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

Muñoz José Jorge (), Campuzano Manuel J. () and Deibe-Blanco Verónica ()
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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

Stochastics and Quality Control, 2023, vol. 38, issue 2, 79-93

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 ( ARL 1 \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 ARL 1 \mathrm{ARL}_{1} . The proposed TS-c-chart has lower ARL 1 \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.

Keywords: Control Charts; Attribute Control Charts; c-Control Chart; Triple Sampling; Average Run Length (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1515/eqc-2023-0012

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