Enhancing R control chart performance in monitoring process dispersion using scaled weighted variance method for skewed populations
This study improves the performance of R control chart for monitoring process dispersion of skewed populations using scaled weighted variance method. This control chart, called Scaled Weighted Variance R control chart (SWV-R) hereafter, the SWV-R control chart compared with Skewness Correction R ch...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Medwell Publishing
2020
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| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/27546/1/JEAS%2015%206%202020%201508-1514.pdf |
| _version_ | 1803629322720772096 |
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| author | Atta, Abd Shoraim, Majed Syed Yahaya, Sharipah Soaad Abuzaid, Ali Mahdi, Esam |
| author_facet | Atta, Abd Shoraim, Majed Syed Yahaya, Sharipah Soaad Abuzaid, Ali Mahdi, Esam |
| author_sort | Atta, Abd |
| collection | UUM |
| description | This study improves the performance of R control chart for monitoring process dispersion of skewed
populations using scaled weighted variance method. This control chart, called Scaled Weighted Variance R control chart (SWV-R) hereafter, the SWV-R control chart compared with Skewness Correction R chart (SC-R) and Weighted Variance R chart (WV-R) in terms of false alarm. In terms of probability of detection rates the proposed SWV-R chart is compared with R chart of the exact method, SC-R and WV-R control charts. The
proposed SWV-R control chart reduces to the Shewhart R control chart when the underlying distribution is symmetric. An illustrative example is given to show how the proposed SWV-R control chart is constructed and works simulations study show that the proposed SWV-R control chart has the lower false alarm rates than the SC-R and WV-R control charts, when the underlying distributions are Weibull and gamma. In terms of the probability of detection rates, the proposed SWV-R control chart is closer to R control chart with the exact
method than WV-R and almost the same performance as SC-R chart. |
| first_indexed | 2024-07-04T06:36:01Z |
| format | Article |
| id | uum-27546 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:36:01Z |
| publishDate | 2020 |
| publisher | Medwell Publishing |
| record_format | dspace |
| spelling | uum-275462020-10-01T02:43:10Z https://repo.uum.edu.my/id/eprint/27546/ Enhancing R control chart performance in monitoring process dispersion using scaled weighted variance method for skewed populations Atta, Abd Shoraim, Majed Syed Yahaya, Sharipah Soaad Abuzaid, Ali Mahdi, Esam QA75 Electronic computers. Computer science This study improves the performance of R control chart for monitoring process dispersion of skewed populations using scaled weighted variance method. This control chart, called Scaled Weighted Variance R control chart (SWV-R) hereafter, the SWV-R control chart compared with Skewness Correction R chart (SC-R) and Weighted Variance R chart (WV-R) in terms of false alarm. In terms of probability of detection rates the proposed SWV-R chart is compared with R chart of the exact method, SC-R and WV-R control charts. The proposed SWV-R control chart reduces to the Shewhart R control chart when the underlying distribution is symmetric. An illustrative example is given to show how the proposed SWV-R control chart is constructed and works simulations study show that the proposed SWV-R control chart has the lower false alarm rates than the SC-R and WV-R control charts, when the underlying distributions are Weibull and gamma. In terms of the probability of detection rates, the proposed SWV-R control chart is closer to R control chart with the exact method than WV-R and almost the same performance as SC-R chart. Medwell Publishing 2020 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/27546/1/JEAS%2015%206%202020%201508-1514.pdf Atta, Abd and Shoraim, Majed and Syed Yahaya, Sharipah Soaad and Abuzaid, Ali and Mahdi, Esam (2020) Enhancing R control chart performance in monitoring process dispersion using scaled weighted variance method for skewed populations. Journal of Engineering and Applied Sciences, 15 (6). pp. 1508-1514. ISSN 1816949X http://doi.org/10.36478/jeasci.2020.1508.1514 doi:10.36478/jeasci.2020.1508.1514 doi:10.36478/jeasci.2020.1508.1514 |
| spellingShingle | QA75 Electronic computers. Computer science Atta, Abd Shoraim, Majed Syed Yahaya, Sharipah Soaad Abuzaid, Ali Mahdi, Esam Enhancing R control chart performance in monitoring process dispersion using scaled weighted variance method for skewed populations |
| title | Enhancing R control chart performance in monitoring process dispersion using scaled weighted variance method for skewed populations |
| title_full | Enhancing R control chart performance in monitoring process dispersion using scaled weighted variance method for skewed populations |
| title_fullStr | Enhancing R control chart performance in monitoring process dispersion using scaled weighted variance method for skewed populations |
| title_full_unstemmed | Enhancing R control chart performance in monitoring process dispersion using scaled weighted variance method for skewed populations |
| title_short | Enhancing R control chart performance in monitoring process dispersion using scaled weighted variance method for skewed populations |
| title_sort | enhancing r control chart performance in monitoring process dispersion using scaled weighted variance method for skewed populations |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/27546/1/JEAS%2015%206%202020%201508-1514.pdf |
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