Abstract

The objective of this paper is to show an explicit formula for Double Moving Average chart of Zero Inflated Binomial process (DMAZIB). The ARL is a traditional measurement of control chart’s performance, the expected number of observations taken from an in-control process until the control chart falsely signals out-of-control is denoted by 0 ARL . An 0 ARL will be regarded as acceptable if it is large enough to keep the level of false alarms at an acceptable level. A second common characteristic is the expected number of observations taken from an out-of-control process until the control chart signals that the process is out-of-control is denoted by 1 ARL . Especially, the explicit analytical formulas for evaluating 0 ARL and 1 ARL be able to get a set of optimal parameters which depend on width of double moving average ( w ) and width of control limit ( k ) for designing DMAZIB chart with minimum of 1 ARL .