簡易檢索 / 詳目顯示

研究生: 林建錡
Lin, Jian Chi
論文名稱: 利用空間秩無母數管制圖監控線性輪廓製程
Linear Profile Monitoring Based on Nonparametric Spatial Rank Method
指導教授: 黃榮臣
Huwang, Longcheen
口試委員: 葉百堯
Yeh, Arthur
蔡宗儒
Tsai, Tzong Ru
學位類別: 碩士
Master
系所名稱: 理學院 - 統計學研究所
Institute of Statistics
論文出版年: 2016
畢業學年度: 104
語文別: 中文
論文頁數: 70
中文關鍵詞: 輪廓監控空間秩
外文關鍵詞: profile monitoring, spatial rank
相關次數: 點閱:3下載:0
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 在現今的各式各樣製程中,在某些情況下,產品的品質能夠以一個或多個解釋變數與反應變數之間的函數關係來描述,此函數關係稱為輪廓,而透過監控輪廓模型的方法就稱為輪廓監控。通常在輪廓模型中的參數可透露出製程的品質狀況,所以我們可以藉由監控模型的參數是否改變,來達到改善製程能力的目的。傳統的輪廓監控管制圖,在輪廓模型中的誤差項常有常態分配的假設,但在某些情況下,常態分配的假設並不符合。因此我們提出一個無母數管制圖來監控輪廓製程,我們使用無母數的方法來估計模型的參數,同時以統計模擬的方式,來檢視所提出的無母數管制圖,並且以失控狀態平均連串長度為依據,與前人提出的輪廓監控無母數管制圖做比較。最後,我們用鋁電解電容器的製程資料來說明本文的無母數管制圖的使用。


    Nowadays, there are many production processes. In some condition, quality characteristics of a product in production can be described by the functional relationship between response and explanatory variable and then the relationship is called profile and the method of monitoring profile model is briefly called profile monitoring. The parameters in profile model can properly reveal the quality of a production process. Therefore, we can improve the capability of a process in the way of monitoring the shift of profile model parameters. When it comes to the traditional statistical control chart for profile monitoring, the error term in profile model usually is assumed to be normal distributed which is not satisfied with in most cases. Hence, we suggest a nonparametric control chart to monitor profile production. Also, we estimate the parameters in profile model in the nonparametric way. Meanwhile, we present the performance of our suggested control chart through statistical simulation. We also use out-of-control average run length to compare another nonparametric control chart which has proposed. Finally, we apply our proposed control chart to the Aluminum Electrolytic Capacitor production which is as a practical example.

    目錄 第一章 ᆣ論 1 1.1 管制圖的介紹 1 1.2 輪廓製程的監控 3 1.3 研究動機與目的 4 第二章 輪廓資料的監控 5 2.1 無母數的空間秩 EWMA 管制圖 5 2.2 多重線性迴歸模型與參數估計 9 2.2 線性輪廓製程的監控方法 11 第三章 統計模擬 16 3.1 模擬之模型假設 16 3.2 管制界限與第一階段資料大小 18 3.3 管制圖的比較 20 3.3.1 MSEWMA 管制圖 21 3.3.2 簡單線性輪廓製程下的比較 22 3.3.3 一般線性輪廓製程下的比較 23 3.4 例子 25 第四章 結論與未來研究 28 參考文獻 29 附表 32 附圖 49

    Aly, A. A., Mahmoud, M. A. andHamed, R. (2015).“The Performance of the Multivariate Adaptive Exponentially Weighted Moving Average Control Chart with Estimated Parameters.” Quality and Reliability Engineering International, doi: 10.1002/qre.1806

    Cook, R. D. (1998).“Regression Graphics: Ideas for Studying Regressions through Graphics.” Wiley, New York, NY.

    Hettmansperger, T. P. and McKean, J. W. (2010).“ Robust Nonparametric Statistical Methods.” second ed, CRC Press, Boca Ration, FL.

    Hettmansperger, T. P., and Randles, R. H. (2002).“A Practical Affine Equivariant
    Multivariate Median.” Biometrika, 89, pp. 851–860.

    Hotelling, H. (1947).“Multivariate Quality Control.” Techniques of Statistical Analysis, Eisenhart, Hastay, and Wallis (Ed.), McGraw-Hill, New York.

    Kang, L. and Albin, S. L. (2000).“On-line Monitoring When the Process Yields a Linear Profile.” Journal of Quality Technology, 32, pp. 418-426

    Lowry, C. A., Woodall, W. H., Champ, C. W. and Rigdon, S. E. (1992).“A Multivariate Exponentially Weighted Moving Average Control Chart.” Technometrics, 34, pp. 46-53

    Mestek, O., Pavlik, J. and Suchanek, M. (1994).“Multivariate Control Charts:Control Charts for Calibration Curves.” \textit{Journal of Analytical Chemistry}, 350, pp. 344-351

    Oja, H. (2010).“ Multivariate Nonparametric Methods with R.” Springer, New York.

    Page, E. S. (1954).“Continuous Inspection Schemes.” Biometric, 41, pp. 100-115.

    Qiu, P., Zou, C. and Wang, Z. (2010).“Nonparametric profile monitoring by mixed effects modeling(with discussion).” Technometrics, 52, pp. 265-293

    Qiu, P. (2013).“ Introduction to Statistical Process Control.” Chapman & Hall, Boca Raton.

    Roberts, S. W. (1959).“Control Chart Test Based on Geometric Moving Averages.” Technometrics, 1, pp. 234-250.

    Shewart, W. A. (1924).“Some Application of Statistical Methods to the Analysis of Physical and Engineering Data.” Bell System Technical Journal, 3, pp. 43-87

    Woodall, W. H. and Ncube, M. M. (1985).“Multivariate CUSUM Quality-control Procedures.” Technometrics, 27, pp. 285-292.

    Zi, X., Zou, C. and Tsung, F. (2012).“A Distribution-free Robust Method for Monitoring Linear Profiles Using Rank-based Regression.” IIE Transaction, 44:11, pp. 949-963.

    Zou, C., Tsung, F. and Wang, Z. (2007).“Monitoring General Linear Profiles Using Multivariate Exponential Weighted Moving Average Schemes.” Technometrics, 49, pp. 395-408.

    Zou, C., Tsung, F. and Wang, Z. (2008).“Monitoring Profiles Based on Nonparametric Regression Methods.” Technometrics, 50, pp. 512-526

    Zou, C., Wang, Z. and Tsung, F. (2012).“A Spatial Rank-based Multivariate EWMA Control Chart.” Naval Research Logistics, 59, pp. 91-110.

    無法下載圖示 全文公開日期 本全文未授權公開 (校內網路)
    全文公開日期 本全文未授權公開 (校外網路)
    全文公開日期 本全文未授權公開 (國家圖書館:臺灣博碩士論文系統)
    QR CODE