Cumulative Count of Conforming Chart with Variable Sampling Intervals for Markov Dependent Production Processes

The cumulative count of conforming (CCC) chart is received amount of attention for automatically manufacturing processes recently. The CCC chart with variable sampling intervals (CCC_VSI) has shown to be more efficient than the conventional CCC chart with fixed sampling interval (CCC_FSI). In all of these studies, the production process is assumed to follow an independent and identically distributed Bernoulli pattern. However, it is common that the process characteristics become dependent in realistic situations, particularly when the production is automated. In this research, a variable sampling interval procedure of the CCC chart is developed for a serially dependent process and the new scheme is more suitable for the modern manufacturing production processes.