系統識別號 | U0002-1006200811482600 |
---|---|
DOI | 10.6846/TKU.2008.00214 |
論文名稱(中文) | 三個分類水準的EWMA 及Shewhart-EWMA 管制圖 |
論文名稱(英文) | The Three-level EWMA and Shewhart-EWMA Control Charts |
第三語言論文名稱 | |
校院名稱 | 淡江大學 |
系所名稱(中文) | 統計學系碩士班 |
系所名稱(英文) | Department of Statistics |
外國學位學校名稱 | |
外國學位學院名稱 | |
外國學位研究所名稱 | |
學年度 | 96 |
學期 | 2 |
出版年 | 97 |
研究生(中文) | 顏文品 |
研究生(英文) | WEN-PIN YEN |
學號 | 695650068 |
學位類別 | 碩士 |
語言別 | 英文 |
第二語言別 | |
口試日期 | 2008-05-17 |
論文頁數 | 47頁 |
口試委員 |
指導教授
-
蔡宗儒
委員 - 吳柏林 委員 - 廖敏治 委員 - 蘇懿 |
關鍵字(中) |
平均連串長度 馬可夫鏈 Shewhart-EWMA 管制圖 EWMA 管制圖 管制圖 |
關鍵字(英) |
Average run length Markov chain Shewhart-EWMA control EWMA control chart control chart |
第三語言關鍵字 | |
學科別分類 | |
中文摘要 |
在生產過程中,製程常會受到許多因素干擾而產生變異,進而對品質特性產生影響,降低品質水準。當製程因干擾而產生變異時,統計製程管制(Statistical Process Control,簡稱SPC)能迅速地偵測出造成製程變異的可歸屬原因,以利品質管制人員採取修正措施並降低不良品的產生數量 。 本論文延伸Cassady 和 Nachlas (2006) 所提出之三個分類水準Shewhart 管制圖到三個分類水準的指數加權移動平均(Exponentially Weighted Moving Average,EWMA)管制圖及Shewhart-EWMA 管制圖 。在本研究中,管制圖的管制界限是在給定管制狀態下的平均連串長度,使用馬可夫鏈方法計算得到 的 。基本上,本論文所提出的管制圖可以改善三個分類水準Shewhart 管制圖在對製程小偏移的偵測速度。 |
英文摘要 |
The thesis extends the three-level Shewhart control chart proposed by Cassady and Nachlas [8] to exponentially weighted moving average and Shewhart-EWMA control charts for monitoring the quality of three-level (conforming, marginal, nonconforming) products. The control limits of the proposed control chart are established based on the zero-state average run lengths using Markov chain approximation. Basically, the proposed control charts improve the performance of the three-level Shewhart control chart signi¯cantly and are able to detect small shifts in a process more quickly. |
第三語言摘要 | |
論文目次 |
Contents 1 Introduction...........................................1 2 The Three-level Shewhart control chart.................4 3 The Proposed Control Charts............................8 3.1 The Three-level EWMA Control Chart...................8 3.2 The Three-level Shewhart-EWMA Control Chart.........10 4 Performance Measures..................................12 4.1 The Average Run Length..............................12 4.2 The Calculation of ARL for the Three-level EWMA Control Chart.......................................13 4.3 The Calculation of ARL for the Three-level Shewhart- EWMA Control Chart..................................16 5 Numerical study.......................................20 6 Conclusions...........................................44 List of Tables 5.1 The out-of-control ARLs under delta1_1=1.50 and delta_2=1.14. . . . . . . . . . . . 22 5.2 The out-of-control ARLs under delta_1=2.00 and delta_2=1.39. . . . . . . . . . . . 23 5.3 The out-of-control ARLs under delta_1=2.50 and delta_2=1.60. . . . . . . . . . . . . 24 5.4 The out-of-control ARLs under delta_1=3.00 and delta_2=1.78. . . . . . . . . . . . . 25 5.5 The out-of-control ARLs under delta_1=3.50 and delta_2=1.94. . . . . . . . . . . . . 26 5.6 The out-of-control ARLs under de1ta_1=4.00 and delta_2=2.09. . . . . . . . . . . . . 27 5.7 The out-of-control ARLs under delta_1=2.00 and delta_2=1.27. . . . . . . . . . . . . 28 5.8 The out-of-control ARLs under delta_1=2.50 and delta_2=1.49. . . . . . . . . . . . . 29 5.9 The out-of-control ARLs under delta_1=3.00 and delta_2=1.68. . . . . . . . . . . . . 30 5.10 The out-of-control ARLs under delta_1=3.50 and delta_2=1.85. . . . . . . . . . . . . 31 5.11 The out-of-control ARLs under delta_1=4.00 and delta_2=2.00. . . . . . . . . . . . . 32 5.12 The out-of-control ARLs under delta_1=4.50 and delta_2=2.14. . . . . . . . . . . . . 33 5.13 The out-of-control ARLs under delta_1=3.00 and delta_2=1.47. . . . . . . . . . . . . 34 5.14 The out-of-control ARLs under delta_1=3.50 and delta_2=1.66. . . . . . . . . . . . . 35 5.15 The out-of-control ARLs under delta_1=4.00 and delta_2=1.82. . . . . . . . . . . . . 36 5.16 The out-of-control ARLs under delta_1=4.50 and delta_2=1.97. . . . . . . . . . . . . 37 5.17 The out-of-control ARLs under delta_1=5.00 and delta_2=2.11. . . . . . . . . . . . . 38 5.18 The out-of-control ARLs under delta_1=5.50 and delta_2=2.23. . . . . . . . . . . . . 39 5.19 The out-of-control ARLs under lambda=0.1 and N=101. . . . . . . . . . . . . . 40 5.20 The out-of-control ARLs under lambda=0.15 and N=101. . . . . . . . . . . . . 41 5.21 The out-of-control ARLs under lambda=0.2 and N=101. . . . . . . . . . . . . . 42 5.22 The out-of-control ARLs under lambda=0.3 and N=101. . . . . . . . . . . . . . 43 List of Figures 4.1 In-control partition of interval. . . . . . . . . . . . . . . . . . . . . . . . . . 13 |
參考文獻 |
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