摘要
针对基本鲸鱼优化算法(Whale optimization algorithm,WOA)在求解最优解不在原点附近的目标函数时存在收敛精度低、易陷入局部最优解的缺陷,提出一种基于余弦控制因子和多项式变异的鲸鱼优化算法(CPWOA).所提算法中控制参数按照余弦曲线变化,并加入同步余弦惯性权值,使得在迭代前期减缓收敛速度以进行充分的全局探索,而在迭代后期加速收敛以提高算法精度;同时,对最佳鲸鱼位置引入多项式变异,以增强算法跳出局部最优解的能力.将所提算法对多个shifted单峰、多峰和固定维测试函数进行求解,实验结果表明,与基本WOA、EHO、GWO、SCA、MBO以及其他改进型WOA算法相比,CPWOA对绝大多数测试函数的求解有更高的精度和稳定性.用非参数估计方法对计算结果进行差异显著性统计检验,表明CPWOA算法的显著性更优.
The basic whale optimization algorithm(WOA)has the defects of low convergence,getting easily trapped into local optima,and being difficult to keep balance in exploration and exploitation when solving the shifted functions whose optimum are not at the near origin.A whale optimization algorithm based on cosine control factors and polynomial mutation(CPWOA)is proposed to solve the mentioned defects.In this algorithm,the control parameter is changed as a cosine curve,and a synchronous cosine inertia weight is added to slow down the convergence speed early in the iteration of the algorithme thus improve exploration,and to accelerate the convergence in the later iteration thus improve the accuracy of the exploitation.And polynomial mutation is joined in the optimum whale location to enhance the ability of jumping out of local optimal solutions.By the experiments on multiple shifted benchmark functions such as unimodal,multimodal,and fixed-dimension multimodal,the proposed strategy outperforms the WOA,the EHO,the GWO,the SCA,the MBO and other improved WOAs on solution accuracy and stability.The non-parametric statistical test is carried out to show the significance of the difference of the proposed method.
作者
黄清宝
李俊兴
宋春宁
徐辰华
林小峰
HUANG Qing-bao;LI Jun-xing;SONG Chun-ning;XU Chen-hua;LIN Xiao-feng(School of Electrical Engineering,Guangxi University,Nanning 530004,China)
出处
《控制与决策》
EI
CSCD
北大核心
2020年第3期559-568,共10页
Control and Decision
基金
国家自然科学基金项目(51767005)
广西自然科学基金项目(2017GXNSFAA198225).
关键词
余弦因子
多项式变异
鲸鱼优化算法
全局优化
偏移型测试函数
统计检验
cosine factor
polynomial mutation
whale optimization algorithm
global optimization
shifted benchmark functions
non-parametric statistical test
作者简介
通讯作者:黄清宝(1979-),男,副教授,博士生,从事智能计算与机器学习的研究,E-mail:qingbaohuang@163.com;李俊兴(1990-),男,硕士生,从事嵌入式控制系统与智能计算的研究,E-mail:1220415874@qq.com;宋春宁(1969-),男,副教授,博士,从事嵌入式控制系统等研究,E-mail:scn206@gux.edu.cn;徐辰华(1975-),女,副教授,博士,从事复杂系统建模与智能优化算法等研究,E-mail:xchhelen@163.com;林小峰(1955-),男,教授,博士生导师,从事智能控制等研究,E-mail:gxulinxf@163.com.
