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Utriweni Mukhaiyar
Statistics Research Division, Faculty of Mathematics and Natural Science, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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The Modified Double Sampling Coefficient of Variation Control Chart Fachrur Rozi; Udjianna Sekteria Pasaribu; Utriweni Mukhaiyar; Dradjad Irianto
Journal of Mathematical and Fundamental Sciences Vol. 55 No. 1 (2023): (In Progress)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2023.55.1.4

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.
Co-Authors Dradjad Irianto Fachrur Rozi Udjianna Sekteria Pasaribu