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An enhanced approach for the progressive mean control charts: A discussion and comparative analysis
Author(s) -
Riaz Muhammad,
Abid Muhammad,
Abbas Zameer,
Nazir Hafiz Zafar
Publication year - 2021
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2733
Subject(s) - control chart , statistic , chart , statistical process control , variance (accounting) , computer science , statistics , shewhart individuals control chart , control limits , sensitivity (control systems) , data mining , process (computing) , mathematics , ewma chart , engineering , accounting , electronic engineering , business , operating system
Recently, a new double progressive mean (DPM) control chart has been proposed in the literature of statistical process control. In the said proposal, an important term is missing in the variance expression of the DPM statistic that affects the detection ability of the proposed chart. In this study, we have derived and provided the correct version of the said variance along with its corresponding control limits. The run length profiles of the DPM chart are investigated, and the results are updated for the new version of the limits. Moreover, a sensitivity analysis between DPM and progressive mean charts based on the different choices of the design parameter is also included in this study. It is revealed that the revised version offers even more efficient outcomes than the previous ones. In addition, a real dataset application is also presented for practical considerations of the refined version.