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Production Engineering

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24.08.2021 | Quality Assurance

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

verfasst von: Sandra García-Bustos, Andrés Plaza, Nadia Cárdenas-Escobar

Erschienen in: Production Engineering | Ausgabe 1/2022

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Abstract

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.

Vorheriger Artikel Application of interpolation methods for the determination of position-dependent frequency response functions for the simulation of 5-axis milling processes

Nächster Artikel Performance measurement for offline inspections under variable interactions and inspection errors in low-volume production

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Titel: An optimal multivariate control chart for correlated Poisson variables using multiple dependent state sampling
verfasst von: Sandra García-Bustos
Andrés Plaza
Nadia Cárdenas-Escobar
Publikationsdatum: 24.08.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Production Engineering / Ausgabe 1/2022
Print ISSN: 0944-6524
Elektronische ISSN: 1863-7353
DOI: https://doi.org/10.1007/s11740-021-01074-y

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