Double-sampling control charts for attributes

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.

Keywords:

• double sampling
• np charts
• statistical design
• EWMA
• CUSUM
• variable sample size

Acknowledgements

The financial support of this joint work was provided in part by CNPq (the Brazilian Council for Scientific and Technological Development). Its assistance is gratefully acknowledged. The authors are very grateful to the anonymous referees for valuable suggestions and comments, which led to significant improvement of this paper.