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arXiv · 1511.06248

Critical Parameters in Particle Swarm Optimisation

J. Michael Herrmann·Adam Erskine·Thomas Joyce
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Abstract

Particle swarm optimisation is a metaheuristic algorithm which finds reasonable solutions in a wide range of applied problems if suitable parameters are used. We study the properties of the algorithm in the framework of random dynamical systems which, due to the quasi-linear swarm dynamics, yields analytical results for the stability properties of the particles. Such considerations predict a relationship between the parameters of the algorithm that marks the edge between convergent and divergent behaviours. Comparison with simulations indicates that the algorithm performs best near this margin of instability.

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J. Michael Herrmann, Adam Erskine, Thomas Joyce. 2015-11-19. Critical Parameters in Particle Swarm Optimisation. https://arxiv.org/abs/1511.06248

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