典型文献
Construction of Multi-level Space-filling Designs via Code Mappings
文献摘要：
Space-filling designs are widely used in various fields because of their nice space-filling properties.Uniform designs are one of space-filling designs,which desires the experimental points to scatter uniformly over the experimental area.For practical need,the construction and their properties of nine-level uniform designs are discussed via two code mappings in this paper.Firstly,the algorithm of constructing nine-level uniform designs is presented from an initial three-level design by the Type-Ⅰ code mapping and tripling technique.Secondly,the algorithm of constructing nine-level uniform designs is presented from a three-level base design by the Type-Ⅱcode mapping and generalized orthogonal arrays.Moreover,relative properties are discussed based on the two code mappings.Finally,some numerical examples are given out for supporting our theoretical results.
文献关键词：
中图分类号：
作者姓名：
Hui-li XUE;Xing-you HUANG;Hong-yi LI
作者机构：
College of Mathematics and Statistics,Jishou University,Jishou 416000,China
文献出处：
引用格式：
[1]Hui-li XUE;Xing-you HUANG;Hong-yi LI-.Construction of Multi-level Space-filling Designs via Code Mappings)[J].应用数学学报（英文版）,2022(01):24-36
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AB值：
0.536218
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