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A variable sample size run sum coefficient of variation chart

A run sum chart with variable sample size (VSS) to detect shifts in the coefficient of variation (gamma) is proposed. The run sum gamma chart divides the chart into different regions with distinct scores assigned to these regions, and evaluates the process from the cumulative score. The proposed cha...

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Main Authors: Yeong, Wai Chung, Tan, Yen Yoon, Li Lim, Sok, Khaw, Khai Wah, Khoo, Michael Boon Chong
Format: Article
Published: Wiley 2022
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/41776/
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id my.um.eprints.41776
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spelling my.um.eprints.417762023-10-25T01:46:22Z http://eprints.um.edu.my/41776/ A variable sample size run sum coefficient of variation chart Yeong, Wai Chung Tan, Yen Yoon Li Lim, Sok Khaw, Khai Wah Khoo, Michael Boon Chong QA Mathematics A run sum chart with variable sample size (VSS) to detect shifts in the coefficient of variation (gamma) is proposed. The run sum gamma chart divides the chart into different regions with distinct scores assigned to these regions, and evaluates the process from the cumulative score. The proposed chart varies the sample size based on the cumulative score. A detailed description of the operation for the proposed chart is provided. Formulae to evaluate various performance measures are also derived. Furthermore, algorithms to optimize the chart are proposed. The chart significantly outperforms the run sum gamma chart without the VSS feature in most cases. Besides the run sum gamma chart, comparisons are also made against other gamma charts. Finally, the implementation of the VSS run sum gamma chart is shown on an illustrative example. Wiley 2022-06 Article PeerReviewed Yeong, Wai Chung and Tan, Yen Yoon and Li Lim, Sok and Khaw, Khai Wah and Khoo, Michael Boon Chong (2022) A variable sample size run sum coefficient of variation chart. Quality and Reliability Engineering International, 38 (4). pp. 1869-1885. ISSN 0748-8017, DOI https://doi.org/10.1002/qre.3057 <https://doi.org/10.1002/qre.3057>. 10.1002/qre.3057
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Yeong, Wai Chung
Tan, Yen Yoon
Li Lim, Sok
Khaw, Khai Wah
Khoo, Michael Boon Chong
A variable sample size run sum coefficient of variation chart
description A run sum chart with variable sample size (VSS) to detect shifts in the coefficient of variation (gamma) is proposed. The run sum gamma chart divides the chart into different regions with distinct scores assigned to these regions, and evaluates the process from the cumulative score. The proposed chart varies the sample size based on the cumulative score. A detailed description of the operation for the proposed chart is provided. Formulae to evaluate various performance measures are also derived. Furthermore, algorithms to optimize the chart are proposed. The chart significantly outperforms the run sum gamma chart without the VSS feature in most cases. Besides the run sum gamma chart, comparisons are also made against other gamma charts. Finally, the implementation of the VSS run sum gamma chart is shown on an illustrative example.
format Article
author Yeong, Wai Chung
Tan, Yen Yoon
Li Lim, Sok
Khaw, Khai Wah
Khoo, Michael Boon Chong
author_facet Yeong, Wai Chung
Tan, Yen Yoon
Li Lim, Sok
Khaw, Khai Wah
Khoo, Michael Boon Chong
author_sort Yeong, Wai Chung
title A variable sample size run sum coefficient of variation chart
title_short A variable sample size run sum coefficient of variation chart
title_full A variable sample size run sum coefficient of variation chart
title_fullStr A variable sample size run sum coefficient of variation chart
title_full_unstemmed A variable sample size run sum coefficient of variation chart
title_sort variable sample size run sum coefficient of variation chart
publisher Wiley
publishDate 2022
url http://eprints.um.edu.my/41776/
_version_ 1781704554891444224
score 13.187197

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