全局优化问题的一个新的无参数填充函数

A new parameterless filled function for global optimization problems

求全局最优化问题的填充函数算法被提出以来,参数的选取和调整一直是制约算法有效性的因素。如何在实际的计算过程中选取合适的参数,直接影响和决定了运算速度和效率。因此,构造不含参数的填充函数就显得极为重要。提出一个新的无参数的填充函数,对其理论性质进行了分析,并给出相应的填充函数算法,数值计算验证了算法的有效性。

Since the filled function algorithm for global optimization problems has been proposed,the selection and adjustment of parameters have always been the factors that restrict the effectiveness of the algorithm.How to select appropriate parameters in the actual calculation process directly affects and determines the operation speed and efficiency.Therefore,constructing a filled function without parameters is extremely important.This paper proposes a new parameterless filled function,and gives the corresponding filled function algorithm.Through numerical experiments and comparison with existing literature,numerical experiments verify the effectiveness of the algorithm.