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The Scientific World Journal
Volume 2014 (2014), Article ID 192862, 17 pages
http://dx.doi.org/10.1155/2014/192862
Research Article

A Sequential Optimization Sampling Method for Metamodels with Radial Basis Functions

School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, China

Received 31 March 2014; Revised 26 May 2014; Accepted 23 June 2014; Published 15 July 2014

Academic Editor: Huamin Zhou

Copyright © 2014 Guang Pan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Metamodels have been widely used in engineering design to facilitate analysis and optimization of complex systems that involve computationally expensive simulation programs. The accuracy of metamodels is strongly affected by the sampling methods. In this paper, a new sequential optimization sampling method is proposed. Based on the new sampling method, metamodels can be constructed repeatedly through the addition of sampling points, namely, extrema points of metamodels and minimum points of density function. Afterwards, the more accurate metamodels would be constructed by the procedure above. The validity and effectiveness of proposed sampling method are examined by studying typical numerical examples.