Particle Swarm Optimization Based on Local Attractors of Ordinary Differential Equation System
Joint Authors
Wu, Wei
Yang, Wenyu
Fan, Yetian
Li, Zhengxue
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Particle swarm optimization (PSO) is inspired by sociological behavior.
In this paper, we interpret PSO as a finite difference scheme for solving a system of stochastic ordinary differential equations (SODE).
In this framework, the position points of the swarm converge to an equilibrium point of the SODE and the local attractors, which are easily defined by the present position points, also converge to the global attractor.
Inspired by this observation, we propose a class of modified PSO iteration methods (MPSO) based on local attractors of the SODE.
The idea of MPSO is to choose the next update state near the present local attractor, rather than the present position point as in the original PSO, according to a given probability density function.
In particular, the quantum-behaved particle swarm optimization method turns out to be a special case of MPSO by taking a special probability density function.
The MPSO methods with six different probability density functions are tested on a few benchmark problems.
These MPSO methods behave differently for different problems.
Thus, our framework not only gives an interpretation for the ordinary PSO but also, more importantly, provides a warehouse of PSO-like methods to choose from for solving different practical problems.
American Psychological Association (APA)
Yang, Wenyu& Wu, Wei& Fan, Yetian& Li, Zhengxue. 2014. Particle Swarm Optimization Based on Local Attractors of Ordinary Differential Equation System. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1035035
Modern Language Association (MLA)
Yang, Wenyu…[et al.]. Particle Swarm Optimization Based on Local Attractors of Ordinary Differential Equation System. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1035035
American Medical Association (AMA)
Yang, Wenyu& Wu, Wei& Fan, Yetian& Li, Zhengxue. Particle Swarm Optimization Based on Local Attractors of Ordinary Differential Equation System. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1035035
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1035035