基于混沌元胞自动机的改进遗传算法

Ehsan Tafehi, S. Ahmadnia, M. Yousefi
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引用次数: 2

摘要

遗传算法是一种在问题空间中寻找最优解的搜索技术。使用遗传算法的主要问题是在复杂的多峰搜索问题中,通常会导致过早收敛。此外,某些优化问题,如变分问题,是无法用遗传算法求解的。这是由于不太清楚的适应度函数产生坏的染色体块,尽管事实上只有好的染色体块交叉。本文利用混沌元胞自动机(CCA)和影响伪随机数发生器(PRN),提出了一种改进的遗传算法。伪随机数发生器(Pseudo Random Number Generator, PRNG)会影响遗传算法的变异、交叉和精英的百分比选择,从而产生混沌数,从而彻底改变遗传算法的性能。这些因素使得遗传算法在问题空间中具有适当的随机行为,从而使遗传算法具有较高的开发和探索能力。此外,这种不可预测的行为改变了遗传算法的因素与CCA创建的精英选择的百分比,帮助所提出的算法避免过早收敛和陷入局部最小值,以及能够覆盖更大空间的问题。与传统的遗传算法相比,该方法具有更快、更准确的搜索速度和更强的搜索能力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Improved genetic algorithm using chaotic cellular automata — CCAGA
Genetic Algorithm (GA) is a search technique used to find the optimized solution in a problem space. The main problem in using the GA is in complex multi-peak search problems that usually leads to premature convergence. Furthermore certain optimization problems, such as variant problems, cannot be solved by means of genetic algorithms. This occurs due to poorly known fitness functions which generate bad chromosome blocks in spite of the fact that only good chromosome blocks crossover. In this paper by using Chaotic Cellular Automata (CCA) along with influencing Pseudo Random Number Generator (PRN), a new and enhanced method for GA is presented. Mutation, crossover and elitism's percentage selection are all influenced by Pseudo Random Number Generator (PRNG), and consequently, chaotic numbers are produced which completely change the GA performance. Mentioned factors lead to the appropriate random behavior for the genome in the problem space which give the GA, high exploitation and exploration ability. Moreover this unpredictable behavior in changing the GA's factors with the percentage of elitism selection created by CCA, help the proposed algorithm to avoid converging prematurely and falling in local minimums as well as the ability to cover the bigger space's problem. In comparison with traditional GA algorithm, the proposed method illustrates faster and accurate performance for searching in problem space with more exploration ability.
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