一种新的灵活的计算机实验设计构造方法
A new and flexible method for constructing designs for computer experiments
摘要：
我们开发了一种新的方法来构建“好”的计算机实验设计。该方法的力量来自于其基本结构，即使用小设计构建大设计。我们专门的正交拉丁超立方体的建设方法，并取得了许多成果。在游程方面，完全解决了正交拉丁超立方体的存在性问题。我们还提出了一个明确的结果，显示如何大正交拉丁超立方体可以使用小正交拉丁超立方体。我们的方法的另一个吸引人的特点是，它可以很容易地适应构造其他设计，我们研究如何利用该方法来构造近正交和级联拉丁超立方体。
英文摘要：
We develop a new method for constructing "good" designs for computer experiments. The method derives its power from its basic structure that builds large designs using small designs. We specialize the method for the construction of orthogonal Latin hypercubes and obtain many results along the way. In terms of run sizes, the existence problem of orthogonal Latin hypercubes is completely solved. We also present an explicit result showing how large orthogonal Latin hypercubes can be constructed using small orthogonal Latin hypercubes. Another appealing feature of our method is that it can easily be adapted to construct other designs; we examine how to make use of the method to construct nearly orthogonal and cascading Latin hypercubes.
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