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| Title: | 雙次抽樣平均數和變異數管制圖設計之研究
Study on design of double sampling mean and variance control charts |
| Authors: | 吳信宏
Wu, Sin Hong |
| Contributors: | 楊素芬
Yang, Su Fen
吳信宏
Wu, Sin Hong |
| Keywords: | 二次抽樣
平均串連長度
二項分配
Double sampling
Average run length
Binomial distribution |
| Date: | 2016 |
| Issue Date: | 2016-08-02 15:53:29 (UTC+8) |
| Abstract: | 雙次抽樣平均數和變異數管制圖設計之研究
Control charts are effective tools for detecting manufacturing processes and service processes. Nowadays, much of the data in manufacturing or service industries comes from processes having non-normal or unknown distributions. The commonly used Shewhart control charts, which depend heavily on the normality assumption, are not appropriately used for this situation. In this paper, we propose a standardized dynamic double sampling asymmetric EWMA mean control chart (SDDS EWMA-AM chart), a standardized dynamic double sampling asymmetric EWMA variance control chart (SDDS EWMA-AV chart), and their combined charts (joint SDDS EWMA-AM and SDDS EWMA-AV charts) to monitor process mean, variance and both shifts, respectively. The charts based on the double sampling procedure and two simple distribution-free transformed statistics are used for non-normal distribution of a quality variable. The performance of the proposed charts and that of some existing distribution-free mean and variance charts are compared. Further, a non-normal service times example from the service system of a bank branch is used to illustrate the applications of the proposed charts and to compare detection performance with the existing distribution-free mean and variance control charts. The charts we proposed show superior detection performance compared to the existing distribution-free mean and variance charts. Thus they are recommended. |
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| Description: | 碩士
國立政治大學
統計學系
103354016 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#G0103354016 |
| Data Type: | thesis |
| Appears in Collections: | [統計學系] 學位論文
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| 401601.pdf | | 4559Kb | Adobe PDF2 | 115 | View/Open |
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