Abstract Maximin distance Latin hypercube designs (LHDs) are frequently used in computer experiments, but their constructions are challenging. In this paper, we present some new results connecting maximin L 2 -distance optimality and near orthogonality for mirror-symmetric LHDs. We further propose a simple and effective method for constructing nearly orthogonal LHDs that can yield almost the largest minimum distance. The obtained designs with small and medium sizes are tabulated and their superior performances are illustrated via comparisons.

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关于最大距离和近正交拉丁超立方体设计

摘要 最大距离拉丁超立方体设计 (LHD) 经常用于计算机实验，但它们的构造具有挑战性。在本文中，我们提出了一些新的结果，将镜像对称 LHD 的 maximin L 2 -距离最优性和近正交性联系起来。我们进一步提出了一种简单有效的方法来构建几乎正交的 LHD，可以产生几乎最大的最小距离。将获得的中小尺寸设计进行了列表，并通过比较说明了它们的优越性能。