EWMA control charts for monitoring high-yield processes based on non-transformed observations
EWMA control charts for monitoring high-yield processes based on non-transformed observations
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DOI：
10.1080/00207540601182252
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发表时间：
2008-01
影响因子：
9.2
通讯作者：
A. Yeh;Richard N. McGrath;M. Sembower;Qianxiang Shen
中科院分区：
文献类型：
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作者：
A. Yeh;Richard N. McGrath;M. Sembower;Qianxiang Shen
我们提出并研究指数加权移动平均（EWMA）控制图用于监控高产过程。EWMA控制图是基于非转换几何、二项式和伯努利计数开发的。根据检测到第一个失控信号之前采样的平均项目数对建议的图表进行评估。通过选择小的平滑常数，建议的EWMA控制图在许多情况下优于最近开发的EWMA控制图[Chang，T.C.和Gan，F.F.，高产量过程的累积和图表。中央集权主义者罪恶2001，11，791-805]，其被认为是现有文献中用于监测小至0.0001的不合格分数的最有效的控制制图机制。许多模拟包括性能比较。最后通过一个实例说明了EWMA控制图的适用性。
We propose and study exponentially weighted moving average (EWMA) control charts for monitoring high-yield processes. The EWMA control charts are developed based on non-transformed geometric, binomial and Bernoulli counts. The proposed charts are evaluated based on the average number of items sampled before the first out-of-control signal is detected. By selecting small smoothing constants, the proposed EWMA control charts outperform in numerous cases the recently developed CUSUM control charts [Chang, T.C. and Gan, F.F., Cumulative sum charts for high yield processes. Statist. Sin., 2001, 11, 791–805], which are considered the most efficient control charting mechanisms in the existing literature for monitoring fraction non-conforming as small as 0.0001. Numerous simulations are included for performance comparisons. An example is also given to demonstrate the applicability of the proposed EWMA control charts.