WSEAS Transactions on Business and Economics
Print ISSN: 1109-9526, E-ISSN: 2224-2899
Volume 22, 2025
Study on Sensitivity of EWMA and GWMA Control Charts for Detecting Shift with Fast Initial Response
Authors: ,
Abstract: The objective of this study is to assess and compare the effectiveness of control charts that employ Exponentially Weighted Moving Average (EWMA), Generally Weighted Moving Average (GWMA), EWMA with Fast Initial Response (FIR-EWMA), and GWMA with Fast Initial Response (FIR-GWMA) control charts when the observation is zero-truncated Poisson distributed (ZTP). In this study, the Average Run Length (ARL) and the Standard Deviation Run Length (SDRL) will be used as performance comparison criteria for control charts. The Monte Carlo simulation method will be employed to estimate the ARL and SDRL for the out-of-control process. The analysis results indicated that the FIR-EWMA control chart is more effective at detecting changes when comparing the performance of the EWMA and FIR-EWMA control charts. Similarly, the results were consistent when comparing the performance of the GWMA and FIR-GWMA control charts. Likewise, the results of the comparison between the FIR-EWMA and FIR-GWMA control charts demonstrated that the FIR-GWMA control chart is more effective in detecting mean changes than the FIR-EWMA control chart for varying b values in terms of performance efficiency. This study suggests that the control chart's efficacy can be improved by enhancing the Fast Initial Response function.
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Keywords: Average Run Length, Fast Initial Response, Generally Exponentially Weighted Moving Average, Zero-Truncated Poisson, Standard Deviation Run Length, Monte Carlo simulation
Pages: 157-167
DOI: 10.37394/23207.2025.22.15