Sample based side sensitive group runs control chart to detect shifts in the process mean

Abstract

In this article, we propose side sensitive group runs based univariate control chart using sample based ‘transition probability matrix’ (tpm) namely ‘Sample based Side Sensitive Group Runs’ (S-SSGR) control chart. The zero state ATS performance of the S-SSGR chart and the CRL based ‘Side Sensitive Group Runs’ (SSGR) chart is exactly same but better than the ‘Side Sensitive Synthetic’ (SSS) chart and the ‘Group Runs’ (GR) Chart. Also the steady state ATS performance of the S-SSGR chart is better as compared to the GR and the SSGR charts.

KEYWORDS:

• Synthetic control chart
• Side sensitive group runs control chart
• Transition probability matrix
• Zero state
• Steady state
• Conforming run length