hongwei Kang1

  • 1School of Software, Yunnan University, Kunming 650504, China.

Entropy (Basel, Switzerland)
|September 28, 2021
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Summary
This summary is machine-generated.

Particle Swarm Optimization (PSO) can get stuck in local optima. This study proposes a new multi-stage search strategy to improve PSO

Keywords:
entropyexploration and exploitationparticle swarm optimizationrepulsion and attractionstrategy

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Area of Science:

  • Computational Intelligence
  • Optimization Algorithms
  • Swarm Intelligence

Background:

  • Particle Swarm Optimization (PSO) suffers from premature convergence to local optima and suboptimal search accuracy.
  • Existing methods to enhance PSO diversity and accuracy often fail to balance exploration and exploitation effectively.
  • Population-based approaches frequently divide into sub-populations for spatial management.

Purpose of the Study:

  • To introduce a novel multi-stage search strategy for Particle Swarm Optimization.
  • To address the limitations of easily getting trapped in local optima and low search accuracy in standard PSO.
  • To achieve a better balance between exploration and exploitation in PSO algorithms.

Main Methods:

  • A multi-stage search strategy is proposed, primarily utilizing mutual repulsion among particles, supplemented by attraction.
  • The strategy aims to control population traits by managing particle interactions.
  • The algorithm enhances population entropy over iteration time while ensuring convergence.

Main Results:

  • The proposed multi-stage search strategy demonstrated improved performance on the CEC2017 test functions.
  • The algorithm achieved satisfactory results, outperforming standard PSO and other improved PSO variants.
  • A more balanced search process was created, enhancing population diversity and search accuracy.

Conclusions:

  • The developed multi-stage search strategy effectively mitigates local optima entrapment in PSO.
  • The proposed method offers a more balanced approach to exploration and exploitation, enhancing overall optimization performance.
  • This research contributes a valuable improvement to Particle Swarm Optimization for complex problem-solving.