本文给出了一个非线性全局最优化问题的填充函数定义,此定义不同于以前已有的填充函数定义.根据此定义,本文提出了一簇单参数填充函数和相应的填充函数算法.对几个算例的数据测试表明,该填充函数法是可行和有效的.
This paper give a definition of the filled function for nonlinear global optimization problem, this definition is different from the previously ones. A family of filled function with only one parameter which satisfies this definition is presented and a solution algorithm is proposed. Numerical results tested on several problems indicate that the proposed method is applicable and efficient.