Optimal design of the synthetic chart for the process mean based on median run length
Control charts are usually designed using average run length as the criterion to be optimized. The shape of the run length distribution changes according to the shift in the mean, from highly skewed for an in-control process to approximately symmetric when the mean shift is large. Since the shape of...
| 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/10356/105680 http://hdl.handle.net/10220/16607 http://dx.doi.org/10.1080/0740817X.2011.609526 |
| _version_ | 1826121835473797120 |
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| author | Khoo, Michael B. C. Wong, V. H. Wu, Zhang Castagliola, Philippe |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Khoo, Michael B. C. Wong, V. H. Wu, Zhang Castagliola, Philippe |
| author_sort | Khoo, Michael B. C. |
| collection | NTU |
| description | Control charts are usually designed using average run length as the criterion to be optimized. The shape of the run length distribution changes according to the shift in the mean, from highly skewed for an in-control process to approximately symmetric when the mean shift is large. Since the shape of the run length distribution changes with the mean shift, the Median Run Length (MRL) provides a more meaningful interpretation for in-control and out-of-control performances of the charts, and it is readily understood by practitioners. This article presents an optimal design procedure for a synthetic chart able to monitor the mean based on the MRL under the zero- and steady-state modes. The synthetic chart integrates X and conforming run length charts. Pseudocodes and Mathematica programs are presented for the computation of the optimal parameters of the synthetic chart based on a desired in-control MRL (MRL(0)), a given sample size, and a specified mean shift for which a quick detection is needed. |
| first_indexed | 2024-10-01T05:38:40Z |
| format | Journal Article |
| id | ntu-10356/105680 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:38:40Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/1056802019-12-06T21:55:44Z Optimal design of the synthetic chart for the process mean based on median run length Khoo, Michael B. C. Wong, V. H. Wu, Zhang Castagliola, Philippe School of Mechanical and Aerospace Engineering Control charts are usually designed using average run length as the criterion to be optimized. The shape of the run length distribution changes according to the shift in the mean, from highly skewed for an in-control process to approximately symmetric when the mean shift is large. Since the shape of the run length distribution changes with the mean shift, the Median Run Length (MRL) provides a more meaningful interpretation for in-control and out-of-control performances of the charts, and it is readily understood by practitioners. This article presents an optimal design procedure for a synthetic chart able to monitor the mean based on the MRL under the zero- and steady-state modes. The synthetic chart integrates X and conforming run length charts. Pseudocodes and Mathematica programs are presented for the computation of the optimal parameters of the synthetic chart based on a desired in-control MRL (MRL(0)), a given sample size, and a specified mean shift for which a quick detection is needed. 2013-10-18T04:15:50Z 2019-12-06T21:55:44Z 2013-10-18T04:15:50Z 2019-12-06T21:55:44Z 2012 2012 Journal Article Khoo, M. B. C., Wong, V. H., Wu, Z., & Castagliola, P. (2012). Optimal design of the synthetic chart for the process mean based on median run length. IIE Transactions, 44(9), 765-779. https://hdl.handle.net/10356/105680 http://hdl.handle.net/10220/16607 http://dx.doi.org/10.1080/0740817X.2011.609526 en IIE transactions |
| spellingShingle | Khoo, Michael B. C. Wong, V. H. Wu, Zhang Castagliola, Philippe Optimal design of the synthetic chart for the process mean based on median run length |
| title | Optimal design of the synthetic chart for the process mean based on median run length |
| title_full | Optimal design of the synthetic chart for the process mean based on median run length |
| title_fullStr | Optimal design of the synthetic chart for the process mean based on median run length |
| title_full_unstemmed | Optimal design of the synthetic chart for the process mean based on median run length |
| title_short | Optimal design of the synthetic chart for the process mean based on median run length |
| title_sort | optimal design of the synthetic chart for the process mean based on median run length |
| url | https://hdl.handle.net/10356/105680 http://hdl.handle.net/10220/16607 http://dx.doi.org/10.1080/0740817X.2011.609526 |
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