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This article presents a single Statistical Process Control (SPC) chart for simultaneously monitoring the time interval T and magnitude X of an event. The new chart is called a G chart as it deals with a synthetic statistic G. The G chart makes use of the information about the event frequency as well as the information about the event magnitude. Moreover, its detection power can be allocated in an...
This article develops an algorithm for the optimization design of Exponentially Weighted Moving Average (EWMA) control charts. The design algorithm adjusts the sample size, sampling interval and control limits of the chart in an optimal manner in order to minimize the mean number of defective units (denoted as MD) produced per out-of-control case. The optimal chart is therefore named as the MD-EWMA...
This article studies a unique feature of the binomial CUSUM chart in which the difference (dt - d0) is replaced by (dt - d0)2 in the formulation of the cumulative sum Ct (where dt and d0 are the actual and in-control numbers of nonconforming units, respectively, in one sample). The results of the performance studies reveal that this new feature is able to increase the detection effectiveness when...
This paper proposes using a Markovian-type mean estimating procedure in the conventional cumulative sum (CUSUM) control scheme to update its reference value in an adaptive way. This generalizes a class of Markovian adaptive CUSUM (ACUSUM) schemes to achieve the aim of providing an overall good performance over a range of future expected but unknown mean shifts. A comparison of run length performance...
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