Multi-Point Sequential Sampling Method for Complex Engineering Optimization Problems


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Metamodeling techniques are commonly used to replace expensive computer simulations in complex engineering optimization problems. Due to the discrepancy between the simulation model and metamodel, the prediction error in predicted responses may lead to a wrong solution. To balance the predicted mean and prediction error, the efficient global optimization (EGO) algorithm using Kriging predictor can be used to explore the design space and find next sample to adaptively improve the fitting accuracy of the predicted responses. However in conventional EGO algorithm, adding one point per iteration may be not efficient for the complex engineering problems. In this paper, a new multi-point sequential sampling method is proposed to include multiple points per iteration. To validate the benefits of the proposed multi-point sequential sampling method, a mathematical example and a highly-nonlinear automotive crashworthiness design example are illustrated. Results show that the proposed method can efficiently mitigate the prediction error and find the global optimum using fewer iterations.



Edited by:

Guofu Li and Valery Ya. Shchukin




S. L. Zhang et al., "Multi-Point Sequential Sampling Method for Complex Engineering Optimization Problems", Applied Mechanics and Materials, Vols. 201-202, pp. 78-82, 2012

Online since:

October 2012




[1] G.G. Wang and S. Shan: J. Mech. Design, Vol. 129 (2007) No. 4, pp.370-380.

[2] R. Jin, W. Chen and T.W. Simpson: Struct. Multidiscip. O., Vol. 23 (2001) No. 1, pp.1-13.

[3] B.J. Bichon, M.S. Eldred, etc.: AIAA J., Vol. 46 (2008) No. 10, pp.2459-2468.

[4] D.R. Jones, M. Schonlau and W.J. Welch: J. Global Optim., Vol. 13 (1998) No. 4, pp.455-462.

[5] M.J. Sasena: Flexibility and Efficiency Enhancements for Constrained Global Design Optimization with Kriging approximations (Ph.D., University of Michigan, USA, 2002), pp.60-90.

[6] D. Huang, T.T. Allen, etc.: J. Global Optim., Vol. 34 (2006) No. 3, pp.441-466.

[7] F.A.C. Viana, and R.T. Haftka: 13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference (Fort Worth, USA, September 13-15, 2010), pp. AIAA 2010-9392.

DOI: 10.2514/6.2010-9392

[8] C.J. Turner, M.I. Campbell and R.H. Crawford: ASME 2003 Design Engineering Technical Conferences and Computers and Information in Engineering Conference (Chicago, Illinois, USA, September 2–6, 2003), Paper no. DETC2003/CIE-48230, pp.555-564.

[9] M. Schonlau, W.J. Welch and D.R. Jones: New Development and Applications in Experimental Design (Institute of Mathematical Statistics, 1998).

[10] D. Ginsbourger, R.L. Riche and L. Carraro: HAL, Version 1-4 (2008), hal-00260579.

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