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Monitoring process mean and dispersion with one double generally weighted moving average control chart
Authors:Kashinath Chatterjee  Christos Koukouvinos  Angeliki Lappa
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
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.
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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