Some classes of orthogonal Latin hypercube designs
Some classes of orthogonal Latin hypercube designs
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DOI：
10.5705/ss.2012.142
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发表时间：
2013
影响因子：
1.4
通讯作者：
S. Georgiou;Ifigenia Efthimiou
中科院分区：
文献类型：
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作者：
S. Georgiou;Ifigenia Efthimiou
拉丁超立方设计（LHD）广泛用于设计计算机实验。已经提出了多种方法来构建主效应之间具有正交性的 LHD。在本文中，我们提出了一种构建具有灵活游程大小的 12、16、20 和 24 个因子的正交 LHD（OLHD）的新方法。此外，利用本文提出的新设计，我们为 OLHD 提供了新的乘法方法和进一步的构造。这些结构导致了具有许多因素的新的无限 OLHD 家族。例如，我们表明，当存在 OLHD(n;m) 时，也存在具有（运行；因子）2 f(24n; 12m)、(32n; 16m)、(40n; 20m)、(48n; 24m)、(24n+1; 12m)、(32n+1; 16m)、(40n+1; 20m)，(48n+1；24m)g。 OLHD 的构造类是新的，并且是本文首次给出的。
Latin hypercube designs (LHDs) are popularly used in designing computer experiments. A number of methods have been proposed to construct LHDs with orthogonality among the main-effects. In this paper, we propose a new method for constructing orthogonal LHDs (OLHDs) with 12, 16, 20 and 24 factors having a flexible run size. Moreover, using the new designs presented in this paper, we provide new multiplication methods and further constructions for OLHDs. These constructions lead to new infinite families of OLHD with many factors. For example, we show that when an OLHD(n;m) exists then there also exist OLHDs with (runs; factors) 2 f(24n; 12m), (32n; 16m), (40n; 20m), (48n; 24m), (24n+1; 12m), (32n+1; 16m), (40n+1; 20m), (48n+1; 24m)g. The constructed classes of OLHD are new and are given in this paper for the first time.