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研究生: 許家綸
論文名稱: 使用卜瓦松迴歸模型來監控輪廓製程
Profile Monitoring via Poisson Regression Models
指導教授: 黃榮臣
口試委員: 王藝華
楊素芬
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: 2012
畢業學年度: 100
語文別: 中文
論文頁數: 58
中文關鍵詞: 卜瓦松迴歸模型輪廓監控
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  • 若製程的品質特性是由反應變數與一個或多個解釋變數間的某種關係所定義,則我們將這種關係稱之為輪廓。在本文中我們將考慮卜瓦松迴歸輪廓製程的監控,有別於傳統EWMA管制圖的作法,我們是利用極大化自然對數概似函數的指數加權移動平均來估計輪廓中的參數,並利用此估計量來建構管制圖,然後與傳統的EWMA管制圖做比較。在製程出現失控訊號後,我們將在不同管制圖下來比較製程的改變點的估計值和正確診斷是那個或那些參數的變動而造成製程的變異的準確率。最後我們會舉一個例子來說明實際上如何執行上述的管制圖。


    目錄 第一章 緒論......................................................1 1.1 前言…………………………………………………………...1 1.2 輪廓監控……………………………………………………...4 1.3 研究動機與目的……………………………………………...5 第二章 卜瓦松迴歸輪廓監控……………………………………............7 2.1 卜瓦松迴歸模型……………………………………………...7 2.2 參數估計方法………………………………………………...8 2.3 管制圖之建構………………………………………………..12 第三章 管制圖的比較……………………………………………...........16 3.1 管制圖的比較準則…………………………………………..16 3.2 管制圖的管制上限………………………………………....17 3.3 平均連串長度的比較………………………………………..20 3.4 改變點估計的比較…………………………………………..23 3.5 診斷…………………………………………………………..26 3.6 實例分析……………………………………………………..28 第四章 結論與未來研究方向……………………………………...........33 參考文獻……………………………………………………………….35 附表…………………………………………………………………….37 附圖………………………………………………………….…………55

    [1] 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.

    [2] Kim, K., Mahmoud, M. A., and Woodall, W. H. (2003). “On the Monitoring of Linear Profiles,” Journal of Quality Technology 35, pp. 317-328.

    [3] McCullagh, P. and Nelder, J. A. (1989). Generalized Linear Models, Chapman and Hall, London.

    [4] Mestsk, O., Pavlik, J., and Suchanek, M. (1994). “Multivariate Control Chart: Control Chart for Calibration Curves,” Fresenius’Journal of Analytical Chemistry 350, pp. 344-351.

    [5] Myers, R. H., Montgomery, D. C., and Vining, G. G. (2002). Generalized Linear Models with Application in Engineering and the Sciences, Chapman and Hall, London.

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    [8] Shang, Y., Tsung, F., and Zou, C. (2011). “Phase-II Profile Monitoring with Binary Data and Random Predictors,” Journal of Quality Technology, 43, pp. 196-208.

    [9] Walker E., and Wright, S. (2002). “Comparing Curves Using Additive Models,” Journal of Quality Technology 34, pp. 118-129.

    [10] Williams, J. D., Woodall, W. H., and Birch, J. B. (2007), “Statistical Monitoring of Nonlinear Product and Process Quality Profiles,” Quality and Reliability Engineering International 23, pp. 925-941.

    [11] Williams, J. D., Birch, J. B., Woodall. W. H., and Ferry, N. M. (2007), “Statistical Monitoring of Heteroscedastic Dose-Response Profiles from High-Throughput Screening,” Journal of Agricultural, Biological, and Environmental Statistics 12, pp. 216-235.

    [12] Woodall, W. H., Spitzner, D. J., Montgomery, D. C., and Gupta, S.(2004). “Using Control Charts to Monitor Process and Product Quality Profiles,” Journal of Quality Technology 36, pp. 309-320.

    [13] Yeh, A. B., Huwang, L., and Li, Y. (2009). “Profile Monitoring for a Binary Response,” IIE Transactions 41, pp. 931-941.

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

    [15] 林姿吟 (2003). “卜瓦松迴歸輪廓的監控,” 國立清華大學碩士論文。

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