Abstract—The objective of this paper is to study Statistical Process Control (SPC) with a Moving Average control chart (MA) for monitoring the non-conforming product. The characteristic of control chart is Average Run Length (ARL) which is the average number of samples taken before an action signal is given. The ARL should be sufficiently large while the process is still in-control and the Average Delay time (AD) (mean delay of true alarm times) should be small when the process goes out-of-control. The explicit formulae of ARL and AD for MA-based are presented when observations are from binomial distribution. In particular, the explicit analytical formulas for evaluating ARL and AD be able to get a set of optimal parameters which depend on a width of the moving average (w) and width of control limit (H) for designing MA chart with minimum of AD.

Index Terms—Optimal parameters, Average Run Length, Average Delay time, Moving Average control chart, Non-conforming.

Yupaporn Areepong is with the Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand.

Cite: Yupaporn Areepong, "Optimal Parameters of Moving Average Control Chart," International Journal of Applied Physics and Mathematics  vol. 2, no. 5, pp. 372-375, 2012.