X¯ chart with adaptive sample sizes

X¯ chart with adaptive sample sizes
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DOI:
10.1080/00207549308956906
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发表时间:
1993-12
影响因子:
9.2
通讯作者:
S. S. Prabhu-S.;G. Runger;J. B. Keats
S. S. Prabhu-S.;G. Runger;J. B. Keats
中科院分区:
工程技术2区
文献类型:
--
作者:
S. S. Prabhu-S.;G. Runger;J. B. Keats

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摘要标准休哈特控制图采用固定的样本容量在相等的抽样间隔。通过根据过程平均值的当前位置改变样本大小,可以减少检测脱靶条件的平均时间。比较了自适应样本容量控制图和固定样本容量控制图在过程均值变化幅度下的平均游程长度。采用自适应样本量图表后,特别是在小偏移方面,取得了重大改进。这些改进是在不增加受控平均样本量超过固定样本量方法的情况下实现的。一个快速的初始响应的建议和优点的固定样本量控制的过程中示出了两个例子从离散制造过程。
Abstract Standard Shewhart control charts employ fixed sample sizes at equal sampling intervals. By varying the sample size depending on the current location of the process mean, the mean time to detect an off-target condition can be reduced. The adaptive-sample-size control chart is compared with the fixed-sample-size control chart in terms of average run length under shifts in the process mean of variable magnitude. Significant improvements have been obtained with the adaptive-sample-size charts, particularly for small shifts. These improvements are achieved without increasing the in-control average sample size beyond that of the fixed-sample-size approach. A fast initial response is suggested and advantages of the procedure over fixed-sample-size control are illustrated with two examples from discrete manufacturing processes.