Optimal Parameters of Moving Average Control Chart

Abstract

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.

RETRACTED ARTICLE: Monitoring the temperature through moving average control under uncertainty environment

“…Wong et al 2 discussed the sensitivity power of the MA chart. Khoo and Wong 3 and Areepong 4 proposed double MA control charts. Mohsin et al 5 worked on a weighted MA chart using loss function.…”

“…The values of NARL when n ǫ[4,6] and w ǫ[3,5]. , 211.83] [199.03, 205.38] [297.65, 303.3] [289.36, 290.94] [369.7, 372.87] [349.46, 353.55] 0.1 [138.75, 106.01] [137.11, 102.25] [197.63, 140.91] [196.55, 137.01] [248.96, 173.35] [241.98, 171.21]…”

Translating principles of quality control to cardiovascular magnetic resonance: assessing quantitative parameters of the left ventricle in a large cohort

“…Larger ones lead to stronger noise suppression but also longer time periods until an introduced bias becomes visible. Therefore, a trade-off must be made, i.e., maximizing the time between two false positive alerts (“Average Run Length”) on one hand side and minimizing the time to a true positive alert (“Average Delay Time”) for an underlying bias on the other side 22 .…”

Moving Average Control Charts using Uncertain Information for Various Sampling Schemes

“…A diminutive concentration has been brought in to the study control charts based on MA under different lines of work. Some works on MA control chats for various lines of work can be seen in [1][2][3][4][5][6][7].…”