Global Optimization Method Based on Incremental Radial Basis Functions

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Global optimization techniques have been used extensively due to their capability in handling complex engineering problems. Metamodel becomes effective method to enhance global optimization. In this paper, we propose a new global optimization method base on incremental metamodel. At each sampling step, we adopt inherited Latin HyperCube design to sample points step by step, and propose a new incremental metamodel to update the cofficient matrix gradually. Experiments proved that the global optimization method has highest efficiency and can be finding global minimum fastly.

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3950-3954

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October 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] R. Horst, and P.M. Pardalos: Handbook of Global Optimization, Kluwer, Dordrecht (1994).

Google Scholar

[2] A. Törn, and A. Žilinskas: Global Optimization, Springer, Berlin (1987).

Google Scholar

[3] AdelYounis and Zuomin Dong: Trends, features, and tests of common and recently introduced global optimization methodsEngineering Optimization, Vol. 42, No. 8 (2010), pp.691-718.

DOI: 10.1080/03052150903386674

Google Scholar

[4] G. Gary Wang, and S. Shan: Reviewing of Metamodeling Techniques in Support of Engineering Design Optimization, J. Mech. Des, Vol. 129 (2007), pp.370-380.

Google Scholar

[5] M.D. Buhmann: Radial Basis Functions: Theory and Implementations, Cambridge University Press, Cambridge (2003).

Google Scholar

[6] Z. Wu: Compactly supported positive definite radial function, Adv. Comput. Math. 4 (1995), p.283–292.

DOI: 10.1007/bf03177517

Google Scholar

[7] W.J. Duncan: Some devices for the solution of large sets of simultaneous linear equations, Philos. Mag. Ser. 35(7) (1944), pp.660-670.

Google Scholar

[8] M. D. McKay, R.J. Bechman and W. J. Conover: A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code, Technometrics, 21(2), May (1979), p.239–245.

DOI: 10.1080/00401706.1979.10489755

Google Scholar

[9] G. Gary Wang: Adaptive Response Surface Method Using Inherited Latin Hypercube Design Points, , J. Mech. Des, Vol. 129 (2003), pp.210-220.

DOI: 10.1115/1.1561044

Google Scholar

[10] D. Wilde: Globally Optimal Design, Wiley, NewYork (1978).

Google Scholar

[11] J. F. Fu, R.G. Fenton, and W. L. Cleghorn: A Mixed Integer Discrete-Continuous Programming Method and its Application to Engineering Design Optimization, Eng. Optimiz, 17 (3) (1991), p.263–280.

DOI: 10.1080/03052159108941075

Google Scholar

[12] Behnam Sharif, G. Gary Wang and Tarek Y. EIMekkawy: Mode Pursuing Sampling Method for Discrete Variable Optimization on Expensive Black-Box Function, Journal of Mechanical Design, Vol. 130 (2008), pp.1-11.

DOI: 10.1115/1.2803251

Google Scholar