Uniformity of Asymmetric Augmented Designs

IF 0.9 4区 数学 Q3 MATHEMATICS, APPLIED
Zhi-qing Wang, Xiang-yu Fang, Zu-jun Ou
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引用次数: 0

Abstract

Follow-up experimental designs are widely applied to explore the relationship between factors and responses step by step in various fields such as science and engineering. When some additional resources or information become available after the initial design of experiment is carried out, some additional runs and/or factors may be added in the follow-up stage. In this paper, the issue of the uniform row augmented designs and column augmented designs with mixed two-, three- and four-level is investigated. The uniformity of augmented designs is discussed under the wrap-around L2-discrepancy. Some lower bounds of wrap-around L2-discrepancy for the augmented designs are obtained, which can be used to assess uniformity of augmented design. Numerical results show that augmented designs have high efficiency, which have low discrepancy and close to the proposed lower bounds.

不对称增强设计的均匀性
后续实验设计被广泛应用于科学和工程等各个领域,逐步探索因素与反应之间的关系。在最初的实验设计完成后,当获得了一些额外的资源或信息时,可以在后续阶段增加一些额外的运行和/或因素。本文研究了两级、三级和四级混合的均匀行增强设计和列增强设计问题。在环绕 L2 差异下讨论了增强设计的均匀性。得到了一些增强设计的环绕 L2 差异下限,这些下限可用于评估增强设计的均匀性。数值结果表明,增强设计具有较高的效率,其差异较小,接近提出的下限。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
70
审稿时长
3.0 months
期刊介绍: Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.
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