Enhancing Average Run Length Efficiency of the Exponentially Weighted Moving Average Control Chart under the SAR(1)L Model with Quadratic Trend
5
Issued Date
2025-05-01
Resource Type
eISSN
2289599X
Scopus ID
2-s2.0-105008432101
Journal Title
Malaysian Journal of Fundamental and Applied Sciences
Volume
21
Issue
3
Start Page
2174
End Page
2193
Rights Holder(s)
SCOPUS
Bibliographic Citation
Malaysian Journal of Fundamental and Applied Sciences Vol.21 No.3 (2025) , 2174-2193
Suggested Citation
Polyeam D., Phanyaem S. Enhancing Average Run Length Efficiency of the Exponentially Weighted Moving Average Control Chart under the SAR(1)L Model with Quadratic Trend. Malaysian Journal of Fundamental and Applied Sciences Vol.21 No.3 (2025) , 2174-2193. 2193. doi:10.11113/mjfas.v21n3.4290 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/110929
Title
Enhancing Average Run Length Efficiency of the Exponentially Weighted Moving Average Control Chart under the SAR(1)L Model with Quadratic Trend
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Author's Affiliation
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Abstract
This study proposes an explicit formula for finding the Average Run Length (ARL) of Exponentially Weighted Moving Average (EWMA) control charts when applied to seasonal autoregressive processes with a quadratic trend. The ARL values derived from the proposed explicit formula were evaluated for accuracy by comparing them with results from the numerical integral equation (NIE) approach utilizing the Midpoint rule. These methods were assessed using real-world applications in the medical field, along with comprehensive simulations. The results demonstrate that the proposed explicit formula and the NIE method closely align in terms of accuracy, with the explicit formula significantly enhancing computational efficiency compared to the NIE method. These findings suggest that the explicit formula is an effective tool for enhancing control chart performance across multiple disciplines.