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Optimal Noncollapsing Space-Filling Designs for Irregular Experimental Regions
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Optimal Noncollapsing Space-Filling Designs for Irregular Experimental Regions

Ray-Bing Chen, Chi-Hao Li, Ying HungWeichung Wang
Journal of Computational and Graphical Statistics, 卷.28(1), 頁碼.74-91
01/2019

摘要

Computer experiment Discrete particle swarm optimization Space-filling Statistics and Probability Discrete Mathematics and Combinatorics Statistics Probability and Uncertainty
Space-filling and noncollapsing are two important properties in designing computer experiments. We study how the noncollapsing, space-filling designs for irregular experimental regions can be generated efficiently by the proposed metaheuristic methods. We solve this optimal design problem using variants of the discrete particle swarm optimization (DPSO) approaches. Numerical results, including an application in data center thermal management, are used to illustrate the performances of the proposed algorithms. Based on these numerical results, we assert that the most efficient approach is to reformulate the target optimal design problem as a constrained optimization problem and then use a modified DPSO to solve the constrained optimization problem.

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