Probability-Based Latin Hypercube Designs for Slid-Rectangular Regions
نویسندگان
چکیده
Existing space-filling designs are based on the assumption that the experimental region is rectangular, while in practice this assumption can be violated. Motivated by a data center thermal management study, a class of probability-based Latin hypercube designs is proposed to accommodate a specific type of irregular regions. A heuristic algorithm is proposed to efficiently search for optimal designs. Unbiased estimators are proposed. Their variances are given and the performances are compared empirically. The proposed method is applied to obtain an optimal sensor placement plan to monitor and study the thermal distribution in a data center.
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