Optimal Sliced Latin Hypercube Designs with Slices of Arbitrary Run Sizes

Sliced Latin hypercube designs (SLHDs) are widely used in computer experiments with both quantitative and qualitative factors and in batches. Optimal SLHDs achieve better space-filling property on the whole experimental region. However, most existing methods for constructing optimal SLHDs have restr...

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Bibliographic Details
Published in:Mathematics (Basel) 2019-09, Vol.7 (9), p.854
Main Authors: Zhang, Jing, Xu, Jin, Jia, Kai, Yin, Yimin, Wang, Zhengming
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
computer experiment
Design optimization
Efficiency
Experiments
Food science
Hypercubes
maximin distance criterion
Methods
optimal design
space-filling design
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Summary:Sliced Latin hypercube designs (SLHDs) are widely used in computer experiments with both quantitative and qualitative factors and in batches. Optimal SLHDs achieve better space-filling property on the whole experimental region. However, most existing methods for constructing optimal SLHDs have restriction on the run sizes. In this paper, we propose a new method for constructing SLHDs with arbitrary run sizes, and a new combined space-filling measurement describing the space-filling property for both the whole design and its slices. Furthermore, we develop general algorithms to search for the optimal SLHD with arbitrary run sizes under the proposed measurement. Examples are presented to illustrate that effectiveness of the proposed methods.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7090854