An improved quality control chart to monitor the mean based on ranked sets

Abstract: In this study, we considered the design and performance of control charts using neoteric ranked set sampling (NRSS) in monitoring normal distributed processes. NRSS is a recently proposed sampling design, based on the traditional ranked set sampling (RSS). We evaluated NRSS control charts by average run length (ARL), based on Monte Carlo simulation results. NRSS control charts performed the best, compared to RSS and some of its extensions, in most simulated scenarios. The impact of imperfect ranking was also evaluated. An application on strength concrete data serves as an illustration of the proposed method.