On the reliability of Shewhart-type control charts for multivariate process variability
We show that in the current practice of multivariate process variability monitoring, the reliability of Shewhart-type control charts cannot be measured except when the sub-group size n tends to infinity. However, the requirement of large n is meaningless not only in manufacturing industry where n is...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57426/1/On%20the%20reliability%20of%20Shewhart-type%20control%20charts%20for%20multivariate%20process%20variability.pdf |
| _version_ | 1796976690399805440 |
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| author | Djauhari, Maman Abdurrachman Mohd Salleh, Rohayu Zolkeply, Zunnaaim Lee, Siaw Li |
| author_facet | Djauhari, Maman Abdurrachman Mohd Salleh, Rohayu Zolkeply, Zunnaaim Lee, Siaw Li |
| author_sort | Djauhari, Maman Abdurrachman |
| collection | UPM |
| description | We show that in the current practice of multivariate process variability monitoring, the reliability of Shewhart-type control charts cannot be measured except when the sub-group size n tends to infinity. However, the requirement of large n is meaningless not only in manufacturing industry where n is small but also in service industry where n is moderate. In this paper, we introduce a new definition of control limits in the two most appreciated control charts in the literature, i.e., the improved generalized variance chart (IGV-chart) and vector variance chart (VV-chart). With the new definition of control limits, the reliability of the control charts can be determined. Some important properties of new control limits will be derived and the computational technique of probability of false alarm will be delivered. |
| first_indexed | 2024-03-06T09:29:21Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57426 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:29:21Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | upm.eprints-574262017-09-27T10:13:25Z http://psasir.upm.edu.my/id/eprint/57426/ On the reliability of Shewhart-type control charts for multivariate process variability Djauhari, Maman Abdurrachman Mohd Salleh, Rohayu Zolkeply, Zunnaaim Lee, Siaw Li We show that in the current practice of multivariate process variability monitoring, the reliability of Shewhart-type control charts cannot be measured except when the sub-group size n tends to infinity. However, the requirement of large n is meaningless not only in manufacturing industry where n is small but also in service industry where n is moderate. In this paper, we introduce a new definition of control limits in the two most appreciated control charts in the literature, i.e., the improved generalized variance chart (IGV-chart) and vector variance chart (VV-chart). With the new definition of control limits, the reliability of the control charts can be determined. Some important properties of new control limits will be derived and the computational technique of probability of false alarm will be delivered. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57426/1/On%20the%20reliability%20of%20Shewhart-type%20control%20charts%20for%20multivariate%20process%20variability.pdf Djauhari, Maman Abdurrachman and Mohd Salleh, Rohayu and Zolkeply, Zunnaaim and Lee, Siaw Li (2016) On the reliability of Shewhart-type control charts for multivariate process variability. In: 3rd ISM International Statistical Conference 2016 (ISM III), 9-11 Aug. 2016, Institute of Mathematical Sciences, University of Malaya. (pp. 1-7). 10.1063/1.4982866 |
| spellingShingle | Djauhari, Maman Abdurrachman Mohd Salleh, Rohayu Zolkeply, Zunnaaim Lee, Siaw Li On the reliability of Shewhart-type control charts for multivariate process variability |
| title | On the reliability of Shewhart-type control charts for multivariate process variability |
| title_full | On the reliability of Shewhart-type control charts for multivariate process variability |
| title_fullStr | On the reliability of Shewhart-type control charts for multivariate process variability |
| title_full_unstemmed | On the reliability of Shewhart-type control charts for multivariate process variability |
| title_short | On the reliability of Shewhart-type control charts for multivariate process variability |
| title_sort | on the reliability of shewhart type control charts for multivariate process variability |
| url | http://psasir.upm.edu.my/id/eprint/57426/1/On%20the%20reliability%20of%20Shewhart-type%20control%20charts%20for%20multivariate%20process%20variability.pdf |
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