Probability-based Latin hypercube designs for slid-rectangular regions

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 t...

Full description

Saved in:
Bibliographic Details
Published in:Biometrika 2010-12, Vol.97 (4), p.961-968
Main Authors: HUNG, YING, AMEMIYA, YASUO, WU, CHIEN-FU JEFF
Format: Article
Language:English
Subjects:
Algorithms
Applications
Biology, psychology, social sciences
Combinatorics
Combinatorics. Ordered structures
Computer experiment
Data management
Data processing
Design analysis
Design optimization
Designs and configurations
Estimating techniques
Estimators
Exact sciences and technology
Experiment design
Experimental design
General topics
Heuristic
Heuristic search
Inlets
Latin hypercube design
Mathematics
Maximin
Miscellanea
Optimization algorithms
Probability and statistics
Probability distribution
Problem solving
Sampling
Sciences and techniques of general use
Sensors
Setting
Space-filling design
Standard deviation
Statistics
Studies
Unbiased estimators
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0006-3444
1464-3510
1464-3510
0006-3444
DOI:10.1093/biomet/asq051