This article presents a single CUSUM scheme (called the GCUSUM chart) for simultaneously monitoring the time interval T and magnitude X of an event. For example, a traffic accident may be considered as an event, and the total loss in dollars in each case is the event magnitude. Since the GCUSUM...

This article compares the effectiveness and robustness of nine typical control charts for monitoring the mean of a variable, including the most effective optimal and adaptive Sequential Probability Ratio Test (SPRT) charts. The nine charts are categorized into three types (the X¯ type, CUSUM...

Purpose – The exponentially weighted moving average (EWMA) control charts are widely used in industries for monitoring small and moderate process shifts. The purpose of this paper is to develop an algorithm for the optimization design of the EWMA chart (known as MD‐EWMA chart)....

The mean shifts (or range shifts, standard deviation shifts) of a process may be classified into a set of modes (or classifications), each of which is characterized by the shift magnitude (δ) and the occurrence probability, f. The knowledge relating to the shift modes is useful to the...

Explains that the shifts of a process may be classified into a set of modes (or classifications), each of which is incurred by an assignable cause. Presents an algorithm to determine the process shift mode and estimate the run length when an out‐of‐control status is signalled by the x ‐ or...

Presents an approach to determine the optimum control limits of the x ‐bar chart for skewed process distributions. The approach takes both the control limits of the x ‐bar chart and the specification limits of x into consideration, and relates the out‐of‐control status directly with the...