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題名 Using a new VSI EWMA average loss control chart to monitor changes in the difference between the process mean and target and/or the process variability
作者 楊素芬
Yang, Su-Fen
貢獻者 統計系
關鍵詞 Control chart; Loss function; Markov chain; Variable sampling intervals
日期 2013.06
上傳時間 11-Feb-2014 14:01:27 (UTC+8)
摘要 A single chart, instead of View the MathML sourceX¯ and R charts or View the MathML sourceX¯ and S charts, to simultaneously monitor the process mean and variability would reduce the required time and effort. A number of studies have attempted to find such charts. Moreover, a number of studies demonstrated that the adaptive control charts may detect process shifts faster than the fixed control charts. This paper proposes an easier EWMA average loss chart with variable sampling intervals to effectively monitor the process and diagnose whether the out-of-control process is caused by the changes in the difference of process mean and target or the increase in process variability, or both. Furthermore, an optimal variable sampling interval EWMA average loss chart is also proposed. An example is used to illustrate the application and evaluate the performance of the proposed control chart in detecting and diagnosing the increases in the difference of the process mean and target and/or the process variability. Numerical analyses demonstrated that the optimal VSI EWMA average loss chart outperforms the average loss chart with fixed design parameters and the Shewhart joint View the MathML sourceX¯ and S charts. Therefore, the (optimal) VSI EWMA average loss chart is recommended.
關聯 Applied Mathematical Modelling, 37(16-17), 7973-7982
資料類型 article
DOI http://dx.doi.org/10.1016/j.apm.2013.03.023
dc.contributor 統計系en_US
dc.creator (作者) 楊素芬zh_TW
dc.creator (作者) Yang, Su-Fenen_US
dc.date (日期) 2013.06en_US
dc.date.accessioned 11-Feb-2014 14:01:27 (UTC+8)-
dc.date.available 11-Feb-2014 14:01:27 (UTC+8)-
dc.date.issued (上傳時間) 11-Feb-2014 14:01:27 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/63781-
dc.description.abstract (摘要) A single chart, instead of View the MathML sourceX¯ and R charts or View the MathML sourceX¯ and S charts, to simultaneously monitor the process mean and variability would reduce the required time and effort. A number of studies have attempted to find such charts. Moreover, a number of studies demonstrated that the adaptive control charts may detect process shifts faster than the fixed control charts. This paper proposes an easier EWMA average loss chart with variable sampling intervals to effectively monitor the process and diagnose whether the out-of-control process is caused by the changes in the difference of process mean and target or the increase in process variability, or both. Furthermore, an optimal variable sampling interval EWMA average loss chart is also proposed. An example is used to illustrate the application and evaluate the performance of the proposed control chart in detecting and diagnosing the increases in the difference of the process mean and target and/or the process variability. Numerical analyses demonstrated that the optimal VSI EWMA average loss chart outperforms the average loss chart with fixed design parameters and the Shewhart joint View the MathML sourceX¯ and S charts. Therefore, the (optimal) VSI EWMA average loss chart is recommended.en_US
dc.format.extent 437155 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Applied Mathematical Modelling, 37(16-17), 7973-7982en_US
dc.subject (關鍵詞) Control chart; Loss function; Markov chain; Variable sampling intervalsen_US
dc.title (題名) Using a new VSI EWMA average loss control chart to monitor changes in the difference between the process mean and target and/or the process variabilityen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1016/j.apm.2013.03.023en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1016/j.apm.2013.03.023en_US