Abstract
The utilization of multiple fidelity simulators for the design and analysis of computer experiments has received increased attention in recent years. In this paper, we study the contour estimation problem for complex systems by considering two fidelity simulators. Our goal is to design a methodology of choosing the best suited simulator and input location for each simulation trial so that the overall estimation of the desired contour can be as good as possible under limited simulation resources. The proposed methodology is sequential and based on the construction of Gaussian process surrogate for the output measure of interest. We illustrate the methodology on a canonical queueing system and evaluate its efficiency via a simulation study.
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Acknowledgments
The authors are grateful to the anonymous reviewers for their suggestions and comments. This work is partially supported by the National Science Council under grant NSC 98-2118-M-390-002-(Chen) and 100-2628-M-002-011-MY4 (Wang), Taida Institute for Mathematical Sciences, National Center for Theoretical Sciences (Taipei Office) and the Mathematics Division of the National Center for Theoretical Sciences (South) in Taiwan.
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Chen, RB., Hung, YC., Wang, W. et al. Contour estimation via two fidelity computer simulators under limited resources. Comput Stat 28, 1813–1834 (2013). https://doi.org/10.1007/s00180-012-0380-7
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DOI: https://doi.org/10.1007/s00180-012-0380-7