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The Modified Double Sampling Coefficient of Variation Control Chart

Authors :
Fachrur Rozi
Udjianna Sekteria Pasaribu
Utriweni Mukhaiyar
Dradjad Irianto
Source :
Journal of Mathematical and Fundamental Sciences, Vol 55, Iss 1 (2023)
Publication Year :
2023
Publisher :
ITB Journal Publisher, 2023.

Abstract

The concept of monitoring the coefficient of variation has gained significant interest in quality control, particularly in situations where the mean and standard deviation of a process are not constant. This study modified the procedure of the previous double sampling chart for monitoring the coefficient of variation, developed by Ng et al. in 2018. Instead of using only information from the second sample, here, information from both samples is used. The probability properties of the out-of-control signal and run length of this chart are presented. To evaluate the chart’s performance, the optimal design and a comparison with the previous double sampling control chart using average run-length criteria are described. It was found that the modified double sampling chart has better performance and is more efficient compared to the previous chart, especially when the total sample size is smaller. As a study case, the application of this chart is illustrated using real data from a molding process. This confirmed that the modified double sampling chart improved performance in detecting out-of-control signals. Thus, the modified chart is recommended to be applied in industry.

Details

Language :
English
ISSN :
23375760 and 23385510
Volume :
55
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Journal of Mathematical and Fundamental Sciences
Publication Type :
Academic Journal
Accession number :
edsdoj.f3222f7d16a048b8ae91bd0fd9c5667c
Document Type :
article
Full Text :
https://doi.org/10.5614/j.math.fund.sci.2023.55.1.4