A control chart for monitoring process variation using multiple dependent state sampling. Issue 8 (14th September 2018)

• Record Type: Journal Article
• Authors: Arshad, Asma; Azam, Muhammad; Aslam, Muhammad; Jun, Chi-Hyuck
• Is Part Of: Communications in statistics. Volume 47:Issue 8(2018)
• Page Start: 2216
• Page End: 2233
• Publication Date: 2018-09-14
• Subjects: Average run length -- Control chart -- Multiple dependent state sampling -- process shift -- Variance; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2017.1341524
• Languages: English
• ISSNs: 0361-0918

Abstract

ABSTRACT: A control chart for monitoring process variation by using multiple dependent state (MDS) sampling is constructed in the present article. The operational formulas for in-control and out-of-control average run lengths (ARLs) are derived. Control constants are established by considering the target in-control ARL at a normal process. The extensive ARL tables are reported for various parameters and shifted values of process parameters. The performance of the proposed control chart has been evaluated with several existing charts in regard of ARLs, which empowered the presented chart and proved far better for timely detection of assignable causes. The application of the proposed concept is illustrated with a real-life industrial example and a simulation-based study to elaborate strength of the proposed chart over the existing concepts.