Explicit Formulas of Average Run Length for Mixed Moving Average – Exponentially Weighted Moving Average Control Chart
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Abstract
The objective of this research was to propose an estimation method of Average Run Length (ARL) via explicit formulas for mixed Moving Average - Exponentially Weighted Moving Average (MA-EWMA) control chart. The performance detection of MA-EWMA control charts measured by the Average Run Length (ARL) was compared with Moving Average (MA) chart, Exponentially Weighted Moving Average (EWMA) chart, and Shewhart chart. The in control Average Run Length (ARL0) was given to 370 and the processes possessed normal, exponential, gamma and Laplace distributions while the ARLs were estimated from the explicit formulas. It was found that the performance of MA-EWMA control chart performed more efficiently in detecting process dispersion than other control charts for all magnitudes of λ = 0.01
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