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Exact Results for Shewhart Control Charts with Supplementary Runs Rules

Charles W. Champ and William H. Woodall
Technometrics
Vol. 29, No. 4 (Nov., 1987), pp. 393-399
DOI: 10.2307/1269449
Stable URL: http://www.jstor.org/stable/1269449
Page Count: 7
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Exact Results for Shewhart Control Charts with Supplementary Runs Rules
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Abstract

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 X̄ chart with supplementary runs rules, the basic Shewhart X̄ chart, and the cumulative sum (CUSUM) chart.

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