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Uniform sliced Latin hypercube designs

Author

Listed:
  • Hao Chen
  • Hengzhen Huang
  • Dennis K. J. Lin
  • Min‐Qian Liu

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. Copyright © 2016 John Wiley & Sons, Ltd.

Suggested Citation

  • Hao Chen & Hengzhen Huang & Dennis K. J. Lin & Min‐Qian Liu, 2016. "Uniform sliced Latin hypercube designs," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 32(5), pages 574-584, September.
    • Handle: RePEc:wly:apsmbi:v:32:y:2016:i:5:p:574-584
    DOI: 10.1002/asmb.2192
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    Cited by:

    1. Jing Zhang & Jin Xu & Kai Jia & Yimin Yin & Zhengming Wang, 2019. "Optimal Sliced Latin Hypercube Designs with Slices of Arbitrary Run Sizes," Mathematics, MDPI, vol. 7(9), pages 1-16, September.
    2. Vij, Akshay & Ryan, Stacey & Sampson, Spring & Harris, Susan, 2020. "Consumer preferences for on-demand transport in Australia," Transportation Research Part A: Policy and Practice, Elsevier, vol. 132(C), pages 823-839.

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