融合多策略的哈里斯鹰优化算法求解Steiner树问题OA
Multi-strategy Harris Hawks Optimization Algorithm for Solving Steiner Tree Problems
针对传统哈里斯鹰优化算法在解决图的 Steiner 树问题(Steiner tree problem of graph,GSTP)时存在种群分布不均匀、探索与开发阶段难以平衡以及易陷入局部最优的情况,提出一种融合多策略的哈里斯鹰优化算法.首先,通过 S 型函数对算法进行离散化处理,并引入 Logistic-Sine 混合混沌映射,以优化种群初始化过程.其次,设计了动态自适应权重策略,增强猎物逃逸能量的非线性表达,从而进一步平衡探索与开发行为.最后,在迭代后期对最优个体进行自适应高斯—柯西混合变异扰动,以防止种群过早收敛于局部最优.在多个 GSTP 实例上进行实验,结果表明,所提算法求解精度更高,收敛速度更快.
To address the issues of uneven population distribution,imbalanced exploration and exploita-tion phases,and susceptibility to local optima in the traditional Harris hawks optimization algorithm when solving the Steiner tree problem of graph(GSTP),an improved Harris hawks optimization algorithm in-corporating multiple strategies was proposed.Firstly,the algorithm was discretized using an S-shaped transfer function,and a Logistic-Sine hybrid chaotic mapping was introduced to optimize the population initialization process.Secondly,a dynamic adaptive weight strategy was designed to enhance the nonlin-ear expression of prey escape energy,thereby further balancing exploration and exploitation behaviors.Finally,adaptive Gaussian-Cauchy mixed mutation perturbation was applied to the optimal individuals during the later iterations to prevent the population from prematurely converging to local optima.Experi-ments were conducted on multiple GSTP instances,and the results showed that the proposed algorithm achieved higher solution accuracy and faster convergence speed.
王晓峰;王军霞;彭庆媛;华盈盈;何飞;唐傲
北方民族大学 计算机科学与工程学院 宁夏 银川 750021||北方民族大学 图像图形智能处理国家民委重点实验室 宁夏 银川 750021北方民族大学 计算机科学与工程学院 宁夏 银川 750021北方民族大学 计算机科学与工程学院 宁夏 银川 750021北方民族大学 计算机科学与工程学院 宁夏 银川 750021北方民族大学 计算机科学与工程学院 宁夏 银川 750021北方民族大学 计算机科学与工程学院 宁夏 银川 750021
信息技术与安全科学
Steiner树问题哈里斯鹰优化算法Logistic-Sine混合混沌映射自适应逃逸能量高斯—柯西变异算子
Steiner tree problemHarris hawks optimization algorithmLogistic-Sine hybrid chaotic mappingadaptive escape energyGaussian-Cauchy mutation operator
《郑州大学学报(理学版)》 2026 (3)
33-40,8
国家自然科学基金项目(62062001)宁夏青年拔尖人才项目(2021)宁夏自然科学基金项目(2024AAC03165)
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