基于动态分区与收敛速度控制器的改进竞争群优化算法
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TP183

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国家自然科学基金项目(61703145);河南省科技攻关项目(222102210213).


Improved competitive swarm optimization algorithm based on dynamic partition strategy and convergence speed controller
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    摘要:

    为提升竞争群优化(CSO)算法在解决复杂高维优化问题时的性能, 提出一种基于分区策略与收敛速度控制器的改进竞争群优化(PCSCCSO)算法. 首先, 采用适应度变化率驱动的动态分区策略, 以增强算法的收敛性和搜索效率; 然后, 提出一种快速CSO策略, 通过三重竞争机制增强算法的寻优能力: 获胜粒子通过对立学习策略更新, 失败粒子向获胜子群平均位置学习, 劣败粒子通过变异增强局部搜索, 这些策略能够有效平衡全局探索与局部开发, 提高算法的寻优效率; 最后, 结合粒子与全局最优解间的余弦相似度以及停滞计数, 设计自适应的收敛速度控制器, 用以调节粒子的搜索行为, 从而避免粒子陷入局部最优解, 加速全局收敛. 理论分析验证了所提出算法的稳定性和收敛性. 实验结果表明, 与其他改进算法相比, PCSCCSO算法在处理复杂高维优化问题时具有更好的收敛精度和收敛效率.

    Abstract:

    To enhance the performance of the competitive swarm optimization (CSO) algorithm in solving complex high-dimensional optimization problems, an improved CSO algorithm is proposed based on the partition strategy and convergence speed controller (PCSCCSO). First, a dynamic partition strategy driven by fitness change rate is introduced to improve the convergence and search efficiency. Then, a fast CSO strategy is designed with a triple competition mechanism to strengthen the optimization capability. Winning particles are updated via an opposition-based learning strategy, defeated particles learn from the average position of the winning subgroup and inferior particles undergo mutation-enhanced local search. These mechanisms can effectively balance global exploration and local exploitation, and can enhance the optimization efficiency. Finally, an adaptive convergence speed controller is developed by integrating the cosine similarity between particles and the global best solution with stagnation counting, which can dynamically regulate particle search behaviors to avoid local optima and accelerate global convergence. Theoretical analysis demonstrates the stability and convergence of the proposed algorithm. Experiment results indicate that, compared to other improved algorithms, the PCSCCSO algorithm can obtain superior convergence accuracy and efficiency in solving complex high-dimensional optimization problems.

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张伟,伊杰昌.基于动态分区与收敛速度控制器的改进竞争群优化算法[J].控制与决策,2025,40(10):3019-3028

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  • 收稿日期:2025-03-25
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  • 在线发布日期: 2025-09-09
  • 出版日期: 2025-10-20
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