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Leader Glowworm Swarm Optimization Algorithm for Solving Nonlinear Equations Systems

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Warianty tytułu
PL
Algorytm mrówkowy świetlikowy do rozwiązywania systemu równań nieliniowych
Języki publikacji
EN
Abstrakty
EN
This paper presents a leader glowworm swarm optimization algorithm (LGSO) for solving nonlinear equations systems. Since glowworm swarm optimization algorithm has bad optimized ability at high dimension, proposing glowworm swarm optimization algorithm with leader mechanism to strengthen the global optimization ability. Through various types nonlinear equations testing, experiment results show that the proposed algorithm has strong global searching capability and quickly finding the solutions of the equations, thus obviously improving the optimization global ability.
PL
Zaprezentowano optymalizacyjny algorytm mrówkowy “świetlikowy” do rozwiązywania system równań nieliniowych. Ponieważ algorytm ten ma słabe możliwości optymalizacyjne przy dużych rozmiarach wprowadzono wspomagający mechanizm prowadzący „leader”.
Rocznik
Strony
101--106
Opis fizyczny
Bibliogr. 15 poz., rys., tab., wykr.
Twórcy
autor
autor
autor
  • College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, China, yongquanzhou@126.com
Bibliografia
  • [1] Krishnanand K. N. D. Ghose D. “Glowworm Swarm Optimization: A New Method for Optimizing Multi-modal Functions”.Computational Intelligence Studies, 1(1):93-119, 2009.
  • [2] Krishnanand K.N. “Glowworm Swarm Optimization: A Multimodal Function Optimization Paradigm with Applications to Multiple Signal Source Localization Tasks”. Indian: Department of Aerospace Engineering, Indian Institute of Science, 2007.
  • [3] Krishnanand K.N. and Ghose, D. “Theoretical Foundations for Rendezvous of Glowworm-inspired Agent Swarms at Aultiple Locations”.,Robotics and Autonomous Systems, 7(56): 549-569, 2008.
  • [4] Krishnanand K.N. and Ghose D. “A Glowworm Swarm Optimization Based Multi-robot System for Signal Source Localization”. Design and Control of Intelligent Robotic Systems, 53-74,2009.
  • [5] Krishnanand K.N. and Ghose, D. “Chasing Multiple Mobile Signal Sources: A Glowworm Swarm Optimization Approach”. In Third Indian International Conference on Artificial Intelligence (IICAI 07), Indian,2007.
  • [6] Kennedy J, Eberhart R C. “Particle Swarm Optimization”. Proceedings of IEEE International Conference on Neural Networks. Piscataway, NJ: IEEE Service Center, IV: 1942-1948, 1995.
  • [7] Xiao lei Li, Jixi an Ian. “Artificial Fish-swarm Algorithm: Bottom-up Optimization Model”. Trans Annual Meeting of Chinese Process Systems Engineering Society., pp.76-82, 2001.
  • [8] Xiao lei Li, Zhejiang Shoo and Jixi an Ian. “An Optimizing Method based on Autonomous Animates: Fish-swarm Algorithm”, Systems Engineering-Theory & Practice. 22(11):32-38, 2002,
  • [9] Kokum Deep, Jadish Chan Banal. “Mean Particle Swarm Optimization for Function Optimization”. Computational Intelligence Studies, 1(1):72- 91. 2009.
  • [10] Carina Grosan and Ajith Abraham. “A New Approach for Solving Nonlinear Equations Systems”.IEEE Trans. Systems and Humans, 38(3):698-714, 2008.
  • [11] Krishnanand K. N. D. Ghose D. “Glowworm Swarm Optimization for Simultaneous Capture of Multiple Local Optima of Multima of Multimodal Functions”, Swarm Intell, 3:87-124, 2009.
  • [12] P. Van Hentenryck, D. McAllester, and D. Kapur, “Solving Polynomial Systems Using a Branch and Prune Approach,” SIAM J. Numer. Anal., 34(2):797-827, 1997.
  • [13] B. W. Bader, “Tensor–Krylov Methods for Solving Large-scale Systems of Nonlinear Equations,” SIAM J. Numer. Anal., 43(3): 1321-1347, 2005.
  • [14] B. Salimbahrami and B. Lohmann, “Order Reduction of Large Scale Second-order Systems Using Krylov Subspace Methods,” Lin. Alg. Appl., 415(2/3): 385-405, 2006.
  • [15] S. Effati and A. R. Nazemi, “A new method for solving a system of the nonlinear equations,” Appl. Math. Comput.,168(2): pp. 877-894, 2005.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPOB-0049-0022
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