Article (Scientific journals)
Percentile-based control chart design with an application to Shewhart X̅ and S2 control charts
Faraz, Alireza; Saniga, E.; Montgomery, D.
2019In Quality and Reliability Engineering International, 35 (1), p. 116-126
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Keywords :
Design; Flowcharting; Numerical methods; Probability; Process monitoring; Robustness (control systems); Statistical process control; Average run lengths; Control chart design; Design control; Design method; In-control; Out-of-control; Run length; Statistical design; Control charts
Abstract :
[en] We present a method to design control charts such that in-control and out-of-control run lengths are guaranteed with prespecified probabilities. We call this method the percentile-based approach to control chart design. This method is an improvement over the classical and popular statistical design approach employing constraints on in-control and out-of-control average run lengths since we can ensure with prespecified probability that the actual in-control run length exceeds a desired magnitude. Similarly, we can ensure that the out-of-control run length is less than a desired magnitude with prespecified probability. Some numerical examples illustrate the efficacy of this design method. © 2018 John Wiley & Sons, Ltd.
Disciplines :
Quantitative methods in economics & management
Author, co-author :
Faraz, Alireza ;  Université de Liège - ULg
Saniga, E.;  University of Delaware, Newark, DE 19716, United States
Montgomery, D.;  Arizona State University, Tempe, AZ 85281, United States
Language :
English
Title :
Percentile-based control chart design with an application to Shewhart X̅ and S2 control charts
Publication date :
2019
Journal title :
Quality and Reliability Engineering International
ISSN :
0748-8017
eISSN :
1099-1638
Publisher :
John Wiley & Sons, Hoboken, United States - New Jersey
Volume :
35
Issue :
1
Pages :
116-126
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
Institut national de la recherche scientifique, INRS; Fonds De La Recherche Scientifique - FNRS, FNRS
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