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Enhanced Cumulative Sum Charts for Monitoring Process Dispersion
The cumulative sum (CUSUM) control chart is widely used in industry for the detection of small and moderate shifts in process location and dispersion. For efficient monitoring of process variability, we present several CUSUM control charts for monitoring changes in standard deviation of a normal pro...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4406612/ https://www.ncbi.nlm.nih.gov/pubmed/25901356 http://dx.doi.org/10.1371/journal.pone.0124520 |
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author | Abujiya, Mu’azu Ramat Riaz, Muhammad Lee, Muhammad Hisyam |
author_facet | Abujiya, Mu’azu Ramat Riaz, Muhammad Lee, Muhammad Hisyam |
author_sort | Abujiya, Mu’azu Ramat |
collection | PubMed |
description | The cumulative sum (CUSUM) control chart is widely used in industry for the detection of small and moderate shifts in process location and dispersion. For efficient monitoring of process variability, we present several CUSUM control charts for monitoring changes in standard deviation of a normal process. The newly developed control charts based on well-structured sampling techniques - extreme ranked set sampling, extreme double ranked set sampling and double extreme ranked set sampling, have significantly enhanced CUSUM chart ability to detect a wide range of shifts in process variability. The relative performances of the proposed CUSUM scale charts are evaluated in terms of the average run length (ARL) and standard deviation of run length, for point shift in variability. Moreover, for overall performance, we implore the use of the average ratio ARL and average extra quadratic loss. A comparison of the proposed CUSUM control charts with the classical CUSUM R chart, the classical CUSUM S chart, the fast initial response (FIR) CUSUM R chart, the FIR CUSUM S chart, the ranked set sampling (RSS) based CUSUM R chart and the RSS based CUSUM S chart, among others, are presented. An illustrative example using real dataset is given to demonstrate the practicability of the application of the proposed schemes. |
format | Online Article Text |
id | pubmed-4406612 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-44066122015-05-07 Enhanced Cumulative Sum Charts for Monitoring Process Dispersion Abujiya, Mu’azu Ramat Riaz, Muhammad Lee, Muhammad Hisyam PLoS One Research Article The cumulative sum (CUSUM) control chart is widely used in industry for the detection of small and moderate shifts in process location and dispersion. For efficient monitoring of process variability, we present several CUSUM control charts for monitoring changes in standard deviation of a normal process. The newly developed control charts based on well-structured sampling techniques - extreme ranked set sampling, extreme double ranked set sampling and double extreme ranked set sampling, have significantly enhanced CUSUM chart ability to detect a wide range of shifts in process variability. The relative performances of the proposed CUSUM scale charts are evaluated in terms of the average run length (ARL) and standard deviation of run length, for point shift in variability. Moreover, for overall performance, we implore the use of the average ratio ARL and average extra quadratic loss. A comparison of the proposed CUSUM control charts with the classical CUSUM R chart, the classical CUSUM S chart, the fast initial response (FIR) CUSUM R chart, the FIR CUSUM S chart, the ranked set sampling (RSS) based CUSUM R chart and the RSS based CUSUM S chart, among others, are presented. An illustrative example using real dataset is given to demonstrate the practicability of the application of the proposed schemes. Public Library of Science 2015-04-22 /pmc/articles/PMC4406612/ /pubmed/25901356 http://dx.doi.org/10.1371/journal.pone.0124520 Text en © 2015 Abujiya et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited. |
spellingShingle | Research Article Abujiya, Mu’azu Ramat Riaz, Muhammad Lee, Muhammad Hisyam Enhanced Cumulative Sum Charts for Monitoring Process Dispersion |
title | Enhanced Cumulative Sum Charts for Monitoring Process Dispersion |
title_full | Enhanced Cumulative Sum Charts for Monitoring Process Dispersion |
title_fullStr | Enhanced Cumulative Sum Charts for Monitoring Process Dispersion |
title_full_unstemmed | Enhanced Cumulative Sum Charts for Monitoring Process Dispersion |
title_short | Enhanced Cumulative Sum Charts for Monitoring Process Dispersion |
title_sort | enhanced cumulative sum charts for monitoring process dispersion |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4406612/ https://www.ncbi.nlm.nih.gov/pubmed/25901356 http://dx.doi.org/10.1371/journal.pone.0124520 |
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