Exponentially weighted moving average control charts for monitoring increases in Poisson rate
The Exponentially Weighted Moving Average (EWMA) control chart has been widely studied as a tool for monitoring normal processes due to its simplicity and efficiency. However, relatively little attention has been paid to EWMA charts for monitoring Poisson processes. This article extends EWMA charts...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/106790 http://hdl.handle.net/10220/16645 http://dx.doi.org/10.1080/0740817X.2011.578609 |
| _version_ | 1824453937156063232 |
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| author | Shu, Lianjie Jiang, Wei Wu, Zhang |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Shu, Lianjie Jiang, Wei Wu, Zhang |
| author_sort | Shu, Lianjie |
| collection | NTU |
| description | The Exponentially Weighted Moving Average (EWMA) control chart has been widely studied as a tool for monitoring normal processes due to its simplicity and efficiency. However, relatively little attention has been paid to EWMA charts for monitoring Poisson processes. This article extends EWMA charts to Poisson processes with an emphasis on quick detection of increases in Poisson rate. Both cases with and without normalizing transformation for Poisson data are considered. A Markov chain model is established to analyze and design the proposed chart. A comparison of the results obtained indicates that the EWMA chart based on normalized data is nearly optimal. |
| first_indexed | 2025-02-19T03:14:21Z |
| format | Journal Article |
| id | ntu-10356/106790 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:14:21Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/1067902019-12-06T22:18:27Z Exponentially weighted moving average control charts for monitoring increases in Poisson rate Shu, Lianjie Jiang, Wei Wu, Zhang School of Mechanical and Aerospace Engineering The Exponentially Weighted Moving Average (EWMA) control chart has been widely studied as a tool for monitoring normal processes due to its simplicity and efficiency. However, relatively little attention has been paid to EWMA charts for monitoring Poisson processes. This article extends EWMA charts to Poisson processes with an emphasis on quick detection of increases in Poisson rate. Both cases with and without normalizing transformation for Poisson data are considered. A Markov chain model is established to analyze and design the proposed chart. A comparison of the results obtained indicates that the EWMA chart based on normalized data is nearly optimal. 2013-10-21T03:52:19Z 2019-12-06T22:18:27Z 2013-10-21T03:52:19Z 2019-12-06T22:18:27Z 2012 2012 Journal Article Shu, L., Jiang, W.,& Wu, Z. (2012). Exponentially weighted moving average control charts for monitoring increases in Poisson rate. IIE Transactions, 44(9), 711-723. https://hdl.handle.net/10356/106790 http://hdl.handle.net/10220/16645 http://dx.doi.org/10.1080/0740817X.2011.578609 en IIE transactions |
| spellingShingle | Shu, Lianjie Jiang, Wei Wu, Zhang Exponentially weighted moving average control charts for monitoring increases in Poisson rate |
| title | Exponentially weighted moving average control charts for monitoring increases in Poisson rate |
| title_full | Exponentially weighted moving average control charts for monitoring increases in Poisson rate |
| title_fullStr | Exponentially weighted moving average control charts for monitoring increases in Poisson rate |
| title_full_unstemmed | Exponentially weighted moving average control charts for monitoring increases in Poisson rate |
| title_short | Exponentially weighted moving average control charts for monitoring increases in Poisson rate |
| title_sort | exponentially weighted moving average control charts for monitoring increases in poisson rate |
| url | https://hdl.handle.net/10356/106790 http://hdl.handle.net/10220/16645 http://dx.doi.org/10.1080/0740817X.2011.578609 |
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