Abstract It has been generally recognized that most of the existing parametric filled function methods used for finding the global mininizer of unconstrained global optimization problems have computational weaknesses. In this paper, a new non parameter-filled function is proposed. This type of auxiliary function behaves as a bridge that can deliver one minimizer to another local minimizer, if one exists. To prove that the proposed filled function satisfies the filling properties required by the filled function definition, the analytical properties are explored. Through several test examples, the capability of this proposed method is demonstrated and the computational weaknesses of the parametric filled function are proved to be surmounted by this new non parameter-filled function.

中文翻译：

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用于全局优化的非参数填充函数

摘要 人们普遍认为，现有的用于寻找无约束全局优化问题的全局最小化器的参数填充函数方法大多存在计算上的弱点。在本文中，提出了一种新的非参数填充函数。这种类型的辅助函数就像一座桥梁，可以将一个最小化器传递到另一个局部最小化器（如果存在）。为了证明所提出的填充函数满足填充函数定义所需的填充特性，我们探索了解析特性。通过几个测试实例，证明了该方法的能力，并证明了这种新的非参数填充函数克服了参数填充函数的计算弱点。