AN EFFICIENT ALGORITHM FOR NUMERICAL FUNCTION OPTIMIZATION: PARTICLE SWARM OPTIMIZATION
Keywords:
Particle swarm optimization (PSO), Function optimization, Goldstein- Price , De jong functionAbstract
The Particle swarm optimization (PSO) is one of the evolutionary computation techniques that can be applied to a wide range of real world problems. In this paper, PSO algorithm is numerically illustrated with a one dimensional unconstrained problem. The efficiency and robustness of this algorithm is demonstrated by applying it to the benchmark functions namely Goldstein- Price and De jong functions and the results were compared with those obtained using other optimization algorithms.Matlab code is created and used to solve the benchmark functions.
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References
Andries P Engelbrecht (2007), “Computational Intelligence- An introduction”, Second edition, John wiley & Sons, Ltd, 285-358.
Christian Blum and Daniel Merkle (Eds.) (2008), “Swarm Intelligence- Introduction and Applications”, Springer-Verlag Berlin Heidelberg, 43-86.
Sheng-Ta Hsieh Tsung-Ying Sun Chan-Cheng Liu Shang-Jeng Tsai (2009), “Efficient Population Utilization Strategy for Particle Swarm Optimizer”, IEEE Transactions on systems, man, and cybernetics—Part B: cybernetics, Vol. 39, No. 2, 444-456.
Lee T S Ting T O Lin Y J Than Htay (2007), “A particle swarm approach for grinding process optimization analysis”, Int J Adv Manuf Technol, Vol. 33, 1128–1135. DOI 10.1007/s00170-006-0538-y.
Saravanan R Siva Sankar R Asokan P Vijayakumar K Prabhaharan G (2005), “Optimization of cutting conditions during continuous finished profile machining using non-traditional techniques”, Int J Adv Manuf Technol, Vol. 26, 30–40. DOI 10.1007/s00170-003-1938-x.
Asokan P Baskar N Babu K Prabhaharan G Saravanan R (2005), “Optimization of Surface Grinding Operations Using Particle Swarm Optimization Technique”, ASME Journal of Manufacturing Science and Engineering, Vol. 127 / 885. DOI: 10.1115/1.2037085.
Yuhui Shi (2004), “Particle Swarm Optimization”, IEEE Neural Networks Society, 8-13.
Venkata Rao R Pawar P J (2010), “Parameter optimization of a multi-pass milling process using non-traditional optimization algorithms”, Applied Soft Computing, Vol. 10, 445–456.
Singiresu S Rao (2009), “Engineering Optimization: Theory and Practice”, Fourth Edition, John Wiley & Sons, Inc., pp 708-714.
Pham D T Ghanbarzadeh A Koç E Otri S Rahim S Zaidi M (2006), “The Bees Algorithm – A Novel Tool for Complex Optimisation Problems”, IPROMS Cardiff University, England, 454–459.