关键词: 差分进化算法, 变异策略, Nelder-Mead方法, 全局优化

Abstract: For the problems that differential evolution algorithm is prone to premature convergence and its local search is slower, a mutation strategy similar to Nelder-Mead method is proposed, which is called reflective mutation strategy. Different from other basic differential strategies, the proposed mutation strategy has a distinct difference direction and has a stronger local convergence speed. In order to avoid the possibility of premature increase due to the greedy of differential orientation, the reflection mutation strategy uses 4 random individuals to complete a mutation operation. An adaptive differential evolution algorithm（RMADE） based on the reflective mutation strategy is developed by combining the generation strategy and the adaptive parameter method based on the reflective mutation strategy. The performance of RMADE is tested by using 12 functions and compared with other algorithms. The results show that RMADE has faster convergence speed and better global detection capability, and reflects the value of reflective mutation strategy.

Key words: differential evolution algorithm, mutation strategy, Nelder-Mead method, global optimization