Improved CEM–RBS control charts for monitoring the process mean using ranked–based sampling designs
نویسندگان
1 Department of Mathematics, College of Science, Sultan Qaboos University, Muscat, Oman.
2 Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran.
3 Department of Operations Management and Business Statistics, College of Economics and Political Science, Sultan Qaboos University, Muscat, Oman.
doi
10.24200/sci.2022.57495.5268چکیده
In this study, different Ranked-Based Sampling (RBS) schemes are used to design a sensitive control chart to monitor the small or moderate shifts in the process mean, and are named combined Exponentially Weighted Moving Average (EWMA) Moving Average (MA) RBS (CEM-RBS) control charts. The Average Run-Length (ARL) and the Standard Deviation of the Run-Length (SDRL) are computed through Monte Carlo (MC) simulation runs to evaluate the performance of the proposed charts in comparison with the existing charts such as MA, EWMA, EWMA-MA, and the EWMA under RBS control charts. It is proved through a comparative study that the proposed CEM–RBS charts indicate a significant improvement in the performance of the EWMA-MA chart by using the RBS concept. A real dataset-based example is also included to explain the concept in detail.