基于椭圆第一定义和群体协同进化机制的工程优化问题多策略改进麻雀搜索算法

Gang Chen, Hu Sun
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摘要

麻雀搜索算法(SSA)因其在工程优化中的快速收敛性和精确性而得到广泛认可,但在复杂问题上却面临着过早收敛的挑战。针对这一问题,本研究提出了一种多策略改进麻雀搜索算法(MISSA),以提高其优化性能和适用性。该算法首次将椭圆的第一定义集成到 SSA 中,以平衡其探索和利用能力。该算法还引入了群体协同进化机制,以促进群体多样性并抑制过早收敛。与大多数现有研究不同的是,我们利用消融实验来评估这些增强策略对 SSA 的有效影响。基于 Wilcoxon 符号秩检验和 Friedman 检验的统计结果表明,基于椭圆第一定义的动态调节器对提高 SSA 性能的影响最大。基于 CEC2017 基准问题的数值实验作为优化案例,将 MISSA 与经典元启发式算法及其他最先进的 SSA 变体进行了比较。结果证明了 MISSA 在解决问题方面的出色表现和巨大潜力。通过六个实际工程优化问题验证了所提算法的适用性,展示了其在全球优化领域的强大竞争力。
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Multi-strategy improved sparrow search algorithm based on first definition of ellipse and group co-evolutionary mechanism for engineering optimization problems

The Sparrow Search Algorithm (SSA) is recognized for its rapid convergence and precision in engineering optimization, yet it faces the challenge of premature convergence on complex problems. To address this, a multi-strategy improved sparrow search algorithm (MISSA) is proposed to enhance the optimization performance and applicability in this study. For the first time in the algorithm, the first definition of ellipses is integrated into SSA to balance its exploration and exploitation capabilities. A group co-evolutionary mechanism is introduced to promote population diversity and suppress premature convergence. Unlike most existing work, ablation experiments are utilized to evaluate the effective impact of these enhancement strategies on SSA. Statistical results based on the Wilcoxon signed-rank test and Friedman test show that the dynamic regulator based on the first definition of ellipses has the greatest impact on improving the performance of SSA. Numerical experiments based on the CEC2017 benchmark problems are used as an optimization case to compare MISSA with the classical metaheuristic algorithm and other state-of-the-art variants of SSA. The results demonstrate the outstanding performance and immense potential of MISSA in problem-solving. The applicability of the proposed algorithm is validated through six actual engineering optimization problems, showcasing strong competitiveness in global optimization.

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