A Chaos Quantum Immune Algorithm for Continuous Space Optimization
LI Pan-Chi1,2, LI Shi-Yong1
1.Department of Control Science and Engineering, Harbin Institute of Technology, Harbin 150001 2.Department of Computer Science, Daqing Petroleum Institute, Daqing 163318
Abstract:By integrating the ergodicity of chaos searching and the high efficiency of quantum computation into immune optimization, a novel chaos quantum immune algorithm for continuous space optimization is presented. In this algorithm, antibodies in colonies are coded by quantum bits and updated by quantum rotation gates. To change phase of qubit, two different chaos variables are introduced into the quantum rotation gate. The one with the relatively small amplitude performs the cloning of excellent individuals to implement the local searching, and the other one with the relatively large amplitude performs the mutation of inferior individuals to realize the global searching. The convergence of the proposed algorithm has been proved. The experimental results indicate that the algorithm remarkably improves the convergence performance and the search efficiency of the immune optimization algorithm.
李盼池,李士勇. 求解连续空间优化问题的混沌量子免疫算法*[J]. 模式识别与人工智能, 2007, 20(5): 654-660.
LI Pan-Chi , LI Shi-Yong. A Chaos Quantum Immune Algorithm for Continuous Space Optimization. , 2007, 20(5): 654-660.
[1] Nasaroui O, Gonzalez F, Dasgupta D. The Fuzzy Artificial Immune System: Motivations, Basic Concepts and Application to Clustering and Web Profiling // Proc of the IEEE International Conference on Fuzzy System. Honolulu, USA, 2002, Ⅰ: 711716 [2] Chun J S, Jung H K, Hahn S Y. A Study on Comparison of Optimization Performance between Immune Algorithm and Other Heuristic Algorithms. IEEE Trans on Magnetic, 1998, 34(5): 29722975 [3] Zhang Tong, Wang Hongwei, Wang Zicai. Mutative Scale Chaos Optimization Algorithm and Its Application. Control and Decision, 1999, 14(3): 285287 (in Chinese) (张 彤, 王宏伟, 王子才. 变尺度混沌优化方法及其应用. 控制与决策, 1999, 14(3): 285287) [4] Hun K H, Kim J H. QuantumInspired Evolutionary Algorithm for a Class of Combinatorial Optimization. IEEE Trans on Evolutionary Computing, 2002, 6(6): 580593 [5] Li Bing, Jiang Weisun. Chaos Optimization Method and Its Application. Control Theory & Applications, 1997, 14(4): 613 615 (in Chinese) (李 兵, 蒋慰孙. 混沌优化方法及其应用. 控制理论与应用, 1997, 14(4): 613615) [6] Jiao Licheng, Du Haifeng, Liu Fang, et al. Immune Optimization: Computation, Learning and Recognition. Beijing, China: Science Press, 2006 (in Chinese) (焦李成, 杜海峰, 刘 芳, 等. 免疫优化计算、学习与识别. 北京: 科学出版社, 2006) [7] Zuo Xingquan, Li Shiyong. Adaptive Immune Evolutionary Algorithm. Control and Decision, 2004, 19(3): 252-256 (in Chinese) (左兴权, 李士勇. 一类自适应免疫进化算法. 控制与决策, 2004, 19(3): 252256)