Atta, Abdu Mohammed Ali and Shoraim, Majid H. A. and Syed Yahaya, Sharipah Soaad and Zain, Zakiyah and Ali, Hazlina (2016) A scaled weighted variance S control chart for skewed populations. Journal of Theoretical and Applied Information Technology, 91 (1). pp. 61-74. ISSN 1992-8645

PDF Restricted to Registered users only Download (502kB) | Request a copy

Abstract

This paper proposes a new S control chart for monitoring process dispersion of skewed populations. This control chart, called Scaled Weighted Variance S control chart (SWV-S) hereafter, this new SWV-S control chart is an improvement of the Weighted Variance S control chart (WV-S) proposed by Khoo et al.[11].The proposed control chart reduces to the Shewhart S control chart when the underlying distribution is symmetric.The proposed SWV-S control chart compared with the Shewhart S and WV-S control charts.An illustrative example is given to show how the proposed SWV-S control chart is constructed and works. Simulations study show that the proposed SWV-S control chart has the lower false alarm rates than the Shewhart S control chart and WV-S control chart when the underlying distributions are Weibull, lognormal and gamma. In terms of the probability of detection rates, the proposed SWV-S control chart is closer to S control chart with the exact method than those of the Shewhart S and WV-S control charts.

Item Type:	Article
Uncontrolled Keywords:	Control Chart, Weighted Variance, Scaled Weighted Variance, False Alarm Rates, Skewed Populations
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Dr. Abdu Mohammed Ali Atta
Date Deposited:	15 Nov 2016 07:51
Last Modified:	15 Nov 2016 07:51
URI:	https://repo.uum.edu.my/id/eprint/19632

Actions (login required)

View Item