Adaptive firefly algorithm based on reverse search strategy

H. Yin, Huipeng Meng, YuChen Zhang
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Abstract

Firefly algorithm is proposed by Prof. Yang Xinshe for solving global optimization problems, which uses the principle of mutual attraction of fireflies in nature. The firefly algorithm is a branch of evolutionary algorithms, which is often used to solve single-objective global optimization problems with fewer parameters, easy to implement and easy to understand. However, the traditional firefly algorithm uses the full-attraction model in updating, which is easy to fall into local optimum. Therefore, a firefly algorithm that performs backward search with Poisson distributed probabilities is proposed, which enables the firefly to search more widely in the solution space and easily jump out of the local optimum. Comparative experiments are conducted on 28 functions of the CEC2013 test set. The experimental results show that in 22 of the functions the firefly with the reverse search strategy performs more accurately than the other improved firefly algorithms and in 26 of the functions the firefly with the reverse search strategy converges faster than the other fireflies.
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基于反向搜索策略的自适应萤火虫算法
萤火虫算法是杨新社教授利用自然界萤火虫相互吸引的原理,提出的求解全局优化问题的算法。萤火虫算法是进化算法的一个分支,常用于解决参数少、易于实现、易于理解的单目标全局优化问题。而传统的萤火虫算法在更新时采用全吸引模型,容易陷入局部最优。因此,提出了一种利用泊松分布概率进行反向搜索的萤火虫算法,使萤火虫在解空间中搜索范围更广,容易跳出局部最优。对CEC2013测试集的28个函数进行了对比实验。实验结果表明,在22个功能中,反向搜索策略的萤火虫比其他改进的萤火虫算法执行得更准确;在26个功能中,反向搜索策略的萤火虫比其他改进的萤火虫收敛得更快。
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