A New Filled Function Method with One Parameter for Global Optimization
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-12
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The filled function method is an effective approach to find the global minimizer of multidimensional multimodal functions.
The conventional filled functions are numerically unstable due to exponential or logarithmic term and sensitive to parameters.
In this paper, a new filled function with only one parameter is proposed, which is continuously differentiable and proved to satisfy all conditions of the filled function definition.
Moreover, this filled function is not sensitive to parameter, and the overflow can not happen for this function.
Based on these, a new filled function method is proposed, and it is numerically stable to the initial point and the parameter variable.
The computer simulations indicate that the proposed filled function method is efficient and effective.
American Psychological Association (APA)
Wei, Fei& Wang, Yuping. 2013. A New Filled Function Method with One Parameter for Global Optimization. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1009749
Modern Language Association (MLA)
Wei, Fei& Wang, Yuping. A New Filled Function Method with One Parameter for Global Optimization. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1009749
American Medical Association (AMA)
Wei, Fei& Wang, Yuping. A New Filled Function Method with One Parameter for Global Optimization. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1009749
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009749