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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 ofARL1\mathrm{ARL}_{1}. The proposed TS-c-chart has lowerARL1\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.

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