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TENT CHAOS AND NONLINEAR CONVERGENCE FACTOR WHALE OPTIMIZATION ALGORITHM

机译:帐篷混沌和非线性收敛因子鲸优化算法

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摘要

To solve the problems of slow convergence speed and difficulty in balancing exploration and development in whale optimization algorithm (WOA), a TWOA algorithm integrating Tent chaos and nonlinear convergence factors is proposed. First, the whale population in WOA algorithm uses random walk, which causes the uneven distribution of whale individuals in the exploration stage, and by adding the Tent chaotic mapping strategy and taking advantage of the ergodicity of Tent chaotic mapping, the whale population is distributed more evenly in the random walk stage, which enhances the global search ability of the algorithm. Second, because WOA algorithm adopts linear convergence factor, it cannot effectively solve the balance problem of balancing exploration and development, and by changing linear convergence factor into nonlinear convergence factor, the optimization accuracy of the algorithm can be improved. Finally, by using 10 standard test functions, the problems of unimodal functions and multimodal functions were tested. The results show that the whale optimization algorithm with Tent chaotic map and nonlinear convergence factor is superior to the original algorithm in both mean and standard deviation. From the convergence curve, it can be observed that the convergence speed and convergence accuracy are obviously improved.
机译:为了解决收敛速度缓慢的问题,难以平衡鲸瓦优化算法(WOA)的探索和开发的问题,提出了一种整合帐篷混沌和非线性收敛因子的两种算法。首先,WOA算法中的鲸鱼人口使用随机行走,这导致探测阶段的鲸鱼个体的分布不均匀,并通过添加帐篷混沌映射策略并利用帐篷混沌映射的遍及性,鲸鱼种群分布更多均匀地在随机步行阶段,增强了算法的全球搜索能力。其次,由于WOA算法采用线性收敛因素,它无法有效地解决平衡勘探和开发的平衡问题,并且通过将线性会聚因子改变为非线性收敛因子,可以提高算法的优化精度。最后,通过使用10个标准测试函数,测试了单向功能和多模式功能的问题。结果表明,具有帐篷混沌图和非线性收敛因子的鲸鱼优化算法优于平均值和标准偏差的原始算法。从收敛曲线来看,可以观察到收敛速度和收敛精度明显改善。

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