The Steady-State Performance of Cumulative Count of a Conforming Control Chart Based On Runs Rules

Abstract

Cumulative count of conforming control chart is usually used to monitor fraction nonconforming in high-yield processes. In this article, we propose m-of-m control chart based on cumulative count of conforming units for high-yield processes. The steady-state properties of the m-of-m control chart are investigated. We compare performance of the m-of-m control chart with control chart based on cumulative count of conforming units. We present Markov chain model of the m-of-m control chart to evaluate average run length, standard deviation of run length and quartiles.

Keywords:

• High-yield processes
• Average run length
• Standard deviation of run length
• Markov chain
• Steady-state and percentiles

Mathematics Subject Classification:

• Primary 60G35
• Secondary 93E10

Acknowledgment

The authors would like to thank a referee for valuable comments which significantly improved this article.