A computable filled function used for global minimization

Xian Liu

doi:10.1016/S0096-3003(00)00157-0

2002-03-01

PRE

Xian Liu *

DOI：10.1016/S0096-3003(00)00157-0

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摘要

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The filled function method is an approach to find the global minimum of multimodal and multidimensional functions. This paper proposes a new filled function. This function needs only one parameter and includes neither exponential terms nor logarithmic terms. Furthermore, the lower bound of weight factor a is usually smaller than that of one previous formulation. Therefore, it is reasonable to expect that the proposed function has better computability than the previously reported ones. (C) 2002 Elsevier Science Inc. All rights reserved.

Keyword:

filled function method

global optimization

minimization

nonlinear programming