Exact Results for Shewhart Control Charts With Supplementary Runs Rules

Charles W. Champ · William H. Woodall

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Advanced Statistical Process Monitoring Probability and Statistical Research Fault Detection and Control Systems

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

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1992Introduction to Statistical Quality Control 1967Quality Control and Industrial Statistics.1972An Approach to the Probability Distribution of Cusum Run Length 1988Time-Series Modeling for Statistical Process Control

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