M. B. Saritha
Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Chengalpattu, 603203, Tamil Nadu, India.

R. Varadharajan
Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Chengalpattu, 603203, Tamil Nadu, India.

DOI https://doi.org/10.33889/IJMEMS.2024.9.4.043

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Abstract

The Multivariate Exponentially Weighted Moving Average (MEWMA) control chart is an effective tool for monitoring small shifts in the mean vector of multiple correlated variables over time. The traditional MEWMA control charts are not appropriate when dealing with data that has indeterminacy. For the purpose of dealing with indeterminate data, we present a novel Neutrosophic MEWMA Control Chart that incorporates bootstrap control limits in this research. A simulation study is conducted to compare the performance of the proposed method with the neutrosophic Hotelling T2 control chart. The study considered Alarm Rate (AR) and Average Run Length (ARL) have been used as the performance evaluation metrics. Finally, an illustrative example from the chemical industry was used to demonstrate the application of the proposed chart. It is considered that the proposed chart can be effectively applied to a wide range of manufacturing processes, providing significant benefits in process monitoring and control.

Keywords- SPC, Multivariate control charts, Hotelling's T2 control chart, MEWMA, Neutrosophic logic, AR, ARL.

Citation

Saritha, M. B. & Varadharajan, R. (2024). Multivariate Exponentially Weighted Moving Average Control Chart under Neutrosophic Environment: A Bootstrap Approach. International Journal of Mathematical, Engineering and Management Sciences, 9(4), 835-843. https://doi.org/10.33889/IJMEMS.2024.9.4.043.