Kriging metamodeling in simulation: A review

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Kriging metamodeling in simulation: A review

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Kleijnen, Jack P.C.

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Jack P.C. Kleijnen

Abstract

This article reviews Kriging (also called spatial correlation modeling). It presents the basic Kriging assumptions and formulas--contrasting Kriging and classic linear regression metamodels. Furthermore, it extends Kriging to random simulation, and discusses bootstrapping to estimate the variance of the Kriging predictor. Besides classic one-shot statistical designs such as Latin Hypercube Sampling, it reviews sequentialized and customized designs for sensitivity analysis and optimization. It ends with topics for future research.

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Publisher Info
Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 192 (2009)
Issue (Month): 3 (February)
Pages: 707-716
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Handle: RePEc:eee:ejores:v:192:y:2009:i:3:p:707-716

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Paper
- Kleijnen, J.P.C., 2007. "Kriging Metamodeling in Simulation: A Review," Discussion Paper 2007-13, Tilburg University, Center for Economic Research. [Downloadable!]

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

Kleijnen, Jack P. C. & van Beers, Wim C. M., 2005. "Robustness of Kriging when interpolating in random simulation with heterogeneous variances: Some experiments," European Journal of Operational Research, Elsevier, vol. 165(3), pages 826-834, September. [Downloadable!] (restricted)
Kleijnen, J.P.C. & Beers, W.C.M. van, 2003. "Application-driven sequential designs for simulation experiments: kriging metamodeling," Discussion Paper 33, Tilburg University, Center for Economic Research. [Downloadable!]

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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

Kleijnen, J.P.C. & Beers, W.C.M. van & Nieuwenhuyse, I. van, 2008. "Constrained Optimization in Simulation: A Novel Approach," Discussion Paper 2008-95, Tilburg University, Center for Economic Research. [Downloadable!]
Bettonvil, B.W.M. & Castillo, E. del & Kleijnen, J.P.C., 2007. "Statistical Testing of Optimality Conditions in Multiresponse Simulation-based Optimization (Revision of 2005-81)," Discussion Paper 2007-45, Tilburg University, Center for Economic Research. [Downloadable!]

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