Triple exponentially weighted moving average control chart with measurement error

Jing Wang; Muhammad Arslan; Afshan Riaz; Showkat Ahmad Lone; Nevine M Gunaime

doi:10.1038/s41598-023-41761-7

Triple exponentially weighted moving average control chart with measurement error

Sci Rep. 2023 Sep 7;13(1):14760. doi: 10.1038/s41598-023-41761-7.

Authors

Jing Wang¹, Muhammad Arslan², Afshan Riaz³, Showkat Ahmad Lone⁴, Nevine M Gunaime⁴

Affiliations

¹ Taiyuan Normal University, Jianzhong, China.
² Jiangsu University, and Institute of Southern Punjab, Multan, Pakistan. arslanma76172@gmail.com.
³ University of Sargodha, Sargodha Punjab, Pakistan.
⁴ Sudia Electronic University, Riyadh, Saudi Arabia.

Abstract

Measurement error (M.E) can have a substantial impact on quality control applications, diminishing the sensitivity to detect changes in the mean or variance of quality characteristics. To monitor shifts in process mean and dispersion, Exponentially Weighted Moving Average (EWMA) and Cumulative Sum (CUSUM) control charts are commonly employed. In our research, we investigated the influence of M.E on the Triple Exponentially Weighted Moving Average (TEWMA) control chart. We assessed the performance of the control chart using Average Run Length (ARL) as the evaluation metric. To compute the ARL properties, we adopted the Monte-Carlo simulation method. A comparison section has been made to check the performance efficiency of the control chart with the existing EWMA control chart. The implementation of a control chart on a real data set is also presented.