文章基本信息

标题：An Enhanced Algorithm for Constructing Optimal Space-Filling Designs using Hadamard Matrices of Orders 4λ and 8λ
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作者：Kazeem A. Osuolale ; Babatunde L. Adeleke ; Waheed B. Yahya 等
期刊名称：Annals. Computer Science Series
印刷版ISSN：1583-7165
电子版ISSN：2065-7471
出版年度：2017
卷号：15
期号：2
页码：9-17
出版社：Mirton Publishing House, Timisoara
摘要：Orthogonal array Latin hypercube designs have become popular in practice among strategies used for developing computer experiments. Hadamard matrices have been used to construct orthogonal arrays based on the connection between Hadamard matrices and orthogonal arrays (OAs). A Hadamard matrix is a square matrix of +1 and -1 whose rows are orthogonal. This study aimed at proposing an enhanced algorithm that employed the maximin criterion in the k-Nearest Neighbour with Euclidean distance for constructing optimal space-filling design called Orthogonal Array Latin Hypercube Design (OALHD). Orthogonal arrays (OAs) were constructed from Hadamard matrices of orders 4λ and 8λ which are subsequently used to construct the desired OALHD. The Orthogonal array (n, k) Latin hypercube designs were constructed at parameter values of OA (n, k, s, t, λ) = (8, 7, 2, 2, 2) and (16, 8, 2, 3, 2). The OA (8, 7) LHD and OA (16,8) LHD constructed have better space-filling properties and they achieve uniformity in each dimension. MATLAB 2015 computer package was used for the development of the algorithm that constructs the OALHDs
关键词：Computer experiments; Hadamard matrices; Latin hypercube designs; Orthogonal array; Space-filling designs.