| 標題：Nonlinear profile monitoring using spline functions |
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| 學年 | 109 |
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| 學期 | 1 |
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| 出版（發表）日期 | 2020/09/15 |
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| 作品名稱 | Nonlinear profile monitoring using spline functions |
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| 作品名稱（其他語言） | |
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| 著者 | H Xi; W-J Hsieh; YL Lio; Tzong-Ru Tsai |
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| 單位 | |
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| 出版者 | |
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| 著錄名稱、卷期、頁數 | Mathematics 8(9), 1588 |
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| 摘要 | In this study, two new integrated control charts, named T2-MAE chart and MS-MAE chart, are introduced for monitoring the quality of a process when the mathematical form of nonlinear profile model for quality measure is complicated and unable to be specified. The T2-MAE chart is composed of two memoryless-type control charts and the MS-MAE chart is composed of one memory-type and one memoryless-type control charts. The normality assumption of error terms in the nonlinear profile model for both proposed control charts are extended to a generalized model. An intensive simulation study is conducted to evaluate the performance of the T2-MAE and MS-MAE charts. Simulation results show that the MS-MAE chart outperforms the T2-MAE chart with less false alarms during the Phase I monitoring. Moreover, the MS-MAE chart is sensitive to different shifts on the model parameters and profile shape during the Phase II monitoring. An example about the vertical density profile is used for illustration. |
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| 關鍵字 | cubic B-spline approximation;Hotelling T2 chart;maximum likelihood estimate;multivariate exponentially weighted moving average;statistical process control |
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| 語言 | 英文(美國) |
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| ISSN | 2227-7390 |
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| 期刊性質 | 國外 |
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| 收錄於 | SCI;Scopus; |
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| 產學合作 | |
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| 通訊作者 | Tzong-Ru Tsai |
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| 審稿制度 | 是 |
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| 國別 | 瑞士 |
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| 公開徵稿 | |
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| 出版型式 | ,電子版 |
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| 相關連結 | |
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| SDGs | |
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