Enhancing Control: Unveiling the Performance of Poisson EWMA Charts through Simulation with Poisson Mixture DATA

被引:1
|
作者
Uncu, Nusin [1 ]
Koyuncu, Melik [2 ]
机构
[1] Adana Alparslan Turkes Sci & Technol Univ, Dept Ind Engn, TR-01250 Adana, Turkiye
[2] Cukurova Univ, Dept Ind Engn, TR-01330 Adana, Turkiye
来源
APPLIED SCIENCES-BASEL | 2023年 / 13卷 / 20期
关键词
control charts; PEWMA; poisson mixture distribution; simulation;
D O I
10.3390/app132011160
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Poisson-Exponentially Weighted Moving Average (PEWMA) charts are one of the most frequently used control charts for monitoring count data. But as real-world data often shows overdispersion-prevalent in manufacturing, health care, economics, and marketing-the standard Poisson distribution falls short. One of the ways to tackle overdispersion is to use Poisson mixture distributions. Our study examines Average Run Length (ARL) performance in the presence of Poisson mixture distribution in the PEWMA control charts. Through meticulously designed experiments, we explore different control parameter combinations and employ simulation to evaluate the process. Our graphs illustrate the performance of the PEWMA control chart, offering desired in-control ARL across parameter combinations. Finally, the performance of the PEWMA control chart is presented for the real process data of fastener production.
引用
收藏
页数:17
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