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| 研究生： |
李宜臻 Lee,I Chen |
|---|---|
| 論文名稱： |
適應性計數值損失函數管制圖之設計 Design of the Adaptive Loss Function Control Chart for Binomial Data |
| 指導教授： |
楊素芬
Yang,Su Fen 蔡紋琦 Tsai,Wen Chi |
| 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： | 2010 |
| 畢業學年度： | 98 |
| 語文別： | 英文 |
| 論文頁數： | 71 |
| 中文關鍵詞： | 計數值管制圖 、田口損失函數 、變動抽樣區間 、變動樣本數 、變動參數 、馬可夫鏈 |
| 外文關鍵詞： | Attribute Control Chart, Taguchi Loss Function, Variable Sampling Intervals, Variable Sample Sizes, Variable Parameters, Markov Chain |
| 相關次數： | 點閱：124 下載：18 |
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This article proposes the algorithm of a new control chart (loss function control chart) based on the Taguchi loss function with an adaptive scheme for binomial data. The loss function control chart is able to monitor cost variation from the process by applying loss function in the design. This new angle economically explores production cost. This research provides designs of the loss function control chart with specified VSI, optimal VSI, VSS and VP, respectively. Numerical analyses show that the specified VSI loss function chart, the optimal VSI loss function chart, the optimal VSS loss function chart and the optimal VP loss function chart outperform the Fp loss function chart significantly and show costs can be controlled systematically.
1.Introduction 1
2.Distribution of the Loss Function for binomial data 4
3.Design of the VSI Loss Function Chart for binomial data 6
3.1 Construction of the VSI Loss Function Chart for
binomial data 6
3.2 Performance Measurment 9
3.3 Determination of the UCL, WCL of the Specified VSI
Loss Function Chart 11
3.4 Determination of the UCL, WCL of the Optimal VSI Loss
Function Chart 12
3.5 Performance Comparisons 15
3.5.1 Specified VSI Loss Function Chart for
binomial data 15
3.5.2 Optimal VSI Loss Function Chart for binomial
data 17
3.6 Example 22
4.Design of the VSS Loss Function Chart for binomial data 27
4.1 Construction of the VSS Loss Function Chart for
binomial data 27
4.2 Performance Measurement 30
4.3 Determination of the UCLi, WCLi of the Optimal VSS
Loss Function Chart 32
4.4 Performance Comparisons 35
4.5 Example 39
5.Design of the VP Loss Function Chart for binomial data 43
5.1 Construction of the VP Loss Function Chart for
binomial data 43
5.2 Performance Measurement 46
5.3 Determination of the UCLi, WCLi of the Optimal VP
Loss Function Chart 48
5.4 Performance Comparisons 52
5.5 Example 56
6. Conclusion and Future Study 60
References 61
Appendix 63
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