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A parameter-free filled function for unconstrained global optimization. (English) Zbl 1068.90098
Summary: The filled function method is an approach for finding a global minimum of multi-dimensional functions. With more and more relevant research, it becomes a promising way used in unconstrained global optimization. Some filled functions with one or two parameters have already been suggested. However, there is no certain criterion to choose a parameter appropriately. In this paper, a parameter-free filled function is proposed. The definition of the original filled function and assumptions of the objective function given by Ge are improved according to the presented parameter-free filled function. The algorithm and numerical results of test functions are reported. Conclusions are drawn in the end.

90C30 Nonlinear programming
Full Text: DOI
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