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The Run Sum R Chart with Fast Initial Response
Authors:Cesar Acosta-Mejia  Joseph J. Pignatiello Jr.
Affiliation:1. Industrial Engineering, ITAM , Mexico City, Mexico cacosta@itam.mx;3. Department of Industrial and Manufacturing Engineering , Florida State University , Tallahassee, Florida, USA
Abstract:
A fast initial response (FIR) feature for the run sum R chart is proposed and its ARL performance estimated by a Markov chain representation. It is shown that this chart is more sensitive than several R charts with runs rules proposed by different authors. We conclude that the run sum R chart is simple to use and a very effective tool for monitoring increases and decreases in process dispersion.
Keywords:Average run length  Fast initial response  Markov chain  Runs rules
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