Cargando…

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...

Descripción completa

Detalles Bibliográficos
Autores principales: Abujiya, Mu’azu Ramat, Riaz, Muhammad, Lee, Muhammad Hisyam
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2015
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
_version_ 1782367798652043264
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
work_keys_str_mv AT abujiyamuazuramat enhancedcumulativesumchartsformonitoringprocessdispersion
AT riazmuhammad enhancedcumulativesumchartsformonitoringprocessdispersion
AT leemuhammadhisyam enhancedcumulativesumchartsformonitoringprocessdispersion