On developing sensitive nonparametric mixed control charts with application to manufacturing industry

Abstract

AbstractControl charts are designed under the normality assumption of the quality characteristic of the process. However, the normality assumption rarely holds in practice. In non‐normal conditions, parametric charts tend to display more false alarm rates and invalid out‐of‐control comparisons. The exponentially weighted moving average chart is a frequently used memory‐type control chart for monitoring the process target that only performs effectively under the smoothing parameter's small choices. This study proposes a nonparametric mixed exponentially weighted moving average‐progressive mean chart based on sign statistic (NPMEPSN) under simple and ranked set sampling schemes to address this said drawback. Normal and non‐normal distributions are included in this study to observe the proposed chart's in‐control behavior and out‐of‐control efficacy. The prominent feature of the proposed schemes is that it works efficiently in detecting small and persistent shifts in the process location corresponding to the given values of the smoothing parameter. The proposed scheme is also tested under the ranked set sampling scheme to enhance the NPMEPSN chart's performance (hereafter named “NPMEPRSN”). The performance of the proposed charts is investigated through simulations using run‐length profiles. The proposed schemes were seen to outperform other alternatives, specifically under the ranked set sampling scheme. A real data‐set related to the diameter of a piston ring is included as a demonstration of the proposal.