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How to choose the simulation model for computer experiments: a local approach
Authors:Thomas Mühlenstädt  Marco Gösling  Sonja Kuhnt
Institution:1. Institute for Mathematical Statistics with Applications in Industry, TU Dortmund University, , 44221 Dortmund, Germany;2. Institute of Forming Technology and Lightweight Construction, TU Dortmund University, , 44221 Dortmund, Germany
Abstract:In many scientific areas, non‐stochastic simulation models such as finite element simulations replace real experiments. A common approach is to fit a meta‐model, for example a Gaussian process model, a radial basis function interpolation, or a kernel interpolation, to computer experiments conducted with the simulation model. This article deals with situations where more than one simulation model is available for the same real experiment, with none being the best over all possible input combinations. From fitted models for a real experiment as well as for computer experiments using the different simulation models, a criterion is derived to identify the locally best one. Applying this criterion to a number of design points allows the design space to be split into areas where the individual simulation models are locally superior. An example from sheet metal forming is analyzed, where three different simulation models are available. In this application and many similar problems, the new approach provides valuable assistance with the choice of the simulation model to be used. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:computer experiment  computer code validation  Gaussian process model  kernel interpolation  sheet metal forming
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