Nonparametric adaptive cumulative sum charting scheme for monitoring process location

For effective monitoring of the range of sustainable changes in the process median, a nonparametric adaptive cumulative sum signed-rank (NPACUSUM-SR) control chart has been suggested in this study. Through the use of Monte Carlo simulation, the numerical analysis of the suggested NPACUSUM-SR scheme has been calculated for zero and steady states. Run length (RL) profiles have been used to explore and compare the proposed NPACUSUM-SR chart's in-control resilience under various symmetrical heavy-tailed, light-tailed, and contaminated normal distributions. The suggested NPACUSUM-SR chart has undergone a thorough investigation of the competition using Wilcoxon signed-rank statistics and sign statistics under steady-state and zero-state conditions. The comparison shows that the suggested NPACUSUM-SR design is superior to its competitors, especially when considering steady-state performance over a wide range of shifts. This study examines the viability of the suggested design through a manufacturing-related application.