Abstract

Memory-type control charts are widely used in many industrial and non-industrial processes in order to detect and control quickly small and moderate shifts of the process mean and/or variability. Except for the well-known exponentially weighted moving average (EWMA) and cumulative sum (CUSUM) schemes, the moving average (MA) scheme with span w is also a time-weighted control chart, which is based on the average of w most current observations. Many modifications of the above control charts have been introduced in the literature to enhance their detection ability, especially in small shifts. The goal of this chapter is to present an extension of the MA chart by combining two MA charts [referred as double moving average (DMA) control chart] for monitoring shifts not only in the mean or variability of a normal process, but also in the Poisson parameter of attribute data. A comparison study with other existing control charts indicates that the DMA chart is a good alternative to MA, CUSUM and EWMA charts in specific ranges of shifts. Furthermore, we provide three examples with real data to implement the application of the DMA control chart.

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