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Globally applicable control chart for online monitoring of stability of process mean

机译:在线监控过程平均值稳定性的全球适用控制图

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摘要

The shape features of run chart patterns of the most recent m observations arising from stable and unstable processes are different. Using this fact, a new monitoring statistic is defined whose value for given m depends on the pattern parameters but not on the process parameters. A control chart for this statistic for given m, therefore, will be globally applicable to normal processes. The simulation study reveals that the proposed statistic approximately follows normal distribution. The performances of the globally applicable control chart in terms of average run lengths (ARLs) are evaluated and compared with the X chart. Both in-control ARL and out-of-control ARLs with respect to different abnormal process conditions are found to be larger than the X chart. However, the proposed concept is promising because it can eliminate the burden of designing separate control charts for different quality characteristics or processes in a manufacturing set-up.
机译:由稳定和不稳定过程引起的最近m次观测的运行图模式的形状特征是不同的。利用这一事实,定义了一个新的监视统计信息,其给定m的值取决于模式参数,而不取决于过程参数。因此,对于给定的m,此统计信息的控制图将全局适用于正常过程。仿真研究表明,建议的统计量近似遵循正态分布。评估全球适用控制图在平均行程长度(ARL)方面的性能,并将其与X图表进行比较。发现针对不同异常过程条件的受控ARL和失控ARL均大于X图表。但是,提出的概念很有希望,因为它可以消除为制造设置中的不同质量特性或过程设计单独的控制图的负担。

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