Design of an EWMA control chart by adaptation of smoothing constant based on a function of estimated shift
Abstract This study introduces a novel Adaptive EWMA (AEWMA) control chart designed to monitor the mean of a normally distributed process with enhanced responsiveness. The proposed methodology dynamically adjusts the smoothing constant based on a proposed continuous function of the estimated mean sh...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-07-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-09735-z |
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| author | Hadeel AlQadi Walid Abdelfattah Tahir Abbas Abdullah Ali H. Ahmadini Amani Idris Ahmed Sayed Bakhtiyar Ahmad |
| author_facet | Hadeel AlQadi Walid Abdelfattah Tahir Abbas Abdullah Ali H. Ahmadini Amani Idris Ahmed Sayed Bakhtiyar Ahmad |
| author_sort | Hadeel AlQadi |
| collection | DOAJ |
| description | Abstract This study introduces a novel Adaptive EWMA (AEWMA) control chart designed to monitor the mean of a normally distributed process with enhanced responsiveness. The proposed methodology dynamically adjusts the smoothing constant based on a proposed continuous function of the estimated mean shift derived from the EWMA statistic. The Monte Carlo simulations are conducted to assess the performance of the AEWMA chart across various magnitudes of process mean shifts, using run-length profiles as the primary evaluation metric. The results indicate that the AEWMA chart outperforms traditional methods in terms of detection efficiency. To demonstrate its practical applicability, the AEWMA chart is applied to a real-world manufacturing dataset, specifically analyzing the flow width resistance of substrates. The findings highlight the efficiency of the proposed chart, making it a valuable tool for improving process monitoring and quality control in industrial environments. |
| format | Article |
| id | doaj-art-724da7c9a77743bd917ee593f8076c95 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-724da7c9a77743bd917ee593f8076c952025-08-20T04:02:45ZengNature PortfolioScientific Reports2045-23222025-07-0115111210.1038/s41598-025-09735-zDesign of an EWMA control chart by adaptation of smoothing constant based on a function of estimated shiftHadeel AlQadi0Walid Abdelfattah1Tahir Abbas2Abdullah Ali H. Ahmadini3Amani Idris Ahmed Sayed4Bakhtiyar Ahmad5Department of Mathematics, College of Science, Jazan UniversityDepartment of Mathematics, College of Science, Northern Border UniversityDepartment of Mathematics, College of Sciences, University of SharjahDepartment of Mathematics, College of Science, Jazan UniversityDepartment of Mathematics, College of Science, Jazan UniversityHigher Education Department AfghanistanAbstract This study introduces a novel Adaptive EWMA (AEWMA) control chart designed to monitor the mean of a normally distributed process with enhanced responsiveness. The proposed methodology dynamically adjusts the smoothing constant based on a proposed continuous function of the estimated mean shift derived from the EWMA statistic. The Monte Carlo simulations are conducted to assess the performance of the AEWMA chart across various magnitudes of process mean shifts, using run-length profiles as the primary evaluation metric. The results indicate that the AEWMA chart outperforms traditional methods in terms of detection efficiency. To demonstrate its practical applicability, the AEWMA chart is applied to a real-world manufacturing dataset, specifically analyzing the flow width resistance of substrates. The findings highlight the efficiency of the proposed chart, making it a valuable tool for improving process monitoring and quality control in industrial environments.https://doi.org/10.1038/s41598-025-09735-zStatistical process controlControl chartAverage run lengthAdaptive control chart |
| spellingShingle | Hadeel AlQadi Walid Abdelfattah Tahir Abbas Abdullah Ali H. Ahmadini Amani Idris Ahmed Sayed Bakhtiyar Ahmad Design of an EWMA control chart by adaptation of smoothing constant based on a function of estimated shift Scientific Reports Statistical process control Control chart Average run length Adaptive control chart |
| title | Design of an EWMA control chart by adaptation of smoothing constant based on a function of estimated shift |
| title_full | Design of an EWMA control chart by adaptation of smoothing constant based on a function of estimated shift |
| title_fullStr | Design of an EWMA control chart by adaptation of smoothing constant based on a function of estimated shift |
| title_full_unstemmed | Design of an EWMA control chart by adaptation of smoothing constant based on a function of estimated shift |
| title_short | Design of an EWMA control chart by adaptation of smoothing constant based on a function of estimated shift |
| title_sort | design of an ewma control chart by adaptation of smoothing constant based on a function of estimated shift |
| topic | Statistical process control Control chart Average run length Adaptive control chart |
| url | https://doi.org/10.1038/s41598-025-09735-z |
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