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A new combined Shewhart-Cumulative Sum S chart for monitoring process standard deviation

The combined application of a Shewhart chart and cumulative sum (CUSUM) control chart is an effective tool for the detection of all sizes of process shifts as the scheme combines the advantages of a CUSUM at detecting small to moderate shifts and Shewhart for the quick detection of very large shifts...

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Main Authors: Abujiya, M. R., Riaz, M., Lee, M. H.
Format: Article
Published: John Wiley and Sons Ltd 2016
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/73700/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84933557627&doi=10.1002%2fqre.1822&partnerID=40&md5=cc13f5d083f8dcaebb874ace34392aff
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spelling my.utm.737002017-11-18T00:40:55Z http://eprints.utm.my/id/eprint/73700/ A new combined Shewhart-Cumulative Sum S chart for monitoring process standard deviation Abujiya, M. R. Riaz, M. Lee, M. H. QA Mathematics The combined application of a Shewhart chart and cumulative sum (CUSUM) control chart is an effective tool for the detection of all sizes of process shifts as the scheme combines the advantages of a CUSUM at detecting small to moderate shifts and Shewhart for the quick detection of very large shifts. This article proposes new combined Shewhart-CUSUM S charts based on the extreme variations of ranked set sampling technique, for efficient monitoring of changes in the process dispersion. Using Monte Carlo simulations, the combined scheme is designed to minimize the average extra quadratic loss over the entire process shift domain. The results show that the combined Shewhart-CUSUM S charts uniformly outperform several other procedures for detecting increases and decreases in the process variability. Moreover, the proposed scheme can detect changes that are small enough to escape the Shewhart S chart or fairly large to escape detection by the CUSUM S chart. Numerical example is given to illustrate the practical application of the proposed scheme using real industrial data. John Wiley and Sons Ltd 2016 Article PeerReviewed Abujiya, M. R. and Riaz, M. and Lee, M. H. (2016) A new combined Shewhart-Cumulative Sum S chart for monitoring process standard deviation. Quality and Reliability Engineering International, 32 (3). pp. 1149-1165. ISSN 0748-8017 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84933557627&doi=10.1002%2fqre.1822&partnerID=40&md5=cc13f5d083f8dcaebb874ace34392aff
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Abujiya, M. R.
Riaz, M.
Lee, M. H.
A new combined Shewhart-Cumulative Sum S chart for monitoring process standard deviation
description The combined application of a Shewhart chart and cumulative sum (CUSUM) control chart is an effective tool for the detection of all sizes of process shifts as the scheme combines the advantages of a CUSUM at detecting small to moderate shifts and Shewhart for the quick detection of very large shifts. This article proposes new combined Shewhart-CUSUM S charts based on the extreme variations of ranked set sampling technique, for efficient monitoring of changes in the process dispersion. Using Monte Carlo simulations, the combined scheme is designed to minimize the average extra quadratic loss over the entire process shift domain. The results show that the combined Shewhart-CUSUM S charts uniformly outperform several other procedures for detecting increases and decreases in the process variability. Moreover, the proposed scheme can detect changes that are small enough to escape the Shewhart S chart or fairly large to escape detection by the CUSUM S chart. Numerical example is given to illustrate the practical application of the proposed scheme using real industrial data.
format Article
author Abujiya, M. R.
Riaz, M.
Lee, M. H.
author_facet Abujiya, M. R.
Riaz, M.
Lee, M. H.
author_sort Abujiya, M. R.
title A new combined Shewhart-Cumulative Sum S chart for monitoring process standard deviation
title_short A new combined Shewhart-Cumulative Sum S chart for monitoring process standard deviation
title_full A new combined Shewhart-Cumulative Sum S chart for monitoring process standard deviation
title_fullStr A new combined Shewhart-Cumulative Sum S chart for monitoring process standard deviation
title_full_unstemmed A new combined Shewhart-Cumulative Sum S chart for monitoring process standard deviation
title_sort new combined shewhart-cumulative sum s chart for monitoring process standard deviation
publisher John Wiley and Sons Ltd
publishDate 2016
url http://eprints.utm.my/id/eprint/73700/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84933557627&doi=10.1002%2fqre.1822&partnerID=40&md5=cc13f5d083f8dcaebb874ace34392aff
_version_ 1643656723731316736
score 13.211869

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