Affiliation:
1. Facultad de Ingeniería , Universidad del Magdalena , Santa Marta , Colombia
2. Escuela de Ciencias Básicas, Tecnología e Ingeniería , Universidad Nacional Abierta y a Distancia , Bogotá , Colombia
Abstract
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.
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Statistics, Probability and Uncertainty,Safety, Risk, Reliability and Quality,Statistics and Probability
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