An optimal multivariate control chart for correlated Poisson variables using multiple dependent state sampling

被引：0
作者：
Sandra García-Bustos
Andrés Plaza
Nadia Cárdenas-Escobar
机构：
[1] Escuela Superior Politécnica del Litoral,
[2] Facultad de Ciencias Naturales y Matemáticas,undefined
来源：
Production Engineering | 2022年 / 16卷
关键词：
Multivariate control chart; Multiple dependent state; Linear combination; Holgate’s model; Average run length; Genetic algorithm;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article we propose a control chart to monitor correlated Poisson variables, which uses a statistic based on the linear combination of Poisson variables considering the methodology of sampling called Multiple Dependent State. In order to analyse the performance of this chart, a friendly software has been developed, which finds the best parameters to optimise the out-of-control average run length (ARL) for a shift that the practitioner wishes to detect as quickly as possible, restricted to a fixed value of in-control ARL. Additionally, some scenarios have been considered in the comparison of performance and a sensitivity analysis was carried out. The results show that the MDSLCP chart has better performance than the LCP chart.
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收藏
页码：145 / 155
页数：10
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