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題名 Loss-based control charts for monitoring non-normal process data
作者 楊素芬
Yang, Su-Fen
Shen, Lijuan
貢獻者 統計系
關鍵詞 Control charts ; Process control ; Gaussian distribution ; Standards ; Monitoring ; Probability density function ; Loss measurement
日期 2020-04
上傳時間 25-May-2021 14:12:54 (UTC+8)
摘要 Quality and loss of products are crucial factors in competitive companies, and firms widely adopt a loss function to measure the loss caused by a deviation in the quality variable from the target value. From Taguchi`s view point, it is important to monitor any deviation from the process target value. While most existing studies assume the quality variable follows a normal distribution, the distribution can in fact be skewed or deviate from normal in practice. This paper thus proposes loss-based control charts for monitoring the quality loss location or equivalently the deviation of the quality variable from the target value under a skew-normal distribution. We consider the exponentially weighted moving average (EWMA) average loss control chart, which illustrates the best performance in detecting an out-of-control loss location for a process with a left-skewed distribution. Numerical analysis demonstrates that the proposed EWMA average loss chart always performs better than the existing median loss chart for both left-skewed and right-skewed distributions. A numerical example illustrates the application of the proposed EWMA average loss control chart.
關聯 IEEE ACCESS, Vol.8, No.1, pp.91163-91169
資料類型 article
DOI https://doi.org/10.1109/ACCESS.2020.2989400
dc.contributor 統計系
dc.creator (作者) 楊素芬
dc.creator (作者) Yang, Su-Fen
dc.creator (作者) Shen, Lijuan
dc.date (日期) 2020-04
dc.date.accessioned 25-May-2021 14:12:54 (UTC+8)-
dc.date.available 25-May-2021 14:12:54 (UTC+8)-
dc.date.issued (上傳時間) 25-May-2021 14:12:54 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/135133-
dc.description.abstract (摘要) Quality and loss of products are crucial factors in competitive companies, and firms widely adopt a loss function to measure the loss caused by a deviation in the quality variable from the target value. From Taguchi`s view point, it is important to monitor any deviation from the process target value. While most existing studies assume the quality variable follows a normal distribution, the distribution can in fact be skewed or deviate from normal in practice. This paper thus proposes loss-based control charts for monitoring the quality loss location or equivalently the deviation of the quality variable from the target value under a skew-normal distribution. We consider the exponentially weighted moving average (EWMA) average loss control chart, which illustrates the best performance in detecting an out-of-control loss location for a process with a left-skewed distribution. Numerical analysis demonstrates that the proposed EWMA average loss chart always performs better than the existing median loss chart for both left-skewed and right-skewed distributions. A numerical example illustrates the application of the proposed EWMA average loss control chart.
dc.format.extent 3869370 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) IEEE ACCESS, Vol.8, No.1, pp.91163-91169
dc.subject (關鍵詞) Control charts ; Process control ; Gaussian distribution ; Standards ; Monitoring ; Probability density function ; Loss measurement
dc.title (題名) Loss-based control charts for monitoring non-normal process data
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1109/ACCESS.2020.2989400
dc.doi.uri (DOI) https://doi.org/10.1109/ACCESS.2020.2989400