融合多策略的改进蜣螂优化算法及其应用

Improved Dung Beetle Optimization Algorithm with Multi-strategy and Its Application

  • 摘要: 针对蜣螂优化算法存在的全局搜索性能与局部开发能力不协调、准确性低、寻优速度慢等问题,提出了一种融合多策略的改进蜣螂优化算法。采取Circle序列和透镜成像策略,确保生成的蜣螂分布更加均衡,进而扩大搜索范围;引入翻筋斗策略,优化蜣螂算法中小蜣螂觅食过程中的位置更新过程,帮助蜣螂种群更有效地进行全局搜索,在平衡全局勘探和局部开发的同时避免早熟收敛;融入柯西-高斯变异策略,增大了算法跳出局部最优的概率。对12个基准函数的寻优结果进行了对比分析。由Wilcoxon秩和统计检验结果可知,改进算法具有更好的收敛效果、鲁棒性和寻优速度。最后,通过工程应用中焊接梁设计和压力容器设计的寻优对比结果,进一步验证了改进策略的有效性和改进算法在处理实际工程应用方面的优越性。

     

    Abstract: To solve problems such as incompatibility between global search performance and local development ability, low accuracy, and slow search speed, a multistrategy-improved dung beetle optimization algorithm is proposed. Circle sequence and lens imaging strategies are adopted to ensure a more balanced distribution of generated dung beetles, thereby expanding search scope and diversity. The somersault strategy is introduced to optimize the position-updating process of dung beetles during their foraging process in the dung beetle algorithm, aiding dung beetles in conducting global searches more effectively and avoiding premature convergence while balancing global exploration and local exploitation. Combined with the Cauchy-Gauss variation strategy, the probability of the algorithm jumping out of the local optimum is increased. The optimization results of 12 benchmark functions are compared and analyzed. The Wilcoxon rank sum statistical test results show that the improved algorithm has a better convergence effect, robustness, and optimization speed. Finally, through the comparison of the optimizing results of welding beam design and pressure vessel design in engineering applications, the effectiveness and superiority of the improved algorithm in practical engineering applications are further verified.

     

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