Technometrics · 1987 · 339 citations · 11 references
ManagementDecision SciencesMarkov Decision ProcessesProcess ControlChart DesignControl ChartsMarkov ChainsStatistical GraphicsStatistical Process ControlControl Chart AnalysisControl ChartingFinite Markov ChainsProcess Control ChartsRun Length AnalysisRun RulesShewhart Control Charts
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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Introduction to Statistical Quality Control
Roger Sauter, Douglas C. Montgomery · Technometrics · 1992 · 7.9K citations
An approach to the probability distribution of cusum run length
D. Brook, D. A. Evans · Biometrika · 1972 · 882 citations