An optimal design of the synthetic coefficient of variation chart based on the median run length
The synthetic coefficient of variation (CV) chart is currently evaluated based only on the average run length (ARL), but this paper evaluates the chart based on different percentiles of the run length, which shows that false alarms frequently happen earlier than that shown by the in-control ARL (ARL...
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my.um.eprints.348312022-09-07T04:20:46Z http://eprints.um.edu.my/34831/ An optimal design of the synthetic coefficient of variation chart based on the median run length Yeong, Wai Chung Lim, Sok Li Khoo, Michael Boon Chong Khaw, Khai Wah Ng, Peh Sang QA Mathematics The synthetic coefficient of variation (CV) chart is currently evaluated based only on the average run length (ARL), but this paper evaluates the chart based on different percentiles of the run length, which shows that false alarms frequently happen earlier than that shown by the in-control ARL (ARL0), and for small sample sizes and shift sizes, the out-of-control condition is frequently detected before what is shown by the out-of-control ARL (ARL1). Furthermore, the run lengths show large variations. Hence, the chart's performance could not be interpreted only in terms of the ARL. This paper proposes the median run length (MRL)-based design for the synthetic CV chart, which is not available in the literature. The MRL-based design shows larger MRL0 and ARL(0), smaller MRL1 and ARL(1), and less variation in the out-of-control run lengths compared to existing ARL-based designs. However, the in-control run lengths show more variation. Comparisons show that the synthetic chart outperforms the VSS and Shewhart charts, while comparison with the Exponentially Weighted Moving Average (EWMA) chart shows that although it outperforms the synthetic chart based on the ARL for small shift sizes, the synthetic chart shows better performance in terms of the MRL. The MRL-based synthetic chart is then implemented on an industrial example. World Scientific Publ 2021-06 Article PeerReviewed Yeong, Wai Chung and Lim, Sok Li and Khoo, Michael Boon Chong and Khaw, Khai Wah and Ng, Peh Sang (2021) An optimal design of the synthetic coefficient of variation chart based on the median run length. International Journal of Reliability Quality and Safety Engineering, 28 (3). ISSN 0218-5393, DOI https://doi.org/10.1142/S0218539321500182 <https://doi.org/10.1142/S0218539321500182>. 10.1142/S0218539321500182 |
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QA Mathematics Yeong, Wai Chung Lim, Sok Li Khoo, Michael Boon Chong Khaw, Khai Wah Ng, Peh Sang An optimal design of the synthetic coefficient of variation chart based on the median run length |
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The synthetic coefficient of variation (CV) chart is currently evaluated based only on the average run length (ARL), but this paper evaluates the chart based on different percentiles of the run length, which shows that false alarms frequently happen earlier than that shown by the in-control ARL (ARL0), and for small sample sizes and shift sizes, the out-of-control condition is frequently detected before what is shown by the out-of-control ARL (ARL1). Furthermore, the run lengths show large variations. Hence, the chart's performance could not be interpreted only in terms of the ARL. This paper proposes the median run length (MRL)-based design for the synthetic CV chart, which is not available in the literature. The MRL-based design shows larger MRL0 and ARL(0), smaller MRL1 and ARL(1), and less variation in the out-of-control run lengths compared to existing ARL-based designs. However, the in-control run lengths show more variation. Comparisons show that the synthetic chart outperforms the VSS and Shewhart charts, while comparison with the Exponentially Weighted Moving Average (EWMA) chart shows that although it outperforms the synthetic chart based on the ARL for small shift sizes, the synthetic chart shows better performance in terms of the MRL. The MRL-based synthetic chart is then implemented on an industrial example. |
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Article |
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Yeong, Wai Chung Lim, Sok Li Khoo, Michael Boon Chong Khaw, Khai Wah Ng, Peh Sang |
author_facet |
Yeong, Wai Chung Lim, Sok Li Khoo, Michael Boon Chong Khaw, Khai Wah Ng, Peh Sang |
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Yeong, Wai Chung |
title |
An optimal design of the synthetic coefficient of variation chart based on the median run length |
title_short |
An optimal design of the synthetic coefficient of variation chart based on the median run length |
title_full |
An optimal design of the synthetic coefficient of variation chart based on the median run length |
title_fullStr |
An optimal design of the synthetic coefficient of variation chart based on the median run length |
title_full_unstemmed |
An optimal design of the synthetic coefficient of variation chart based on the median run length |
title_sort |
optimal design of the synthetic coefficient of variation chart based on the median run length |
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World Scientific Publ |
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2021 |
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http://eprints.um.edu.my/34831/ |
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13.186907 |