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- Title
Capability Process on a Two-Sided Extended EWMA Control Chart for Moving Average with Exogenous Factors Model.
- Authors
Areepong, Yupaporn; Sukparungsee, Saowanit
- Abstract
Extended Exponentially Weighted Moving Average (Extended EWMA) control chart was developed to detect small changes and effectively detect changes quickly, especially with correlated data. Average Run Length (ARL) is a crucial feature measure used to measure the performance of the control chart. This research presents explicit formulas for in-control ARL (ARL0) and out-of-control ARL (ARL1) for a two-sided Extended EWMA control chart for moving average with exogenous factors (MAX) model. In addition, the results of the ARL obtained by the explicit formula were checked against the ARL calculated from the numerical integral equation (NIE) method. The results showed that both methods showed very consistent ARL values. The performance of the Extended EWMA control chart was compared with Exponentially Weighted Moving Average (EWMA) and Cumulative Sum (CUSUM) control charts. The performance comparison showed that the Extended EWMA control chart outperformed because of the lowest ARL1 at each change level. Crude palm oil data prices were applied to the control charts to illustrate their effectiveness in detecting changes.
- Subjects
ASSOCIATION of Research Libraries; PROCESS capability; QUALITY control charts; MOVING average process; CUSUM technique; INTEGRAL equations
- Publication
IAENG International Journal of Applied Mathematics, 2023, Vol 53, Issue 3, p972
- ISSN
1992-9978
- Publication type
Article