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Improving the performance of the zone control chart
Authors:Robert B Davis  Chun Jin  Ying-Yueh Guo
Institution:1. Mathematics and Statistics , Miami University , Hamiton, OH, 45011;2. Dept. of Mathematics , Univ. of New Orleans , New Orleans, LA, 70148;3. Baylor School of Dentistry , Dallas, TX, 7546
Abstract:A general model for the zone control chart is presented. Using this model, it is shown that there are score vectors for zone control charts which result in superior average run length performance in comparison to Shewhart charts with common runs rules.

A fast initial response (FIR) feature for the zone control chart is also proposed. Average run lengths of the zone control chart with this feature are calculated. It is shown that the FIR feature improves zone control chart performance by providing significantly earlier signals when the process is out of control.
Keywords:average run length  fast initial response  Shewhart chart  statistical process control
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