Uniform sliced Latin hypercube designs

Hao Chen, Hengzhen Huang, Dennis K.J. Lin, Min Qian Liu

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

Sliced Latin hypercube designs (SLHDs) achieve maximum stratification in each dimension, but neither the full designs nor their slices can guarantee a good uniformity over the experimental region. Although the uniformity of the full SLHD and that of its slices are related, there is no one-to-one correspondence between them. In this paper, we propose a new uniformity measure for SLHDs by combining the two kinds of uniformity. Based on such a combined uniformity measure, the obtained uniform SLHDs have the design points evenly spread over the experimental region not only for the whole designs but also for their slices. Numerical simulation shows the effectiveness of the proposed uniform SLHDs for computer experiments with both quantitative and qualitative factors.

Original languageEnglish (US)
Pages (from-to)574-584
Number of pages11
JournalApplied Stochastic Models in Business and Industry
Volume32
Issue number5
DOIs
StatePublished - Sep 1 2016

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Business, Management and Accounting(all)
  • Management Science and Operations Research

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