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The impracticality of homogeneously weighted moving average and progressive mean control chart approaches
Quality and Reliability Engineering International ( IF 2.3 ) Pub Date : 2021-07-22 , DOI: 10.1002/qre.2950
Sven Knoth 1 , Víctor G. Tercero‐Gómez 2 , Marzieh Khakifirooz 2 , William H. Woodall 3
Affiliation  

There is growing literature on new versions of “memory-type” control charts, where deceptively good zero-state average run-length (ARL) performance is misleading. Using steady-state run-length analysis in combination with the conditional expected delay (CED) metric, we show that the increasingly discussed progressive mean (PM) and homogeneously weighted moving average (HWMA) control charts should not be used in practice. Previously reported performance of methods based on these two approaches is misleading, as we found that performance is good only when a process change occurs at the very start of monitoring. Traditional alternatives, such as exponentially weighted moving average (EWMA) and cumulative sum (CUSUM) charts, not only have more consistent detection behavior over a range of different change points, they can also lead to better out-of-control zero-state ARL performance when properly designed.

中文翻译:

均匀加权移动平均和渐进平均控制图方法的不切实际

关于新版本“记忆型”控制图的文献越来越多,其中看似良好的零状态平均运行长度 (ARL) 性能具有误导性。使用稳态运行长度分析与条件预期延迟 (CED) 指标相结合,我们表明不应在实践中使用越来越多讨论的渐进平均 (PM) 和均匀加权移动平均 (HWMA) 控制图。先前报告的基于这两种方法的方法的性能具有误导性,因为我们发现只有在监控一开始就发生过程更改时,性能才会良好。传统的替代方法,例如指数加权移动平均 (EWMA) 和累积总和 (CUSUM) 图表,不仅在一系列不同的变化点上具有更一致的检测行为,
更新日期:2021-07-22
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