Reprint of: On convergence analysis of particle swarm optimization algorithm
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J. Kennedy, R.C. Eberhart, Particle swarm optimization, in: Proceedings of the IEEE International Conference on Neural Networks, 1995, pp. 1942–1948.
Banks, 2007, A review of particle swarm optimization. Part I: background and development, Nat. Comput., 6, 467, 10.1007/s11047-007-9049-5
AlRashidi, 2009, A survey of particle swarm optimization applications in electric power systems, IEEE Trans. Evol. Comput., 14, 913, 10.1109/TEVC.2006.880326
Clerc, 2002, The particle swarm-explosion, stability and convergence in a multidimensional complex space, IEEE Trans. Evol. Comput., 6, 58, 10.1109/4235.985692
Kadirkamanathan, 2006, Stability analysis of the particle dynamics in particle swarm optimizer, IEEE Trans. Evol. Comput., 10, 245, 10.1109/TEVC.2005.857077
van den Bergh, 2006, A study of particle swarm optimization particle trajectories, Inform. Sci., 176, 937, 10.1016/j.ins.2005.02.003
Liu, 2015, Order-2 stability analysis of particle swarm optimization, Evol. Comput., 23, 187, 10.1162/EVCO_a_00129
Jiang, 2007, Stochastic convergence analysis and parameter selection of the standard particle swarm optimization algorithm, Inform. Process. Lett., 102, 8, 10.1016/j.ipl.2006.10.005
R. Poli, W.B. Langdon, Markov chain models of bare-bones particle swarm optimizers, in: Proceedings of the 9th Annual Conference on Genetic and Evolutionary Computation, 2007, pp. 142–149.
Cai, 2009, Convergence improvement of particle swarm optimization based on the expanding attaining-state set, J. Huazhong Univ. Sci. Technol. Nat. Sci., 37, 44
Solis, 1981, Minimization by random search techniques, Math. Oper. Res., 6, 19, 10.1287/moor.6.1.19
van den Bergh, 2010, A convergence proof for the particle swarm optimiser, Fund. Inform., 105, 341
Dirk, 2010, Runtime analysis of a binary particle swarm optimizer, Theoret. Comput. Sci., 411, 2084, 10.1016/j.tcs.2010.03.002
Sun, 2012, Convergence analysis and improvements of quantum-behaved particle swarm optimization, Inform. Sci., 193, 81, 10.1016/j.ins.2012.01.005
Per, 2013, Finite first hitting time versus stochastic convergence in particle swarm optimization, Adv. Metaheuristics, 53, 1, 10.1007/978-1-4614-6322-1_1
Ren, 2011, The global convergence analysis of particle swarm optimization algorithm based on markov chain, Control Theory Appl., 28, 462
Pan, 2013, Analysis of standard particle swarm optimization algorithm based on Markov Chain, Acta Automat. Sinica, 39, 381, 10.1016/S1874-1029(13)60037-3
Tian, 2013, A review of convergence analysis of particle swarm optimization, Int. J. Grid Distrib. Comput., 6, 117, 10.14257/ijgdc.2013.6.6.10
Yuan, 2015, Analyzing convergence and rates of convergence of particle swarm optimization algorithms using stochastic approximation methods, IEEE Trans. Automat. Control, 60, 1760, 10.1109/TAC.2014.2381454
Y.H. Shi, R.C. Eberhart, Empirical study of particle swarm optimization, in: Proceedings of the Congress on Evolutionary Computation, 1999,pp. 1945–1950.
J. Kennedy, R. Mendes, Population structure and particle swarm performance, in: Proceedings of the Congress on Evolutionary Computation, 2002,pp. 1671–1676.
J.J. Liang, P.N. Suganthan, Dynamic multi-swarm particle swarm optimizer, in: Proceedings of the IEEE Swarm Intelligence Symposium, 2005,pp. 124–129.
J. Sun, B. Feng, W.B. Xu, Particle swarm optimization with particles having quantum behavior, in: Proceedings of the 2004 Congress on Evolutionary Computation, CEC’04, Portland, USA, 2004, pp. 326–331.
Parrott, 2006, Locating and tracking multiple dynamic optima by a particle swarm model using speciation, IEEE Trans. Evol. Comput., 10, 440, 10.1109/TEVC.2005.859468
Brits, 2007, Locating multiple optima using particle swarm optimization, Appl. Math. Comput., 189, 1859
Zhao, 2010, A perturbed particle swarm algorithm for numerical optimization, Appl. Soft. Comput., 10, 119, 10.1016/j.asoc.2009.06.010
Tang, 2011, Feedback learning particle swarm optimization, Appl. Soft. Comput., 11, 4713, 10.1016/j.asoc.2011.07.012
Wang, 2012, A memetic particle swarm optimization algorithm for multimodal optimization problems, Inform. Sci., 197, 38, 10.1016/j.ins.2012.02.016
Huang, 2012, Example-based learning particle swarm optimization for continuous optimization, Inform. Sci., 182, 125, 10.1016/j.ins.2010.10.018
Lawler, 2006
Xiao, 2014, Moment convergence rates in the law of logarithm for moving average process under dependence, Stochastics, 86, 1, 10.1080/17442508.2012.748057
Kao, 1997
Yu, 2008, A new approach to estimating the expected first hitting time of evolutionary algorithms, Artificial Intelligence, 172, 1809, 10.1016/j.artint.2008.07.001