An EWMA sign control chart with varying control limits for finite horizon processes

Abstract

Abstract The sign SN distribution‐free control charts are efficient and simple online tools to perform quality monitoring when the normality of observations cannot be assumed a priori. The possibility of designing an SN control chart whichever is the distribution of observations allows it to be implemented with success in processes with finite production horizon (FPH). Today, FPH processes are widespread in industry. Recently, Shewhart SN control charts have been investigated in literature for this kind of quality control problem. In this paper, we investigate the implementation of an exponentially weighted moving average (EWMA) SN control chart for FPH processes. The property to have varying control limits at each inspection allows the EWMA SN control chart to be very sensitive to shifts in the location. A nonhomogeneous Markov chain model is used to evaluate the statistical properties of the EWMA SN control chart with varying control limits. An illustrative example shows the implementation of the EWMA SN control chart with observations collected from a quality monitoring procedure in a company bottling soft drinks.

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