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| 研究生： |
葉金田 Yeh, Jin Tyan |
|---|---|
| 論文名稱： |
計數值兩階段相依製程的監控 Monitoring a two-step dependent process with attribute data |
| 指導教授： |
楊素芬
Yang, Su Fen |
| 學位類別： |
博士
Doctor |
| 系所名稱： |
商學院 - 統計學系 Department of Statistics |
| 論文出版年： | 2011 |
| 畢業學年度： | 99 |
| 語文別： | 英文 |
| 論文頁數： | 57 |
| 中文關鍵詞： | 相依製程 |
| 相關次數： | 點閱：93 下載：19 |
| 分享至: |
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本論文探討計數值相依製程的管制方法, 內容如下:
(1) 當製程資料來自二元二項分配, 以建構二元二項管制區域監控計數值相依製程.
(2) 當二元計數資料具中度以上相關, 建立選控圖以監控計數值相依製程.
(3) 若不合格品比率極為微小時, 以二個相依的二項管制圖監控計數值相依製程.
(4) 建立適應性管制圖以監控計數值相依製程.
(5) 透過模擬與計算方式, 以平均連串長度及 AATS 來評估並比較以上所提方法的績效.
Chapter 1. Introduction……………………………………………………………..1
Chapter 2. Design of the Bivariate Binomial Control Region………………….......5
2.1 Example………………………………………………………………………..7
2.2 The Effect of px and py on Control Region………………………………….....9
2.3 Numerical Example……………………………………………………………10
Chapter 3. Design of Two Dependent Binomial Charts……………………………12
3.1 Framework for Bivariat Binomial Charts……………………………………...12 3.2 Numerical Example…………………………………………………………....14
Chapter 4. Using Cause Selecting Control Charts to Monitor Dependent Process Steps with Attributes Data…………………………………………………………16
4.1 Construction of the Proposed Charts…………………………………………..16
4.2 Numerical Example……………………………………………………………18
Chapter 5. Cause Selecting Charts with Variable Sample Sizes and Sampling Intervals for two Dependent Process Steps with Attributes Data…………………20
5.1 Design of VSSI Control Charts for Dependent Steps with Attributes Data…..20
5.2 Performance Measurement for VSSI Z1 and Z2 Control Charts………………22
5.3 Performance Comparison between VSSI and FP schemes……………….…..25
Chapter 6. Cause Selecting Charts with VSSI EWMA Control Charts for Two Dependent Process Steps with Attributes Data…………………………………..31
6.1 The Distribution of the VSSI EWMA Control Charts for Dependent Steps with Attributes Dada ……………………………………………………………...31
6.2 Design the VSSI EWMA Control Charts for Dependent Steps with Attributes
Data……………………………………………………………………. ……31
6.3 Performance Measurement for VSSI EWMA Control Charts……………….35
6.4 Performance Comparison between VSSI EWMA and FP EWMA Charts….37
Chapter 7. Performance Comparison of Bivariate Binomial Control and
Cause Selecting Charts…………………………………………………….41
7.1 In-control ARL Calculation…………………………………………………41
7.2 Out-of-control ARL Calculation…………………………………………….41
Chapter 8. Conclusion……………………………………………………………45
References………………………………………………………………………….47
Appendix 1: The Calculation of Transition Probability for VSSI Control Charts…49
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