引用本文:江善和, 王其申, 江巨浪.一种新型Skew Tent映射的混沌混合优化算法[J].控制理论与应用,2007,24(2):269~273.[点击复制]
JIANG Shan-he, WANG Qi-shen, JIANG Ju-lang.Chaotic hybrid optimization algorithm of a new Skew Tent map[J].Control Theory and Technology,2007,24(2):269~273.[点击复制]
一种新型Skew Tent映射的混沌混合优化算法
Chaotic hybrid optimization algorithm of a new Skew Tent map
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DOI编号  10.7641/j.issn.1000-8152.2007.2.019
  2007,24(2):269-273
中文关键词  Logistic映射  Skew Tent映射  Alopex算法  混沌混合优化  全局最优
英文关键词  Logistic map  Skew Tent map  Alopex algorithm  chaotic hybrid optimization  global optimization
基金项目  安徽省教育厅自然科学基金资助项目(2006KJ080B);~安徽省教育厅杰出青年基金资助项目(2005jq1119).
作者单位
江善和, 王其申, 江巨浪 安庆师范学院 物理与电气工程学院, 安徽 安庆 246011 
中文摘要
      针对已有的混沌优化算法几乎都是利用Logistic映射作为混沌序列发生器,而该混沌序列的概率密度函数呈两头多、中间少的切比雪夫型的分布性质,不利于搜索的效率和能力.为此,首先构造一种新型混沌映射序列发生器----Skew Tent映射并结合迭代优化特点加以改进,然后分析了它的混沌特性.~其次,~将改进的混沌映射与Alopex启发算法相结合,充分发挥Alopex算法的快速搜索能力和混沌优化全局寻优的特性,~提出一种混沌混合优化算法,提高了算法的收敛速度和有效搜索全局最优解.最后,仿真算例验证了该算法的有效性和Skew Tent混沌映射的应用前景.
英文摘要
      The existing chaos optimization algorithms were almost based on Logistic map. However, the probability density function of chaotic sequences for Logistic map is a Chebyshev-type function, which may affect the global searching capacity and computational efficiency of chaos optimization algorithm. Firstly, a new chaotic sequences-Skew Tent map is established in this paper, and is improved by its iterative optimization property. The chaotic performance of Skew Tent map is then discussed by eliminating the bad points during the chaos searching. A hybrid optimization algorithm, in which the improved chaotic map is combined with the Alopex heuristic algorithm, is also proposed by making full use of the properties of the rapid search capability of Alopex algorithm and the global optimization of improved chaotic map. The convergence speed and global optimal value of the presented algorithm are thus improved. Finally, the simulation examples show the effectiveness of the algorithm, as well as the practicability of Skew Tent map.