一个新的单参数填充函数及其在水库年径流预报中的应用  

A NEW ONE PARAMETER FILLED FUNCTION AND ITS APPLICATION IN ANNUAL RUNOFF FORECAST OF RESERVOIR

作　　者：李佳媛[1] 张莹[1] Li Jiayuan;Zhang Ying(School of mathematical sciences,Zhejiang Normal University,Jinhua 321004)

机构地区：[1]浙江师范大学数学科学学院,金华321004

出　　处：《高等学校计算数学学报》2023年第3期254-271,共18页Numerical Mathematics A Journal of Chinese Universities

摘　　要：全局优化问题在经济、金融、图像处理、集成电路设计等方面有着广泛的应用,由于这些应用领域中所得的数学模型一般会存在许多不同于全局最优解的局部最优解,使得传统的优化方法,如牛顿法、最速下降法等都不能直接应用于求解这些全局优化问题.因此,全局优化算法已成为优化领域中非常有意义的研究热点.The filled function method is a kind of deterministic algorithm for solving global optimization problems.According to the definition of the flled function,a new one parameter flled function is proposed for unconstrained optimization problems.Under reasonable assumptions,its correlation properties are explored and proved,and the corresponding algorithm is given.Numerical experimental results show that the algorithm is feasible and effective.At the same time,the prediction result obtained by using this flled function to solve the example of reservoir annual runoff prediction is better than that by using the existing neural network algorithm.

关 键 词：全局优化问题 最速下降法 填充函数 单参数 全局优化算法 数学模型 牛顿法 全局最优解 

分 类 号：O221.2[理学—运筹学与控制论]