Variable Sampling Interval Cumulative Count of Conforming Chart with Runs Rules

Abstract

The cumulative count of conforming (CCC) chart is effective in detecting very low fraction of nonconforming items for high yield manufacturing processes. In this study, a combination of runs rules and variable sampling interval feature is proposed to a lower sided CCC chart by inspecting the items one by one. The performance measures of the control chart are derived by using the Markov chain approach. The numerical comparisons show that the performance of the CCC chart can be improved by adding the runs rules and varying the sampling interval.

Keywords:

• Cumulative count of conforming chart
• Markov chain
• Runs rules
• Variable sampling interval

Mathematics Subject Classification:

• Primary 62P30
• Secondary 60J20