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題名 A Double Sampling Scheme for Process Mean Monitoring
作者 楊素芬
Yang, Su-Fen;Wu, Sin-Hong
貢獻者 統計系
關鍵詞 Control charts; Monitoring; Process control; Exponential distribution; Electronic mail; Gaussian distribution; Manufacturing processes
日期 2016-12
上傳時間 26-Apr-2017 17:04:26 (UTC+8)
摘要 Mean control charts are effective tools for detecting mean shifts of an interesting quality variable in both manufacturing processes and service processes. Much of the data in service industries come from processes exhibiting non-normal or unknown distributions. The commonly used Shewhart mean control charts, which depend heavily on the normality assumption, are not appropriately used here. This paper thus proposes an asymmetric EWMA mean chart with a double sampling scheme (DS EWMA-AM chart) for monitoring mean shifts of a process with variables data. Furthermore, we explore the sampling properties of the new mean monitoring statistics, and investigate the out-of-control detection performance of the proposed DS EWMA-AM chart using average run lengths. The detection performance of the DS EWMA-AM chart and that of the single sampling EWMA mean (SS EWMA-AM) chart are then compared, with the former showing superior out-of-control detection performance versus the latter. We also compare the out-of-control mean detection performance of the proposed chart with those of non-parametric mean control charts, like the likelihood ratio-based distribution-free NLE, CWE, SS EWMA-AM, the SL, the SU, and the VSS and DSVSI X control charts by considering cases in which the critical quality characteristic presents normal, double exponential, uniform, chi-square and exponential distributions, respectively. Comparison results show that the proposed control chart always outperforms the existing mean control charts. We hence recommend employing the DS EWMA-AM chart. A numerical example of a service system for a bank branch in Taiwan is used to illustrate the application of the proposed mean control chart. Finally, we give a discussion for future study.
關聯 IEEE Access , Volume: PP, Issue: 99
資料類型 article
DOI http://dx.doi.org/10.1109/ACCESS.2017.2660239
dc.contributor 統計系
dc.creator (作者) 楊素芬zh_TW
dc.creator (作者) Yang, Su-Fen;Wu, Sin-Hong
dc.date (日期) 2016-12
dc.date.accessioned 26-Apr-2017 17:04:26 (UTC+8)-
dc.date.available 26-Apr-2017 17:04:26 (UTC+8)-
dc.date.issued (上傳時間) 26-Apr-2017 17:04:26 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/109232-
dc.description.abstract (摘要) Mean control charts are effective tools for detecting mean shifts of an interesting quality variable in both manufacturing processes and service processes. Much of the data in service industries come from processes exhibiting non-normal or unknown distributions. The commonly used Shewhart mean control charts, which depend heavily on the normality assumption, are not appropriately used here. This paper thus proposes an asymmetric EWMA mean chart with a double sampling scheme (DS EWMA-AM chart) for monitoring mean shifts of a process with variables data. Furthermore, we explore the sampling properties of the new mean monitoring statistics, and investigate the out-of-control detection performance of the proposed DS EWMA-AM chart using average run lengths. The detection performance of the DS EWMA-AM chart and that of the single sampling EWMA mean (SS EWMA-AM) chart are then compared, with the former showing superior out-of-control detection performance versus the latter. We also compare the out-of-control mean detection performance of the proposed chart with those of non-parametric mean control charts, like the likelihood ratio-based distribution-free NLE, CWE, SS EWMA-AM, the SL, the SU, and the VSS and DSVSI X control charts by considering cases in which the critical quality characteristic presents normal, double exponential, uniform, chi-square and exponential distributions, respectively. Comparison results show that the proposed control chart always outperforms the existing mean control charts. We hence recommend employing the DS EWMA-AM chart. A numerical example of a service system for a bank branch in Taiwan is used to illustrate the application of the proposed mean control chart. Finally, we give a discussion for future study.
dc.format.extent 1095193 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) IEEE Access , Volume: PP, Issue: 99
dc.subject (關鍵詞) Control charts; Monitoring; Process control; Exponential distribution; Electronic mail; Gaussian distribution; Manufacturing processes
dc.title (題名) A Double Sampling Scheme for Process Mean Monitoring
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1109/ACCESS.2017.2660239
dc.doi.uri (DOI) http://dx.doi.org/10.1109/ACCESS.2017.2660239