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

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Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	R control chart, skewed population, scaled weighted variance method, SWV-R, WV-R, SC-R
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Mrs. Norazmilah Yaakub
Date Deposited:	01 Oct 2020 02:43
Last Modified:	01 Oct 2020 02:43
URI:	https://repo.uum.edu.my/id/eprint/27546

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