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Mathematical Problems in Engineering
Volume 2015, Article ID 790465, 9 pages
Research Article

The Inertia Weight Updating Strategies in Particle Swarm Optimisation Based on the Beta Distribution

Department of Water Resources and Environmental Modeling, Faculty of Environmental Sciences, Czech University of Life Sciences Prague, Kamycka 1176, Praha 6, 165 21 Suchdol, Czech Republic

Received 6 June 2014; Revised 21 August 2014; Accepted 8 September 2014

Academic Editor: Fang Zong

Copyright © 2015 Petr Maca and Pavel Pech. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The presented paper deals with the comparison of selected random updating strategies of inertia weight in particle swarm optimisation. Six versions of particle swarm optimization were analysed on 28 benchmark functions, prepared for the Special Session on Real-Parameter Single Objective Optimisation at CEC2013. The random components of tested inertia weight were generated from Beta distribution with different values of shape parameters. The best analysed PSO version is the multiswarm PSO, which combines two strategies of updating the inertia weight. The first is driven by the temporally varying shape parameters, while the second is based on random control of shape parameters of Beta distribution.