A CUSUM scheme for event monitoring
This article presents a single CUSUM scheme (called the GCUSUM chart) for simultaneously monitoring the time interval T and magnitude X of an event. For example, a traffic accident may be considered as an event, and the total loss in dollars in each case is the event magnitude. Since the GCUSUM char...
| 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/10356/106689 http://hdl.handle.net/10220/16652 http://dx.doi.org/10.1016/j.ijpe.2013.04.048 |
| _version_ | 1811684947163873280 |
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| author | Khoo, Michael B. C. Qu, Liang Wu, Zhang Castagliola, Philippe |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Khoo, Michael B. C. Qu, Liang Wu, Zhang Castagliola, Philippe |
| author_sort | Khoo, Michael B. C. |
| collection | NTU |
| description | This article presents a single CUSUM scheme (called the GCUSUM chart) for simultaneously monitoring the time interval T and magnitude X of an event. For example, a traffic accident may be considered as an event, and the total loss in dollars in each case is the event magnitude. Since the GCUSUM chart is developed based on a synthetic statistic G which is a function of both T and X, this new chart is able to make use of the information about the event frequency, as well as the information about the event magnitude. Moreover, the detection power of the GCUSUM chart can be allocated in an optimal manner between those against T shifts and against X shifts, and between those against small shifts and against large shifts. The performance studies show that the GCUSUM chart is more effective than all other charts in the current literature for detecting the out-of-control status of an event. Furthermore, the GCUSUM chart performs more uniformly for detecting process shifts of different types and sizes. This chart is also easier to be designed and implemented than other CUSUM charts for monitoring both T and X. The GCUSUM chart has the potential to be applied to many different areas, especially to the non-manufacturing and service sectors, such as supply chain management, homeland security, office administration and the health care industry. |
| first_indexed | 2024-10-01T04:36:43Z |
| format | Journal Article |
| id | ntu-10356/106689 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:36:43Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/1066892019-12-06T22:16:21Z A CUSUM scheme for event monitoring Khoo, Michael B. C. Qu, Liang Wu, Zhang Castagliola, Philippe School of Mechanical and Aerospace Engineering This article presents a single CUSUM scheme (called the GCUSUM chart) for simultaneously monitoring the time interval T and magnitude X of an event. For example, a traffic accident may be considered as an event, and the total loss in dollars in each case is the event magnitude. Since the GCUSUM chart is developed based on a synthetic statistic G which is a function of both T and X, this new chart is able to make use of the information about the event frequency, as well as the information about the event magnitude. Moreover, the detection power of the GCUSUM chart can be allocated in an optimal manner between those against T shifts and against X shifts, and between those against small shifts and against large shifts. The performance studies show that the GCUSUM chart is more effective than all other charts in the current literature for detecting the out-of-control status of an event. Furthermore, the GCUSUM chart performs more uniformly for detecting process shifts of different types and sizes. This chart is also easier to be designed and implemented than other CUSUM charts for monitoring both T and X. The GCUSUM chart has the potential to be applied to many different areas, especially to the non-manufacturing and service sectors, such as supply chain management, homeland security, office administration and the health care industry. 2013-10-21T04:10:26Z 2019-12-06T22:16:21Z 2013-10-21T04:10:26Z 2019-12-06T22:16:21Z 2013 2013 Journal Article Qu, L., Wu, Z., Khoo, M. B.,& Castagliola, P. (2013). A CUSUM scheme for event monitoring. International Journal of Production Economics, 145(1), 268-280. 0925-5273 https://hdl.handle.net/10356/106689 http://hdl.handle.net/10220/16652 http://dx.doi.org/10.1016/j.ijpe.2013.04.048 en International journal of production economics |
| spellingShingle | Khoo, Michael B. C. Qu, Liang Wu, Zhang Castagliola, Philippe A CUSUM scheme for event monitoring |
| title | A CUSUM scheme for event monitoring |
| title_full | A CUSUM scheme for event monitoring |
| title_fullStr | A CUSUM scheme for event monitoring |
| title_full_unstemmed | A CUSUM scheme for event monitoring |
| title_short | A CUSUM scheme for event monitoring |
| title_sort | cusum scheme for event monitoring |
| url | https://hdl.handle.net/10356/106689 http://hdl.handle.net/10220/16652 http://dx.doi.org/10.1016/j.ijpe.2013.04.048 |
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