Combined EWMA-mixed EWMA CUSUM schemes for monitoring the process mean

Control charts are the most popular tools of statistical quality control to detect shifts in any operational process. Cumulative sum (CUSUM) and exponentially weighted moving average (EWMA) charts are used to detect small to moderate shifts, but both have their own limitations. Abbas et al. (2012) presented the mixed EWMA CUSUM (MEC) scheme, wherein he applied CUSUM chart on EWMA statistic. In this paper, we have proposed a combination of EWMA and MEC charts. The performance of the proposed chart is evaluated in terms of the average run length (ARL) and standard deviation of run length (SDRL) values. After comparing the proposed scheme with some existing schemes by ARL ratio, the results show that the performance of the proposed scheme is superior to other schemes.

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Publication Details

Journal
International Journal of Productivity and Quality Management
Published
2025-01-01
DOI
https://doi.org/10.1504/ijpqm.2025.148950
Primary Topic
Advanced Statistical Process Monitoring
Type
article
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article

Combined EWMA-mixed EWMA CUSUM schemes for monitoring the process mean

Vikas Saxena, Dushyant Tyagi, Himani Shonik
International Journal of Productivity and Quality Management
Advanced Statistical Process Monitoring
article

Combined EWMA-mixed EWMA CUSUM schemes for monitoring the process mean

Vikas Saxena, Dushyant Tyagi, Himani Shonik
article en

Abstract

Control charts are the most popular tools of statistical quality control to detect shifts in any operational process. Cumulative sum (CUSUM) and exponentially weighted moving average (EWMA) charts are used to detect small to moderate shifts, but both have their own limitations. Abbas et al. (2012) presented the mixed EWMA CUSUM (MEC) scheme, wherein he applied CUSUM chart on EWMA statistic. In this paper, we have proposed a combination of EWMA and MEC charts. The performance of the proposed chart is evaluated in terms of the average run length (ARL) and standard deviation of run length (SDRL) values. After comparing the proposed scheme with some existing schemes by ARL ratio, the results show that the performance of the proposed scheme is superior to other schemes.

International Journal of Productivity and Quality ManagementVol. 46(2)
Dr. Shakuntala Misra National Rehabilitation University (IN), National Institute of Food Technology Entrepreneurship and Management (IN)
Openalex Percentile: Top 73%
Advanced Statistical Process Monitoring
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Combined EWMA-mixed EWMA CUSUM schemes for monitoring the process mean — Vikas Saxena, Dushyant Tyagi, et al. · International Journal of Productivity and Quality Management (2025) | TGRS Research Map | TGRS