针对基本正弦余弦算法(sine cosine algorithm,SCA)求解高维复杂优化问题时存在精度低、收敛慢和易陷入局部最优等缺点,提出一种改进的SCA(improved sine cosine algorithm,iSCA)。首先,该算法设计出一种基于倒S形函数的非线性转换参数...针对基本正弦余弦算法(sine cosine algorithm,SCA)求解高维复杂优化问题时存在精度低、收敛慢和易陷入局部最优等缺点,提出一种改进的SCA(improved sine cosine algorithm,iSCA)。首先,该算法设计出一种基于倒S形函数的非线性转换参数规则替代原有线性策略,从而实现从全局搜索到局部搜索的良好过渡;其次,嵌入个体历史最佳信息修改位置搜索方程以指导寻优过程,进一步改善算法的解精度和加快收敛;最后,引入翻筋斗觅食机制生成新的位置以增加群体多样性,从而降低算法陷入局部最优的概率。选取10个高维基准测试函数、10个UCI高维数据集和2个风电机组故障数据集进行仿真实验,并与基本SCA、MSCA(memoryguided SCA)和I-GWO(improved grey wolf optimizer)算法比较,结果表明,iSCA算法在精度和收敛指标上均优于其他比较方法。展开更多
The gas-kinetic theory based flux splitting method has been successfully proposed for solving one-and two-dimensional ideal magnetohydrodynamics by Xu et al. [J.Comput.Phys.,1999;2000],respectively.This paper extends ...The gas-kinetic theory based flux splitting method has been successfully proposed for solving one-and two-dimensional ideal magnetohydrodynamics by Xu et al. [J.Comput.Phys.,1999;2000],respectively.This paper extends the kinetic method to solve three-dimensional ideal magnetohydrodynamics equations,where an adaptive parameter 17 is used to control the numerical dissipation in the flux splitting method. Several numerical examples are given to demonstrate that the proposed method can achieve high numerical accuracy and resolve strong discontinuous waves in three dimensional ideal MHD problems.展开更多
文摘针对基本正弦余弦算法(sine cosine algorithm,SCA)求解高维复杂优化问题时存在精度低、收敛慢和易陷入局部最优等缺点,提出一种改进的SCA(improved sine cosine algorithm,iSCA)。首先,该算法设计出一种基于倒S形函数的非线性转换参数规则替代原有线性策略,从而实现从全局搜索到局部搜索的良好过渡;其次,嵌入个体历史最佳信息修改位置搜索方程以指导寻优过程,进一步改善算法的解精度和加快收敛;最后,引入翻筋斗觅食机制生成新的位置以增加群体多样性,从而降低算法陷入局部最优的概率。选取10个高维基准测试函数、10个UCI高维数据集和2个风电机组故障数据集进行仿真实验,并与基本SCA、MSCA(memoryguided SCA)和I-GWO(improved grey wolf optimizer)算法比较,结果表明,iSCA算法在精度和收敛指标上均优于其他比较方法。
基金supported by the National Basic Research Program under the Grant 2005CB321703the National Natural Science Foundation of China(No.10925101 and No.10828101)+4 种基金the Doctoral Program of the Education Ministry of China(No.20070001036)the Program for New Century Excellent Talents in University(No.NCET-07-0022)supported by Hong Kong Research Grant Council 621709National Natural Science Foundation of China(Project No.10928205)National Key Basic Research Program(2009CB724101)
文摘The gas-kinetic theory based flux splitting method has been successfully proposed for solving one-and two-dimensional ideal magnetohydrodynamics by Xu et al. [J.Comput.Phys.,1999;2000],respectively.This paper extends the kinetic method to solve three-dimensional ideal magnetohydrodynamics equations,where an adaptive parameter 17 is used to control the numerical dissipation in the flux splitting method. Several numerical examples are given to demonstrate that the proposed method can achieve high numerical accuracy and resolve strong discontinuous waves in three dimensional ideal MHD problems.
基金supported by the National Natural Science Foundation of China(12001517,72091212)the USTC Research Funds of the Double First-Class Initiative(YD2040002005)the Fundamental Research Funds for the Central Universities(WK2040000026,WK2040000027)。
