Steady-State Run Length Analysis of a Shewhart Quality Control Chart With Supplementary Runs Rules
Document Type
Article
Publication Date
1992
Publication Title
Communications in Statistics: Theory and Methods
DOI
10.1080/03610929208830813
ISSN
1532-415X
Abstract
Champ and Woodall (1987) introduced a technique for analyzing the run length distribution of a Shewhart control chart with supplementary runs rules. For charting procedures that can be represented as a Markov chain, Crosier (1986) suggested a technique for obtaining the cyclic steady-state distribution. We combine these two techniques to analyze the cyclic steady-state run length distribution of a Shewhart quality control chart supplemented with runs rules. Steady-state average run lengths are calculated and compared with those of the exponentially weighted moving average and cumulative sum charts. Some closed form expressions are given.
Recommended Citation
Champ, Charles W..
1992.
"Steady-State Run Length Analysis of a Shewhart Quality Control Chart With Supplementary Runs Rules."
Communications in Statistics: Theory and Methods, 21 (3): 765-777.
doi: 10.1080/03610929208830813
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/488
