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

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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.

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Authors and Affiliations

  1. Escuela Superior Politécnica del Litoral, Facultad de Ciencias Naturales y Matemáticas, Km 30.5 Via Perimetral, Guayaquil, Ecuador

    Sandra García-Bustos, Andrés Plaza & Nadia Cárdenas-Escobar

Authors
  1. Sandra García-Bustos
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  2. Andrés Plaza
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  3. Nadia Cárdenas-Escobar
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Correspondence to Sandra García-Bustos.

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García-Bustos, S., Plaza, A. & Cárdenas-Escobar, N. An optimal multivariate control chart for correlated Poisson variables using multiple dependent state sampling. Prod. Eng. Res. Devel. 16, 145–155 (2022). https://doi.org/10.1007/s11740-021-01074-y

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