Abstract | ||
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The cumulative sum (CUSUM) and exponentially weighted moving average (EWMA) control charts have been widely accepted because of their fantastic speed in identifying small-to-moderate unusual variations in the process parameter(s). Recently, a new CUSUM chart has been proposed that uses the EWMA statistic, called the CS-EWMA chart, for monitoring the process variability. On similar lines, in order to further improve the detection ability of the CS-EWMA chart, we propose a CUSUM chart using the generally weighted moving average (GWMA) statistic, named the GWMA-CUSUM chart, for monitoring the process dispersion. Monte Carlo simulations are used to compute the run length profiles of the GWMA-CUSUM chart. On the basis of the run length comparisons, it turns out that the GWMA-CUSUM chart outperforms the CUSUM and CS-EWMA charts when identifying small variations in the process variability. A simulated dataset is also used to explain the working and implementation of the CS-EWMA and GWMA-CUSUM charts. |
Year | DOI | Venue |
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2018 | 10.1002/qre.2304 | QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL |
Keywords | Field | DocType |
average run length,control chart,cumulative sum,exponentially weighted moving average,process dispersion,statistical process control | CUSUM,Dispersion (optics),Average run length,Exponentially weighted moving average,Control chart,Statistical process control,Engineering,Statistics | Journal |
Volume | Issue | ISSN |
34.0 | 6.0 | 0748-8017 |
Citations | PageRank | References |
0 | 0.34 | 11 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Rizwan Ali | 1 | 0 | 0.34 |
Abdul Haq | 2 | 63 | 18.42 |