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| Title: | 考慮韋伯分配下兩個相依製程之管制
Process Control for Two Dependent Subprocess under Weibull Shock Model |
| Authors: | 陳延宗
Chen, Yen-Tsung |
| Contributors: | 楊素芬
Yang, Su-Fen
陳延宗
Chen, Yen-Tsung |
| Keywords: | 韋伯分配
選控圖
更新理論
Weibull distribution
cause-selecting chart
renewal theorem |
| Date: | 2000 |
| Issue Date: | 2016-03-31 14:44:31 (UTC+8) |
| Abstract: | Today, most products are produced by several dependent subprocesses. This paper considers the economic-statistical process control for two dependent subprocesses with two assignable causes following Weibull shock distributions. We construct the individual X control chart to monitor the in-coming quality produced by previous process, and use the cause-selecting control chart to monitor the specific quality produced by current process. By using the charts, we can effectively and economically distinguish which subprocess is out of control. The renewal theorem approach is extended to construct the cost model for our proposed control charts, and the successive quadratic programming algorithm and a finite difference gradient method in the Fortran IMSL subroutine (dnconf) is used to determine the optimal design parameters of the proposed control charts. Finally, we give an example to show how to construct and apply the proposed control charts. Furthermore, the sensitivity analysis illustrates the effects of cost and process parameters on the optimal design parameters and the minimal expected cost per unit time for the proposed control charts. |
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| Description: | 碩士
國立政治大學
統計學系
87354009 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#A2002001933 |
| Data Type: | thesis |
| Appears in Collections: | [統計學系] 學位論文
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