Advancing Quality Assurance In Manufacturing: A Weighted Exponential Distribution Control Chart For Enhanced Production Monitoring

Abstract

Over the last few decades, weighted distributions have received substantial attention from researchers due to their utility across a range of research fields. With an emphasis on the relevance of weighted distributions, a new control chart for a weighted exponentially distributed characteristic using an exponentially weighted moving average (EWMA) has been proposed in this manuscript. The average run length of both in-control and out-of-control processes has been derived. The efficiency of the proposed control chart has been compared with existing chart based on the unweighted exponential distribution in terms of Average Run Length (ARL) and the percentage decrease in ARL (ΔARL) using Monte Carlo Simulations. Furthermore, the proposed control chart has been applied to various real-life applications to highlight its applicability in industrial and manufacturing processes.