One-sided Downward Control Chart for Monitoring the Multivariate Coefficient of Variation with VSSI Strategy
In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very...
Ausführliche Beschreibung
Autor*in: |
XinYing Chew [verfasserIn] Khai Wah Khaw [verfasserIn] |
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E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2020 |
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Schlagwörter: |
expected average time to signal |
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Übergeordnetes Werk: |
In: Journal of Mathematical and Fundamental Sciences - ITB Journal Publisher, 2013, 52(2020), 1, Seite 112-130 |
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Übergeordnetes Werk: |
volume:52 ; year:2020 ; number:1 ; pages:112-130 |
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Link aufrufen |
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DOI / URN: |
10.5614/j.math.fund.sci.2020.52.1.8 |
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Katalog-ID: |
DOAJ064629252 |
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520 | |a In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very few studies have been done on charts to monitor downward process shifts, which is important since downward process shifts show process improvement. In view of the importance of today’s competitive manufacturing environment, this paper proposes a one-sided chart to monitor the downward multivariate CV (MCV) with variable sample size and sampling interval (VSSI), i.e. the VSSID MCV chart. This paper monitors the MCV as most industrial processes simultaneously monitor at least two or more quality characteristics, while the VSSI feature is incorporated, as it is shown that this feature brings about a significant improvement of the chart. A Markov chain approach was adopted for designing a performance measure of the proposed chart. The numerical comparison revealed that the proposed chart outperformed existing MCV charts. The implementation of the VSSID MCV chart is illustrated with an example. | ||
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10.5614/j.math.fund.sci.2020.52.1.8 doi (DE-627)DOAJ064629252 (DE-599)DOAJ7bd698674b3549f5a130e9a4054b0f64 DE-627 ger DE-627 rakwb eng Q1-390 XinYing Chew verfasserin aut One-sided Downward Control Chart for Monitoring the Multivariate Coefficient of Variation with VSSI Strategy 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very few studies have been done on charts to monitor downward process shifts, which is important since downward process shifts show process improvement. In view of the importance of today’s competitive manufacturing environment, this paper proposes a one-sided chart to monitor the downward multivariate CV (MCV) with variable sample size and sampling interval (VSSI), i.e. the VSSID MCV chart. This paper monitors the MCV as most industrial processes simultaneously monitor at least two or more quality characteristics, while the VSSI feature is incorporated, as it is shown that this feature brings about a significant improvement of the chart. A Markov chain approach was adopted for designing a performance measure of the proposed chart. The numerical comparison revealed that the proposed chart outperformed existing MCV charts. The implementation of the VSSID MCV chart is illustrated with an example. average time to signal downward shifts expected average time to signal multivariate coefficient of variation variable sample size and sampling interval Science Q Science (General) Khai Wah Khaw verfasserin aut In Journal of Mathematical and Fundamental Sciences ITB Journal Publisher, 2013 52(2020), 1, Seite 112-130 (DE-627)798155051 (DE-600)2787006-6 23385510 nnns volume:52 year:2020 number:1 pages:112-130 https://doi.org/10.5614/j.math.fund.sci.2020.52.1.8 kostenfrei https://doaj.org/article/7bd698674b3549f5a130e9a4054b0f64 kostenfrei http://journals.itb.ac.id/index.php/jmfs/article/view/12534 kostenfrei https://doaj.org/toc/2337-5760 Journal toc kostenfrei https://doaj.org/toc/2338-5510 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 52 2020 1 112-130 |
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10.5614/j.math.fund.sci.2020.52.1.8 doi (DE-627)DOAJ064629252 (DE-599)DOAJ7bd698674b3549f5a130e9a4054b0f64 DE-627 ger DE-627 rakwb eng Q1-390 XinYing Chew verfasserin aut One-sided Downward Control Chart for Monitoring the Multivariate Coefficient of Variation with VSSI Strategy 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very few studies have been done on charts to monitor downward process shifts, which is important since downward process shifts show process improvement. In view of the importance of today’s competitive manufacturing environment, this paper proposes a one-sided chart to monitor the downward multivariate CV (MCV) with variable sample size and sampling interval (VSSI), i.e. the VSSID MCV chart. This paper monitors the MCV as most industrial processes simultaneously monitor at least two or more quality characteristics, while the VSSI feature is incorporated, as it is shown that this feature brings about a significant improvement of the chart. A Markov chain approach was adopted for designing a performance measure of the proposed chart. The numerical comparison revealed that the proposed chart outperformed existing MCV charts. The implementation of the VSSID MCV chart is illustrated with an example. average time to signal downward shifts expected average time to signal multivariate coefficient of variation variable sample size and sampling interval Science Q Science (General) Khai Wah Khaw verfasserin aut In Journal of Mathematical and Fundamental Sciences ITB Journal Publisher, 2013 52(2020), 1, Seite 112-130 (DE-627)798155051 (DE-600)2787006-6 23385510 nnns volume:52 year:2020 number:1 pages:112-130 https://doi.org/10.5614/j.math.fund.sci.2020.52.1.8 kostenfrei https://doaj.org/article/7bd698674b3549f5a130e9a4054b0f64 kostenfrei http://journals.itb.ac.id/index.php/jmfs/article/view/12534 kostenfrei https://doaj.org/toc/2337-5760 Journal toc kostenfrei https://doaj.org/toc/2338-5510 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 52 2020 1 112-130 |
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10.5614/j.math.fund.sci.2020.52.1.8 doi (DE-627)DOAJ064629252 (DE-599)DOAJ7bd698674b3549f5a130e9a4054b0f64 DE-627 ger DE-627 rakwb eng Q1-390 XinYing Chew verfasserin aut One-sided Downward Control Chart for Monitoring the Multivariate Coefficient of Variation with VSSI Strategy 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very few studies have been done on charts to monitor downward process shifts, which is important since downward process shifts show process improvement. In view of the importance of today’s competitive manufacturing environment, this paper proposes a one-sided chart to monitor the downward multivariate CV (MCV) with variable sample size and sampling interval (VSSI), i.e. the VSSID MCV chart. This paper monitors the MCV as most industrial processes simultaneously monitor at least two or more quality characteristics, while the VSSI feature is incorporated, as it is shown that this feature brings about a significant improvement of the chart. A Markov chain approach was adopted for designing a performance measure of the proposed chart. The numerical comparison revealed that the proposed chart outperformed existing MCV charts. The implementation of the VSSID MCV chart is illustrated with an example. average time to signal downward shifts expected average time to signal multivariate coefficient of variation variable sample size and sampling interval Science Q Science (General) Khai Wah Khaw verfasserin aut In Journal of Mathematical and Fundamental Sciences ITB Journal Publisher, 2013 52(2020), 1, Seite 112-130 (DE-627)798155051 (DE-600)2787006-6 23385510 nnns volume:52 year:2020 number:1 pages:112-130 https://doi.org/10.5614/j.math.fund.sci.2020.52.1.8 kostenfrei https://doaj.org/article/7bd698674b3549f5a130e9a4054b0f64 kostenfrei http://journals.itb.ac.id/index.php/jmfs/article/view/12534 kostenfrei https://doaj.org/toc/2337-5760 Journal toc kostenfrei https://doaj.org/toc/2338-5510 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 52 2020 1 112-130 |
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10.5614/j.math.fund.sci.2020.52.1.8 doi (DE-627)DOAJ064629252 (DE-599)DOAJ7bd698674b3549f5a130e9a4054b0f64 DE-627 ger DE-627 rakwb eng Q1-390 XinYing Chew verfasserin aut One-sided Downward Control Chart for Monitoring the Multivariate Coefficient of Variation with VSSI Strategy 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very few studies have been done on charts to monitor downward process shifts, which is important since downward process shifts show process improvement. In view of the importance of today’s competitive manufacturing environment, this paper proposes a one-sided chart to monitor the downward multivariate CV (MCV) with variable sample size and sampling interval (VSSI), i.e. the VSSID MCV chart. This paper monitors the MCV as most industrial processes simultaneously monitor at least two or more quality characteristics, while the VSSI feature is incorporated, as it is shown that this feature brings about a significant improvement of the chart. A Markov chain approach was adopted for designing a performance measure of the proposed chart. The numerical comparison revealed that the proposed chart outperformed existing MCV charts. The implementation of the VSSID MCV chart is illustrated with an example. average time to signal downward shifts expected average time to signal multivariate coefficient of variation variable sample size and sampling interval Science Q Science (General) Khai Wah Khaw verfasserin aut In Journal of Mathematical and Fundamental Sciences ITB Journal Publisher, 2013 52(2020), 1, Seite 112-130 (DE-627)798155051 (DE-600)2787006-6 23385510 nnns volume:52 year:2020 number:1 pages:112-130 https://doi.org/10.5614/j.math.fund.sci.2020.52.1.8 kostenfrei https://doaj.org/article/7bd698674b3549f5a130e9a4054b0f64 kostenfrei http://journals.itb.ac.id/index.php/jmfs/article/view/12534 kostenfrei https://doaj.org/toc/2337-5760 Journal toc kostenfrei https://doaj.org/toc/2338-5510 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 52 2020 1 112-130 |
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10.5614/j.math.fund.sci.2020.52.1.8 doi (DE-627)DOAJ064629252 (DE-599)DOAJ7bd698674b3549f5a130e9a4054b0f64 DE-627 ger DE-627 rakwb eng Q1-390 XinYing Chew verfasserin aut One-sided Downward Control Chart for Monitoring the Multivariate Coefficient of Variation with VSSI Strategy 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very few studies have been done on charts to monitor downward process shifts, which is important since downward process shifts show process improvement. In view of the importance of today’s competitive manufacturing environment, this paper proposes a one-sided chart to monitor the downward multivariate CV (MCV) with variable sample size and sampling interval (VSSI), i.e. the VSSID MCV chart. This paper monitors the MCV as most industrial processes simultaneously monitor at least two or more quality characteristics, while the VSSI feature is incorporated, as it is shown that this feature brings about a significant improvement of the chart. A Markov chain approach was adopted for designing a performance measure of the proposed chart. The numerical comparison revealed that the proposed chart outperformed existing MCV charts. The implementation of the VSSID MCV chart is illustrated with an example. average time to signal downward shifts expected average time to signal multivariate coefficient of variation variable sample size and sampling interval Science Q Science (General) Khai Wah Khaw verfasserin aut In Journal of Mathematical and Fundamental Sciences ITB Journal Publisher, 2013 52(2020), 1, Seite 112-130 (DE-627)798155051 (DE-600)2787006-6 23385510 nnns volume:52 year:2020 number:1 pages:112-130 https://doi.org/10.5614/j.math.fund.sci.2020.52.1.8 kostenfrei https://doaj.org/article/7bd698674b3549f5a130e9a4054b0f64 kostenfrei http://journals.itb.ac.id/index.php/jmfs/article/view/12534 kostenfrei https://doaj.org/toc/2337-5760 Journal toc kostenfrei https://doaj.org/toc/2338-5510 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 52 2020 1 112-130 |
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In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very few studies have been done on charts to monitor downward process shifts, which is important since downward process shifts show process improvement. In view of the importance of today’s competitive manufacturing environment, this paper proposes a one-sided chart to monitor the downward multivariate CV (MCV) with variable sample size and sampling interval (VSSI), i.e. the VSSID MCV chart. This paper monitors the MCV as most industrial processes simultaneously monitor at least two or more quality characteristics, while the VSSI feature is incorporated, as it is shown that this feature brings about a significant improvement of the chart. A Markov chain approach was adopted for designing a performance measure of the proposed chart. The numerical comparison revealed that the proposed chart outperformed existing MCV charts. The implementation of the VSSID MCV chart is illustrated with an example. |
abstractGer |
In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very few studies have been done on charts to monitor downward process shifts, which is important since downward process shifts show process improvement. In view of the importance of today’s competitive manufacturing environment, this paper proposes a one-sided chart to monitor the downward multivariate CV (MCV) with variable sample size and sampling interval (VSSI), i.e. the VSSID MCV chart. This paper monitors the MCV as most industrial processes simultaneously monitor at least two or more quality characteristics, while the VSSI feature is incorporated, as it is shown that this feature brings about a significant improvement of the chart. A Markov chain approach was adopted for designing a performance measure of the proposed chart. The numerical comparison revealed that the proposed chart outperformed existing MCV charts. The implementation of the VSSID MCV chart is illustrated with an example. |
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In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very few studies have been done on charts to monitor downward process shifts, which is important since downward process shifts show process improvement. In view of the importance of today’s competitive manufacturing environment, this paper proposes a one-sided chart to monitor the downward multivariate CV (MCV) with variable sample size and sampling interval (VSSI), i.e. the VSSID MCV chart. This paper monitors the MCV as most industrial processes simultaneously monitor at least two or more quality characteristics, while the VSSI feature is incorporated, as it is shown that this feature brings about a significant improvement of the chart. A Markov chain approach was adopted for designing a performance measure of the proposed chart. The numerical comparison revealed that the proposed chart outperformed existing MCV charts. The implementation of the VSSID MCV chart is illustrated with an example. |
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