计算机工程与应用 ›› 2007, Vol. 43 ›› Issue (2): 105-105.

• 学术探讨 • 上一篇    下一篇

基于小生镜的混合差分演化模拟退火算法

胡中波,熊盛武,苏清华   

  1. 孝感学院数学系,武汉理工大学计算机学院
  • 收稿日期:2006-05-18 修回日期:1900-01-01 出版日期:2007-01-11 发布日期:2007-01-11
  • 通讯作者: 胡中波 huzb

Coupling Differential Evolutionary and Simulated Annealing Algorithm Based on Niche

ZhongBo Hu,,   

  1. 孝感学院数学系,武汉理工大学计算机学院
  • Received:2006-05-18 Revised:1900-01-01 Online:2007-01-11 Published:2007-01-11
  • Contact: ZhongBo Hu

摘要: 本文提出了一种新的演化算法——基于小生镜的混合差分演化-模拟退火算法(NDESA算法),分析了构造NDESA算法的合理性。并且结合典型多峰值测试函数——shubert函数的求解试验,说明NDESA算法能够高效地、快速的找到具有多个全局最优值点的多峰函数的所有全局最优值点,且参数的选择不必很严格,是一种较好的求解多峰值函数的所有最优值点的方法。还通过实验说明了结合小生镜,差分演化和模拟退火算法这三种策略的必要性,并分析得出了几个较好的结论。

关键词: 差分演化, 模拟退火, 小生镜, 多峰函数优化

Abstract: A new evolutionary algorithm, coupling differential evolution and simulated annealing algorithm based on niche, is proposed in this paper. The rationality to construct the proposed algorithm is discussed. Shubert function, a representative multimodal optimization problem, is used to verify the algorithm. The results show that the proposed algorithm can find all global optimum points quickly without strict request for parameters, so it is a good approach to find all global optimum points for multimodal functions. In addition, the necessity to combine three schemes, niche, differential evolution and simulated annealing algorithm, is also validated by several numerical experiments.

Key words: differential evolution, simulated annealing, niche, multimodal function optimization