Uniform sliced Latin hypercube designs

Uniform sliced Latin hypercube designs
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统一切片拉丁超立方体设计

DOI:
10.1002/asmb.2192
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发表时间:
2016-09
影响因子:
1.4
通讯作者:
Liu Min-Qian
Liu Min-Qian
中科院分区:
数学4区
文献类型:
--
作者:
Chen Hao;Huang Hengzhen;Lin Dennis K. J.;Liu Min-Qian

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切片拉丁超立方体设计SLHD在每个维度上都实现了最大分层,但无论是完整设计还是切片都不能保证实验区域上的均匀性。虽然整个SLHD的均匀性和它的切片的均匀性是相关的,但它们之间没有一一对应关系。在本文中,我们提出了一种新的均匀性措施SLHD相结合的两种均匀性。基于这样的组合均匀性度量,所获得的均匀SLHD不仅对于整个设计而且对于它们的切片具有均匀分布在实验区域上的设计点。数值模拟结果表明,所提出的均匀SLHD的计算机实验与定量和定性因素的有效性。版权所有© 2016约翰威利父子有限公司.
Sliced Latin hypercube designs SLHDs achieve maximum stratification in each dimension, but neither the full designs nor their slices can guarantee a good uniformity over the experimental region. Although the uniformity of the full SLHD and that of its slices are related, there is no one-to-one correspondence between them. In this paper, we propose a new uniformity measure for SLHDs by combining the two kinds of uniformity. Based on such a combined uniformity measure, the obtained uniform SLHDs have the design points evenly spread over the experimental region not only for the whole designs but also for their slices. Numerical simulation shows the effectiveness of the proposed uniform SLHDs for computer experiments with both quantitative and qualitative factors. Copyright © 2016 John Wiley & Sons, Ltd.
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