Champ, Charles W.; Woodall, William H. Exact results for Shewhart control charts with supplementary runs rules. (English) Zbl 0633.62100 Technometrics 29, 393-399 (1987). This article gives a simple and efficient method, using Markov chains, to obtain the exact run-length properties of Shewhart control charts with supplementary runs rules. Average run-length comparisons are made among the Shewhart \(\bar X\) chart with supplementary runs rules, the basic Shewhart \(\bar X\) chart, and the cumulative sum (CUSUM) chart. Cited in 1 ReviewCited in 63 Documents MSC: 62P30 Applications of statistics in engineering and industry; control charts Keywords:tables; Markov chains; exact run-length properties of Shewhart control charts; Average run-length comparisons; cumulative sum (CUSUM) chart PDFBibTeX XMLCite \textit{C. W. Champ} and \textit{W. H. Woodall}, Technometrics 29, 393--399 (1987; Zbl 0633.62100) Full Text: DOI