Abstract
The self-adaptive immune particle swarm optimization (SAIPSO) algorithm is a hybrid algorithm based on immune algorithm and particle swarm optimization algorithm. SAIPSO algorithm has been implemented and achieved better result compared with the classical particle swarm optimization algorithm. However, the theoretical support of the algorithm is equally important as the implementation of the algorithm. Therefore, this paper mainly uses the convergence theorem of random search algorithm and the mathematical induction to prove the convergence of SAIPSO algorithm, which will help the improvement and application of the algorithm in the future.
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References
Solis, F., Wets, R.: Minimization by random search techniques. Math. Oper. Res. 6, 19–30 (1981)
Tang, F., Li, M., Luo, A.: Global convergence analysis of an artificial immune algorithm. J. Changsha Univ. Electr. Pow. 19, 1–4 (2004)
Cui, H., Zhu, Q.: Convergence analysis and parameter selection in particle swarm optimization. Comput. Eng. Appl. 43, 89–91 (2007)
Zhang, H., Wang, H., Zhijun, H.: Analysis of particle swarm optimization algorithm global convergence method. Eng. Appl. 47, 61–63 (2011)
Han, L.: The study of immune particle swarm optimization algorithm and its application. Xi’an Polytechnic University (2008)
Zhang, C., Li, Q.: Immune particle swarm optimization algorithm based on the adaptive search strategy. Chin. J. Eng. 39, 125–132 (2017)
Sun, L., Hailang, X., Ge, H.: Novel global convergence stochastic particle swarm optimization optimizers. J. Jilin Univ. 47, 615–621 (2017)
Xie, Z., Zhong, S., Wei, Y.: Modified particle swarm optimization algorithm and its convergence analysis. Comput. Eng. Appl. 47, 46–49 (2011)
Acknowledgement
This work was supported by The National Natural Science Foundation of China (Project No. 61662057, 61672301) and Higher Educational Scientific Research Projects of Inner Mongolia Autonomous Region (Project No. NJZC17198).
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Jiang, J., Song, C., Ping, H., Zhang, C. (2018). Convergence Analysis of Self-adaptive Immune Particle Swarm Optimization Algorithm. In: Huang, T., Lv, J., Sun, C., Tuzikov, A. (eds) Advances in Neural Networks – ISNN 2018. ISNN 2018. Lecture Notes in Computer Science(), vol 10878. Springer, Cham. https://doi.org/10.1007/978-3-319-92537-0_19
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DOI: https://doi.org/10.1007/978-3-319-92537-0_19
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