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

Turgut O. E., Turgut M. S., ÇOBAN M. T.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.68, sa.4, ss.508-530, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68 Sayı: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.camwa.2014.06.013
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.508-530
  • Anahtar Kelimeler: Chaotic maps, Metaheuristics, Nonlinear system of equations, Optimization methods, Quantum behaved particle swarm optimization, Root solvers, IMPERIALIST COMPETITIVE ALGORITHM, PARAMETER-IDENTIFICATION, GENETIC ALGORITHMS, STABILITY
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.