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Double-sampling control charts for attributes

Author

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  • Aurelia De Araujo Rodrigues
  • Eugenio Kahn Epprecht
  • Maysa Sacramento De Magalhaes

Abstract

In this article, we propose a double-sampling (DS) np control chart. We assume that the time interval between samples is fixed. The choice of the design parameters of the proposed chart and also comparisons between charts are based on statistical properties, such as the average number of samples until a signal. The optimal design parameters of the proposed control chart are obtained. During the optimization procedure, constraints are imposed on the in-control average sample size and on the in-control average run length. In this way, required statistical properties can be assured. Varying some input parameters, the proposed DS np chart is compared with the single-sampling np chart, variable sample size np chart, CUSUM np and EWMA np charts. The comparisons are carried out considering the optimal design for each chart. For the ranges of parameters considered, the DS scheme is the fastest one for the detection of increases of 100% or more in the fraction non-conforming and, moreover, the DS np chart is easy to operate.

Suggested Citation

  • Aurelia De Araujo Rodrigues & Eugenio Kahn Epprecht & Maysa Sacramento De Magalhaes, 2011. "Double-sampling control charts for attributes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(1), pages 87-112.
    • Handle: RePEc:taf:japsta:v:38:y:2011:i:1:p:87-112
    DOI: 10.1080/02664760903266007
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    Citations

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    Cited by:

    1. Bersimis, Sotiris & Koutras, Markos V. & Maravelakis, Petros E., 2014. "A compound control chart for monitoring and controlling high quality processes," European Journal of Operational Research, Elsevier, vol. 233(3), pages 595-603.
    2. Epprecht, Eugenio K. & Aparisi, Francisco & Ruiz, Omar & Veiga, Álvaro, 2013. "Reducing sampling costs in multivariate SPC with a double-dimension T2 control chart," International Journal of Production Economics, Elsevier, vol. 144(1), pages 90-104.
    3. Moi Hua Tuh & Cynthia Mui Lian Kon & Hong Siang Chua & Man Fai Lau & Yee Hui Robin Chang, 2023. "Evaluating the Performance of Synthetic Double Sampling np Chart Based on Expected Median Run Length," Mathematics, MDPI, vol. 11(3), pages 1-23, January.

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