Y. Areepong Optimal Parameters of Double Moving Average Control Chart
1283 - 1286
2013
7
8
International Journal of Mathematical and Computational Sciences http://waset.org/publications/16091
http://waset.org/publications/80
World Academy of Science, Engineering and Technology
The objective of this paper is to present explicit analytical formulas for evaluating important characteristics of Double Moving Average control chart (DMA) for Poisson distribution. The most popular characteristics of a control chart are Average Run Length ( 0 ARL ) the mean of observations that are taken before a system is signaled to be outof control when it is actually still incontrol, and Average Delay time ( 1 ARL ) mean delay of true alarm times. An important property required of 0 ARL is that it should be sufficiently large when the process is incontrol to reduce a number of false alarms. On the other side, if the process is actually outofcontrol then 1 ARL should be as small as possible. In particular, the explicit analytical formulas for evaluating 0 ARL and 1 ARL 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 DMA chart with minimum of 1 ARL
International Science Index 80, 2013