Miscellanea: Probability-based Latin hypercube designs for slid-rectangular regions

Ying Hung, Yasuo Amemiya, Chien Fu Jeff Wu

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

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 centre thermal management study, a class of probability-based Latin hypercube designs is proposed to accommodate a specific type of irregular region. A heuristic algorithm is proposed to search efficiently for optimal designs. Unbiased estimators are proposed, their variances are given and their 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 centre.

Original languageEnglish (US)
Pages (from-to)961-968
Number of pages8
JournalBiometrika
Volume97
Issue number4
DOIs
StatePublished - Dec 2010

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Mathematics(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Agricultural and Biological Sciences(all)
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

Keywords

  • Computer experiment
  • Heuristic search
  • Latin hypercube design
  • Sampling
  • Space-filling design

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