Abstract

Control charts are effective tools for signal detection in both manufacturing processes and service processes. Much of the data in service industries comes from a process having non-normal or unknown distributions. The commonly used Shewhart variable control charts, which depend heavily on the normality assumption, are not appropriately used here. In this paper, we propose a new EWMA-V Chart and EWMA-M Chart based on two simple independent statistics to monitor process mean and variance shifts simultaneously. Further, we explore the sampling properties of the new monitoring statistics, and calculate the average run lengths when using both of the proposed EWMA Charts. A numerical example involving non-normal service times from the service system of a bank branch in Taiwan is used to illustrate the applications of the new EWMA-M and EWMA-V Charts, and to compare them with the existing mean and variance (or standard deviation) charts. The proposed new EWMA-M and EWMA-V Charts show superior detection performance compared to the existing mean and variance charts. The new EWMA-M and EWMA-V Charts are thus recommended.

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