Enhanced adaptive multivariate EWMA and CUSUM charts for process mean

Enhanced adaptive multivariate EWMA and CUSUM charts for process mean
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用于过程均值的增强型自适应多元 EWMA 和 CUSUM 图

DOI:
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发表时间:
2021
期刊:
影响因子:
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通讯作者:
S. Abbasi
S. Abbasi
中科院分区:
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文献类型:
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作者:
A. Haq;M. Khoo;Ming Ha Lee;S. Abbasi

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多变量图主要用于同时监控制造过程中的多个质量特性。在这项研究中,我们提高了最近提出的自适应多变量EWMA(AME)和加权自适应多变量EWMA(WAMC)图表的灵敏度与基于统计信息(AIB)的估计,即AIB-AME和AIB-WAMC图表,用于监测不同类型的变化,在一个多元正态分布的过程。此外,可变采样间隔(VSI)功能也被纳入拟议的图表。这些控制图的运行长度属性使用蒙特卡罗模拟计算。结果发现,AIB-AME和AIB-WAMC图表是一致的,实质上更敏感的AME和WAMC图表,分别。当这些控制图中包含VSI功能时,也会观察到相同的趋势。真实的数据集被用来演示所提出的图表的实施。
The multivariate charts are mostly used to simultaneously monitor several quality characteristics in manufacturing processes. In this study, we enhance the sensitivities of the recently proposed adaptive multivariate EWMA (AME) and weighted adaptive multivariate CUSUM (WAMC) charts with an auxiliary-information-based (AIB) estimator, namely the AIB-AME and AIB-WAMC charts, for monitoring different kinds of shifts in the mean of a multivariate normally distributed process. In addition, the variable sampling interval (VSI) feature is also incorporated into the proposed charts. The run length properties of these control charts are computed using Monte Carlo simulations. It is found that the AIB-AME and AIB-WAMC charts are uniformly and substantially more sensitive than the AME and WAMC charts, respectively. The same trend is observed when these control charts have the VSI feature incorporated into them. Real datasets are used to demonstrate the implementation of the proposed charts.