Atta, Abdu Mohammed Ali and Syed Yahaya, Sharipah Soaad and Zain, Zakiyah and Ali, Hazlina (2016) An EWMA chart for sample range of Weibull data using weighted variance method. In: 4th International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2016), 16–18 August 2016, Bangi, Selangor, Malaysia.

PDF Restricted to Registered users only Download (418kB) | Request a copy

Abstract

This article proposes new EWMA chart in observing process standard deviation or dispersion with sample range of Weibull data using weighted variance method (WV).This control chart, called Weighted Variance EWMA sample range WV-EWMASR chart hereafter.The proposed WV-EWMASR chart compared with standard EWMASR of [7], skewness correction R chart (SC-R) suggested by[3]and Weighted Variance R chart (WV-R) proposed by [2], in the case of Type I and Type II errors when the data generated from Weibull distribution. Optimal parameters λ and k of the proposed WV-EWMASR and standard EWMASR are obtained via simulation using SAS program 9.4.The proposed WV-EWMASR control chart reduces to the standard EWMASR control chart of [7] when the process follow symmetric distribution. The proposed WV-EWMASR control chart has less Type I error than the standard EWMASR, SC-R and WV-R control charts, for Weibull distribution data. In case of Type II error, the proposed WV-EWMASR control chart is closer to EWMA chart with the exact limits than the standard EWMASR in [7].

Item Type:	Conference or Workshop Item (Paper)
Additional Information:	ISBN: 978-0-7354-1444-0
Uncontrolled Keywords:	EWMA, control chart, Weibull data, process dispersion
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Dr. Abdu Mohammed Ali Atta
Date Deposited:	16 Nov 2016 04:22
Last Modified:	16 Nov 2016 04:22
URI:	https://repo.uum.edu.my/id/eprint/19718

Actions (login required)

View Item