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A single CUSUM chart for monitoring time interval and magnitude of critical events

机译:单个CUSUM图表,用于监视关键事件的时间间隔和严重程度

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This article presents a single CUSUM scheme (called the GCUSUM chart) for simultaneously monitoring the time interval T and magnitude X of an event. Since the GCUSUM chart is developed based on a synthetic statistic G which is a function of both T and X, this new chart is able to make use of the information about the event frequency, as well as the information about the event magnitude. Moreover, the detection power of the GCUSUM chart can be allocated in an optimal manner between that against T shifts and against X shifts, and between those against small shifts and against large shifts. The performance studies show that the GCUSUM chart is more effective than all other charts in the current literature for detecting the out-of-control status of an event. This chart is also easier to be designed and implemented than other CUSUM charts for monitoring both T and X. The GCUSUM chart has the potential to be applied to many different areas, especially to the non-manufacturing and service sectors, such as supply chain management, homeland security, office administration and health care industry.
机译:本文介绍了一种用于同时监视事件的时间间隔T和大小X的单一CUSUM方案(称为GCUSUM图表)。由于GCUSUM图表是基于综合统计量G开发的,该综合统计量G是T和X的函数,因此该新图表能够利用有关事件发生频率的信息以及有关事件幅度的信息。此外,可以以最佳方式在针对T班次和针对X班次的检测力之间以及针对小班次和针对大班次的检测力之间分配GCUSUM图表的检测力。性能研究表明,GCUSUM图表在检测事件的失控状态方面比当前文献中的所有其他图表更有效。该图表也比其他用于监视T和X的CUSUM图表更易于设计和实现。GCUSUM图表有可能应用于许多不同领域,尤其是非制造和服务领域,例如供应链管理。 ,国土安全,办公室管理和医疗保健行业。

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