Chaotic quantum behaved particle swarm optimization algorithm for solving nonlinear system of equations

This study proposes a novel chaotic quantum behaved particle swarm optimization algorithm for solving nonlinear system of equations. Different chaotic maps are introduced to enhance the effectiveness and robustness of the algorithm. Several benchmark studies are carried out. Logistic map gives the b...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) Vol. 68; no. 4; pp. 508 - 530
Main Authors: Turgut, Oguz Emrah, Turgut, Mert Sinan, Coban, Mustafa Turhan
Format: Journal Article
Language:English
Published: 01.08.2014
Subjects:
Algorithms
Chaos theory
Dynamical systems
Mathematical analysis
Nonlinear dynamics
Robustness
Swarm intelligence
ISSN:0898-1221
Online Access:Get full text
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Summary:This study proposes a novel chaotic quantum behaved particle swarm optimization algorithm for solving nonlinear system of equations. Different chaotic maps are introduced to enhance the effectiveness and robustness of the algorithm. Several benchmark studies are carried out. Logistic map gives the best results and is utilized in solving nonlinear equation sets. Nine well known problems are solved with our algorithm and results are compared with Quantum Behaved Particle Swarm Optimization, Intelligent Tuned Harmony Search, Gravitational Search Algorithm and literature studies. Comparison results reveal that the proposed algorithm can cope with the highly non-linear problems and outperforms many algorithms which exist in the literature.
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ISSN:0898-1221
DOI:10.1016/j.camwa.2014.06.013