Uniform design: Theory and application

Uniform design: Theory and application
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DOI:
10.2307/1271079
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发表时间:
2000-08-01
期刊:
影响因子:
2.5
通讯作者:
Zhang, Y
Zhang, Y
中科院分区:
工程技术3区
文献类型:
--
作者:
Fang, KT;Lin, DKJ;Zhang, Y

文献摘要

被引文献

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均匀设计(UD)寻求均匀分布在域上的设计点。自1980年以来一直很受欢迎。第一部分介绍了UD的基本思想和构造方法,并给出了实例说明。它表明,UD的具有许多理想的性能,为各种各样的应用。此外,我们使用全局优化算法,阈值接受,以产生UD的低差异。研究了均匀性与正交性之间的关系。事实证明,这里获得的大多数UD确实是正交的。
A uniform design (UD) seeks design points that are uniformly scattered on the domain. It has been popular since 1980. A survey of UD is given in the first portion: The fundamental idea and construction method are presented and discussed and examples are given for illustration. It is shown that UD's have many desirable properties for a wide variety of applications. Furthermore, we use the global optimization algorithm, threshold accepting, to generate UD's with low discrepancy. The relationship between uniformity and orthogonality is investigated. It turns out that most UD's obtained here are indeed orthogonal.