Mathematical background for particle swarm and heuristic algorithms

• Autorzy: Balcer M.
• Języki publikacji: EN

Abstrakty

EN

The article seeks to clarify some concepts and principles that are used in constructing algorithms that utilize particle swarm as a tool for searching extremes of target functions, including heuristic algorithms. The author also draws attention to some philosophical aspects of creating metaphors by ordering basic ways of constructing the transition vectors.

Słowa kluczowe

EN

PSO; heuristics; algorithm; optimization

PL

PSO; heurystyka; algorytm; optymalizacja

• Wydawca: Wydawnictwo Politechniki Śląskiej
• Czasopismo: Silesian Journal of Pure and Applied Mathematics
• Rocznik: 2017
• Tom: Vol. 7, iss. 1
• Strony: 83--92
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Balcer M.

• Institute of Mathematics, Silesian University of Technology, Gliwice, Poland

Bibliografia

• 1. Baonabeau E., Dorigo M., Theraulaz G.: Swarm Intelligence: From Natural to Artificials Systems. Oxford University Press, Oxford 1999.
• 2. Cleghorn C.W., Engelbrecht A.P.: Particle swarm convergence: standardized analysis and topological influence. In: Dorigo et al. (eds.): ANTS 2014. LNCS 8667, Springer, Cham 2014, 134–145.
• 3. Deb K.: Optimization for Engineering Design: Algorithms and Examples. Prentice-Hall, New Delhi 1995.
• 4. Engelbrecht A.P.: Fundamentals of Computational Swarm Intelligence. Wiley, Hoboken 2005.
• 5. Fowler A.C.: Mathematical Models in the Applied Science. Cambridge University Press, Cambridge 1997.
• 6. Gazi V., Passino K.M.: Swarm Stability and Optimization. Springer, Berlin 2011.
• 7. Judea P.: Heuristics: Intelligent Search Strategies for Computer Problem Solving. Addison-Wesley, Boston 1984.
• 8. Kennedy J., Eberhart R., Shi Y.: Swarm Intelligence. Academic Press, San Francisco 2001.
• 9. Talbi E.G.: Metaheuristics: From Design to Implementation. Wiley, Hoboken 2005.
• 10. Yang X.S.: Biology-derived algorithms in engineering optimization. In: Olariu S., Zomaya A. (eds.): Handbook of Bioinspired Algorithms. Chapman Hall/CRC, Boca Raton 2005, 589–600.
• 11. Yang X.S.: Nature Inspired Metaheuristic Algorithms. Luniver Press, London 2010.
• 12. Yudong Z., Shuihua W., Genlin J.: A Comprehensive survey on particle swarm optimization algorithm and its applications. Math. Problems Eng. 2015 (2015), article ID 931256.