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Design and Optimization of c-Control Chart Using a Triple Sampling Scheme

Author

Listed:
  • Muñoz José Jorge

    (Facultad de Ingeniería, Universidad del Magdalena, Santa Marta, Colombia)

  • Campuzano Manuel J.

    (Facultad de Ingeniería, Universidad del Magdalena, Santa Marta, Colombia)

  • Deibe-Blanco Verónica

    (Escuela de Ciencias Básicas, Tecnología e Ingeniería, Universidad Nacional Abierta y a Distancia, Bogotá, Colombia)

Abstract

In this paper, a c-control chart using a triple sampling scheme (TS-c) is studied. The chart design, procedure, and a bi-objective optimization model are given to optimize the TS-c-chart. The Average Run Length for in-control and out-of-control (ARL1\mathrm{ARL}_{1}), and Average Sample Number metrics are calculated. A Comparison among TS-c, Fixed parameters c (FP-c), VSS-c, EWMA-c, and Double Sampling c (DS-c) control charts are carried out in terms of ARL1\mathrm{ARL}_{1}. The proposed TS-c-chart has lower ARL1\mathrm{ARL}_{1} values for detecting small and moderate shifts in the mean number of non-conformities in control compared with FP-c, VSS-c, EWMA-c, and DS-c.

Suggested Citation

  • Muñoz José Jorge & Campuzano Manuel J. & Deibe-Blanco Verónica, 2023. "Design and Optimization of c-Control Chart Using a Triple Sampling Scheme," Stochastics and Quality Control, De Gruyter, vol. 38(2), pages 79-93, December.
    • Handle: RePEc:bpj:ecqcon:v:38:y:2023:i:2:p:79-93:n:3
    DOI: 10.1515/eqc-2023-0012
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