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 |
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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.
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