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| 研究生： |
王嘉煒 |
|---|---|
| 論文名稱： |
具變動抽樣間隔的雙次抽樣損失管制圖之設計 沒英文名稱 |
| 指導教授： | 楊素芬 |
| 學位類別： |
碩士
Master |
| 系所名稱： |
商學院 - 統計學系 Department of Statistics |
| 論文出版年： | 2014 |
| 畢業學年度： | 102 |
| 語文別： | 中文 |
| 論文頁數： | 111 |
| 中文關鍵詞： | 管制圖 |
| 相關次數： | 點閱：264 下載：48 |
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本篇研究的目的為建立Optimal DS AL管制圖，並以ARL為績效的衡量指標，接著以R軟體的基因演算法決定使失控ARL最小化的管制界線。接著建立DSVSI EWMA AL管制圖，並以ATS為績效的衡量指標。當EWMA的權重 時，DSVSI EWMA AL管制圖則簡化為DSVSI AL管制圖，當固定抽樣間隔時，DSVSI EWMA AL管制圖則簡化為DS EWMA AL管制圖，當EWMA的權重 且抽樣間隔固定時，DSVSI EWMA AL管制圖則簡化為DS AL管制圖。最後以資料分析比較 DSVSI EWMA AL管制圖、DSVSI AL管制圖 、DS EWMA AL管制圖、Optimal DS AL管制圖、 DS AL管制圖 、 Optimal VSI AL管制圖(Yang 2013a) 、AL管制圖(Yang 2013)和DS X-bar and S管制圖(He and Grigoryan 2004)之失控的偵測績效。
壹、 緒論 8
一、 前言 8
二、 研究動機 10
三、 研究目的與方法 10
貳、 DS AL管制圖的設計與績效衡量 11
一、 DS AL管制圖的追蹤統計量之分配 11
二、 DS AL管制圖的設計 14
三、 DS AL管制圖的績效衡量 16
四、 敏感度分析 20
參、 最適DS AL管制圖的設計與績效衡量 40
一、 設計最小ARL1下的DS AL管制圖 40
二、 最適DS AL管制圖和文獻上存在的相關管制圖之績效比較 42
肆、 DSVSI EWMA AL管制圖的設計與績效衡量 68
一、 DSVSI EWMA AL管制圖的追蹤統計量之分配與設計 68
二、 DSVSI EWMA AL管制圖的績效衡量 71
三、 敏感度分析 78
四、 DSVSI EWMA AL管制圖和其他相關管制圖節省績效比較 81
伍、 結論與建議 84
陸、 參考文獻 110
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