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題名 A Bayesian Control Chart for Monitoring Process Variance
作者 楊素芬
Yang, Su-Fen
Lin, Chien-Hua
Lu, Ming-Che
Lee, Ming-Yung
貢獻者 統計系
日期 2021-03
上傳時間 25-Jun-2021 10:17:38 (UTC+8)
摘要 Automation in the service industry is emerging as a new wave of industrial revolution. Standardization and consistency of service quality is an important part of the automation process. The quality control methods widely used in the manufacturing industry can provide service quality measurement and service process monitoring. In particular, the control chart as an online monitoring technique can be used to quickly detect whether a service process is out of control. However, the control of the service process is more difficult than that of the manufacturing process because the variability of the service process comes from widespread and complex factors. First of all, the distribution of the service process is usually non-normal or unknown. Moreover, the skewness of the process distribution can be time-varying, even if the process is in control. In this study, a Bayesian procedure is applied to construct a Phase II exponential weighted moving average (EWMA) control chart for monitoring the variance of a distribution-free process. We explore the sampling properties of the new monitoring statistic, which is suitable for monitoring the time-varying process distribution. The average run lengths (ARLs) of the proposed Bayesian EWMA variance chart are calculated, and they show that the chart performs well. The simulation studies for a normal process, exponential process, and the mixed process of normal and exponential distribution prove that our chart can quickly detect any shift of a process variance. Finally, a numerical example of bank service time is used to illustrate the application of the proposed Bayesian EWMA variance chart and confirm the performance of the process control. 
關聯 applied Sciences, 11(6), 2729
資料類型 article
DOI https://doi.org/10.3390/app11062729 
dc.contributor 統計系
dc.creator (作者) 楊素芬
dc.creator (作者) Yang, Su-Fen
dc.creator (作者) Lin, Chien-Hua
dc.creator (作者) Lu, Ming-Che
dc.creator (作者) Lee, Ming-Yung
dc.date (日期) 2021-03
dc.date.accessioned 25-Jun-2021 10:17:38 (UTC+8)-
dc.date.available 25-Jun-2021 10:17:38 (UTC+8)-
dc.date.issued (上傳時間) 25-Jun-2021 10:17:38 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/135890-
dc.description.abstract (摘要) Automation in the service industry is emerging as a new wave of industrial revolution. Standardization and consistency of service quality is an important part of the automation process. The quality control methods widely used in the manufacturing industry can provide service quality measurement and service process monitoring. In particular, the control chart as an online monitoring technique can be used to quickly detect whether a service process is out of control. However, the control of the service process is more difficult than that of the manufacturing process because the variability of the service process comes from widespread and complex factors. First of all, the distribution of the service process is usually non-normal or unknown. Moreover, the skewness of the process distribution can be time-varying, even if the process is in control. In this study, a Bayesian procedure is applied to construct a Phase II exponential weighted moving average (EWMA) control chart for monitoring the variance of a distribution-free process. We explore the sampling properties of the new monitoring statistic, which is suitable for monitoring the time-varying process distribution. The average run lengths (ARLs) of the proposed Bayesian EWMA variance chart are calculated, and they show that the chart performs well. The simulation studies for a normal process, exponential process, and the mixed process of normal and exponential distribution prove that our chart can quickly detect any shift of a process variance. Finally, a numerical example of bank service time is used to illustrate the application of the proposed Bayesian EWMA variance chart and confirm the performance of the process control. 
dc.format.extent 824608 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) applied Sciences, 11(6), 2729
dc.title (題名) A Bayesian Control Chart for Monitoring Process Variance
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.3390/app11062729 
dc.doi.uri (DOI) https://doi.org/10.3390/app11062729