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

被引：62
作者：
Turgut, Oguz Emrah [1 ]
Turgut, Mert Sinan [2 ]
Coban, Mustafa Turhan [1 ]
机构：
[1] Ege Univ, Fac Engn, Dept Mech Engn, TR-35100 Izmir, Turkey
[2] Dokuz Eylul Univ, Dept Mech Engn, TR-35297 Izmir, Turkey
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2014年 / 68卷 / 04期
关键词：
Chaotic maps; Metaheuristics; Nonlinear system of equations; Optimization methods; Quantum behaved particle swarm optimization; Root solvers; IMPERIALIST COMPETITIVE ALGORITHM; PARAMETER-IDENTIFICATION; GENETIC ALGORITHMS; STABILITY;
D O I：
10.1016/j.camwa.2014.06.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：508 / 530
页数：23
相关论文
共 108 条
[21]  
Caponetto R., 2008, IEEE T EVOLUT COMPUT, V7, P289
[22]   Parameter identification of Rossler's chaotic system by an evolutionary algorithm [J].
Chang, Wei-Der .
CHAOS SOLITONS & FRACTALS, 2006, 29 (05) :1047-1053
[23]   The particle swarm - Explosion, stability, and convergence in a multidimensional complex space [J].
Clerc, M ;
Kennedy, J .
IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION, 2002, 6 (01) :58-73
[24]   Particle swarm approach based on quantum mechanics and harmonic oscillator potential well for economic load dispatch with valve-point effects [J].
Coelho, Leandro dos Santos ;
Mariani, Viviana Cocco .
ENERGY CONVERSION AND MANAGEMENT, 2008, 49 (11) :3080-3085
[25]   Use of chaotic sequences in a biologically inspired algorithm for engineering design optimization [J].
Coelho, Leandro dos Santos ;
Mariani, Viviana Cocco .
EXPERT SYSTEMS WITH APPLICATIONS, 2008, 34 (03) :1905-1913
[26]   A quantum particle swarm optimizer with chaotic mutation operator [J].
Coelho, Leandro dos Santos .
CHAOS SOLITONS & FRACTALS, 2008, 37 (05) :1409-1418
[27]   Gaussian quantum-behaved particle swarm optimization approaches for constrained engineering design problems [J].
Coelho, Leandro dos Santos .
EXPERT SYSTEMS WITH APPLICATIONS, 2010, 37 (02) :1676-1683
[28]  
Erramilli A., 1994, MODELING PACKET TRAF
[29]  
Floudas C.A., 1999, Handbook of Test Problems in Local and Global Optimization
[30]  
Fujita T, 1997, IEEE DECIS CONTR P, P1508, DOI 10.1109/CDC.1997.657685
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