Economic And Economic-Statistical Designs Of Variable Sample Size And Sampling Interval Coefficient Of Variation Chart And Development Of Variable Sample Size Multivariate Coefficient Of Variation Chart For Short Runs

Control charts are one of the most useful statistical process control tools that have been adopted for process monitoring in numerous fields. Traditional control charts are ineffective in process monitoring when the process being monitored does not have the process mean and variance that are indepen...

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Main Author:	Chew, Yiying
Format:	Thesis
Language:	English
Published:	2023
Subjects:	QA1 Mathematics (General)
Online Access:	http://eprints.usm.my/60262/1/24%20Pages%20from%20CHEW%20YIYING.pdf
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id	my-usm-ep.60262
record_format	uketd_dc
spelling	my-usm-ep.602622024-03-25T01:23:41Z Economic And Economic-Statistical Designs Of Variable Sample Size And Sampling Interval Coefficient Of Variation Chart And Development Of Variable Sample Size Multivariate Coefficient Of Variation Chart For Short Runs 2023-05 Chew, Yiying QA1 Mathematics (General) Control charts are one of the most useful statistical process control tools that have been adopted for process monitoring in numerous fields. Traditional control charts are ineffective in process monitoring when the process being monitored does not have the process mean and variance that are independent of one another. Under such a circumstance, the coefficient of variation (CV) is used in process monitoring, where the ratio of the standard deviation to the mean is monitored. The variable sample size and sampling interval CV (VSSI CV) chart was shown to be more effective than the Shewhart CV (SH CV) chart in the literature but only in terms of the statistical performance. Thus, the first objective of this thesis is to investigate the economic and the economic-statistical performance of the VSSI CV chart. By minimizing the cost via the economic and economic-statistical designs, the VSSI CV chart can be implemented more economically. The economic and economical-statistical performance of the VSSI CV chart is studied using numerical examples, where comparisons with the SH CV chart are made. The results show that the VSSI CV chart outperforms the SH CV chart, in terms of both economic and economic-statistical performance. A study on the misspecification of the shift size is also conducted to study the effect of wrongly specifying the shift size on the optimal cost. 2023-05 Thesis http://eprints.usm.my/60262/ http://eprints.usm.my/60262/1/24%20Pages%20from%20CHEW%20YIYING.pdf application/pdf en public phd doctoral Perpustakaan Hamzah Sendut Pusat Pengajian Sains Matematik
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	QA1 Mathematics (General)
spellingShingle	QA1 Mathematics (General) Chew, Yiying Economic And Economic-Statistical Designs Of Variable Sample Size And Sampling Interval Coefficient Of Variation Chart And Development Of Variable Sample Size Multivariate Coefficient Of Variation Chart For Short Runs
description	Control charts are one of the most useful statistical process control tools that have been adopted for process monitoring in numerous fields. Traditional control charts are ineffective in process monitoring when the process being monitored does not have the process mean and variance that are independent of one another. Under such a circumstance, the coefficient of variation (CV) is used in process monitoring, where the ratio of the standard deviation to the mean is monitored. The variable sample size and sampling interval CV (VSSI CV) chart was shown to be more effective than the Shewhart CV (SH CV) chart in the literature but only in terms of the statistical performance. Thus, the first objective of this thesis is to investigate the economic and the economic-statistical performance of the VSSI CV chart. By minimizing the cost via the economic and economic-statistical designs, the VSSI CV chart can be implemented more economically. The economic and economical-statistical performance of the VSSI CV chart is studied using numerical examples, where comparisons with the SH CV chart are made. The results show that the VSSI CV chart outperforms the SH CV chart, in terms of both economic and economic-statistical performance. A study on the misspecification of the shift size is also conducted to study the effect of wrongly specifying the shift size on the optimal cost.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Chew, Yiying
author_facet	Chew, Yiying
author_sort	Chew, Yiying
title	Economic And Economic-Statistical Designs Of Variable Sample Size And Sampling Interval Coefficient Of Variation Chart And Development Of Variable Sample Size Multivariate Coefficient Of Variation Chart For Short Runs
title_short	Economic And Economic-Statistical Designs Of Variable Sample Size And Sampling Interval Coefficient Of Variation Chart And Development Of Variable Sample Size Multivariate Coefficient Of Variation Chart For Short Runs
title_full	Economic And Economic-Statistical Designs Of Variable Sample Size And Sampling Interval Coefficient Of Variation Chart And Development Of Variable Sample Size Multivariate Coefficient Of Variation Chart For Short Runs
title_fullStr	Economic And Economic-Statistical Designs Of Variable Sample Size And Sampling Interval Coefficient Of Variation Chart And Development Of Variable Sample Size Multivariate Coefficient Of Variation Chart For Short Runs
title_full_unstemmed	Economic And Economic-Statistical Designs Of Variable Sample Size And Sampling Interval Coefficient Of Variation Chart And Development Of Variable Sample Size Multivariate Coefficient Of Variation Chart For Short Runs
title_sort	economic and economic-statistical designs of variable sample size and sampling interval coefficient of variation chart and development of variable sample size multivariate coefficient of variation chart for short runs
granting_institution	Perpustakaan Hamzah Sendut
granting_department	Pusat Pengajian Sains Matematik
publishDate	2023
url	http://eprints.usm.my/60262/1/24%20Pages%20from%20CHEW%20YIYING.pdf
_version_	1804888900668227584

Economic And Economic-Statistical Designs Of Variable Sample Size And Sampling Interval Coefficient Of Variation Chart And Development Of Variable Sample Size Multivariate Coefficient Of Variation Chart For Short Runs

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