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A control scheme for monitoring the frequency and magnitude of an event

机译:用于监视事件的频率和大小的控制方案

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摘要

While many control charts have been developed for monitoring the time interval (t) between the occurrences of an event, many other charts are employed to examine the magnitude (x) of the event. These two types of control charts have usually been investigated and applied separately with limited syntheses in conventional statistical process control (SPC) methods. This article presents an SPC method for simultaneously monitoring the time interval t and magnitude x. It, essentially, combines a t chart and an x chart, and is therefore referred to as a t&x chart. The new chart is more effective than an individual t chart or individual x chart for detecting the out-of-control status of the event, in particular for detecting downward shifts (sparse occurrence and/or small magnitude). More profound is that, compared with an individual t or x chart, the detection effectiveness of the t &x chart is more invariable against" different types of shifts, i.e. t shift, x shift and joint shift in t and x. The t&x chart has demonstrated its potential not only for manufacturing systems, but also for non-manufacturing sectors such as supply chain management, office administration and health care industry.
机译:尽管已经开发了许多控制图来监视事件发生之间的时间间隔(t),但仍采用许多其他图来检查事件的大小(x)。通常,已经对这两种类型的控制图进行了研究,并在常规统计过程控制(SPC)方法中以有限的合成方法单独应用了它们。本文提出了一种同时监视时间间隔t和幅度x的SPC方法。本质上,它组合了t图表和x图表,因此被称为t&x图表。新图表比检测单个事件的t图表或单个x图表更有效,尤其是在检测向下移动(稀疏发生和/或小幅度变化)时,它可以检测事件的失控状态。更深刻的是,与单个t或x图表相比,t&x图表的检测有效性对于“不同类型的移位”(即t移位,x移位以及t和x中的联合移位)具有更大的不变性。展示了其不仅在制造系统上的潜力,而且还展示了其在非制造领域的潜力,例如供应链管理,办公室管理和医疗保健行业。

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