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Maximin L1-distance Range-fixed Level-augmented designs

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  • Gao, Yanping
  • Yi, Siyu
  • Zhou, Yongdao

Abstract

We discuss two cases of range-fixed level-augmented designs (RFLADs) under the maximin L1-distance criterion. The upper bounds of the L1-distance and construction methods for RFLADs are given. We also study the column-orthogonality of the constructed RFLADs.

Suggested Citation

  • Gao, Yanping & Yi, Siyu & Zhou, Yongdao, 2022. "Maximin L1-distance Range-fixed Level-augmented designs," Statistics & Probability Letters, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:stapro:v:186:y:2022:i:c:s0167715222000621
    DOI: 10.1016/j.spl.2022.109470
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    References listed on IDEAS

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    1. Grosso, A. & Jamali, A.R.M.J.U. & Locatelli, M., 2009. "Finding maximin latin hypercube designs by Iterated Local Search heuristics," European Journal of Operational Research, Elsevier, vol. 197(2), pages 541-547, September.
    2. Kai-Tai Fang & Dennis K. J. Lin & Min-Qian Liu, 2003. "Optimal mixed-level supersaturated design," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 58(3), pages 279-291, December.
    3. Liuqing Yang & Yongdao Zhou & Min-Qian Liu, 2021. "Maximin distance designs based on densest packings," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(5), pages 615-634, July.
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