Fully-sequential space-filling design algorithms for computer experiments

Boyang Shang, Daniel W. Apley*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


Fully-sequential (i.e., with design points added one-at-a-time) space-filling designs are useful for global surrogate modeling of expensive computer experiments when the number of design points required to achieve a suitable accuracy is unknown in advance. We develop and investigate three fully-sequential space-filling (FSSF) design algorithms that are conceptually simple and computationally efficient and that achieve much better space-filling properties than alternative methods such as Sobol sequences and more complex batch-sequential methods based on sliced or nested optimal Latin hypercube designs (LHDs). Remarkably, at each design size in the sequence, our FSSF algorithms even achieve much better space-filling properties than a one-shot LHD optimized for that specific size. The algorithms we propose also scale well to very large design sizes. We provide an R package to implement the approaches.

Original languageEnglish (US)
Pages (from-to)173-196
Number of pages24
JournalJournal of Quality Technology
Issue number2
StatePublished - 2021


  • fully-sequential
  • maximin design
  • minimax design
  • space-filling

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Strategy and Management
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering


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