Monitoring process mean and dispersion with one double generally weighted moving average control chart |
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Authors: | Kashinath Chatterjee Christos Koukouvinos Angeliki Lappa |
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Affiliation: | aDepartment of Population Health Sciences, Division of Biostatistics and Data Science, Augusta University, Augusta, Georgia;bDepartment of Mathematics, National Technical University of Athens, Zografou, Athens, Greece |
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Abstract: | ![]() Control charts are widely known quality tools used to detect and control industrial process deviations in Statistical Process Control. In the current paper, we propose a new single memory-type control chart, called the maximum double generally weighted moving average chart (referred as Max-DGWMA), that simultaneously detects shifts in the process mean and/or process dispersion. The run length performance of the proposed Max-DGWMA chart is compared with that of the Max-EWMA, Max-DEWMA, Max-GWMA and SS-DGWMA charts, using time-varying control limits, through Monte–Carlo simulations. The comparisons reveal that the proposed chart is more efficient than the Max-EWMA, Max-DEWMA and Max-GWMA charts, while it is comparable with the SS-DGWMA chart. An automotive industry application is presented in order to implement the Max-DGWMA chart. The goal is to establish statistical control of the manufacturing process of the automobile engine piston rings. The source of the out-of-control signals is interpreted and the efficiency of the proposed chart in detecting shifts faster is evident. |
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Keywords: | Average run length (ARL) standard deviation of run length (SDRL) Max-DGWMA chart Max-EWMA chart Max-DEWMA chart Max-GWMA chart |
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