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The effect of continuously updating control chart limits on control chart performance

机译:持续更新控制图限制对控制图性能的影响

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An open topic within statistical process monitoring is the effect on control chart properties of updating the control chart limits during the monitoring period. The challenge is to use the correct data for updating the control limits as in-control data could be incorrectly classified as out of control and therefore not used for re-estimating the parameters, and out-of-control data could be classified as in control and therefore used for re-estimating. In the present article, we study the effect of updating the Shewhart, cumulative sum, and exponentially weighted moving average control chart limits. We simulate different scenarios: the monitoring data could be in or out of control, and the practitioner may or may not be able to find out whether the process is indeed out of control when the control chart gives a signal. The results reveal that the variation in the performance of the conditional control charts decreases significantly as a result of updating the control chart limits when the updating data are in control and also when the updating data are out of control and the practitioner is able to classify correctly data samples that produce a signal. However, when a practitioner is not able to classify a signal correctly, the advisability of updating depends on the type of control chart and the level of data contamination.
机译:统计过程监视中的开放主题是对更新监控期间控制图表限制的控制图表的效果。挑战是使用正确的数据来更新控制限制,因为控制中的控制限制可能被错误地分类为失控,因此不用于重新估计参数,并且可以在控制中进行分类因此用于重新估算。在本文中,我们研究了更新削弱,累积和和指数加权移动平均控制图限制的效果。我们模拟了不同的场景:监控数据可以进入或失控,从业者可能或可能无法找到当控制图表提供信号时的过程是否确实失控。结果表明,当更新数据被控制时更新控制图表的结果,当更新数据失控时,当更新数据失控时,所以条件控制图表的性能的变化显着降低,并且从业者能够正确分类产生信号的数据样本。但是,当从业者无法正确对信号进行分类时,更新的可行性取决于控制图的类型和数据污染的级别。

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