改进的双抽样变异系数控制图

IF 0.5 Q4 MULTIDISCIPLINARY SCIENCES Journal of Mathematical and Fundamental Sciences Pub Date : 2023-10-04 DOI:10.5614/j.math.fund.sci.2023.55.1.4
Fachrur Rozi, Udjianna Sekteria Pasaribu, Utriweni Mukhaiyar, Dradjad Irianto
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引用次数: 4

摘要

监测变异系数的概念在质量控制中引起了极大的兴趣,特别是在过程的平均值和标准偏差不恒定的情况下。本研究修改了Ng等人在2018年开发的用于监测变异系数的先前双抽样图的程序。这里使用的不是来自第二个样本的信息,而是来自两个样本的信息。给出了失控信号的概率性质和该图的运行长度。为了评估图表的性能,描述了最优设计,并与以前使用平均游程标准的双抽样控制图进行了比较。研究发现,改进后的双抽样图与之前的图相比,性能更好,效率更高,特别是在总样本量较小的情况下。作为一个研究案例,用一个成型过程的真实数据说明了该图表的应用。这证实了改进的双采样图提高了检测失控信号的性能。因此,建议将修改后的图表应用于工业生产。
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The Modified Double Sampling Coefficient of Variation Control Chart
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.
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
0
审稿时长
24 weeks
期刊介绍: Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health Sciences, Medical Sciences, Pharmacy), Mathematics, Physics, and Statistics. New submissions of mathematics articles starting in January 2020 are required to focus on applied mathematics with real relevance to the field of natural sciences. Authors are invited to submit articles that have not been published previously and are not under consideration elsewhere.
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