An adaptive EWMA scheme-based CUSUM accumulation error for efficient monitoring of process location
The examination of product characteristics using a statistical tool is an important step in a manufacturing environment to ensure product quality. Several methods are employed for maintaining product quality assurance. Quality control charts, which utilize statistical methods, are normally used to d...
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| Format: | Article |
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John Wiley and Sons Ltd
2017
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| author | Zaman, B. Lee, M. H. Riaz, M. Abujiya, M. R. |
| author_facet | Zaman, B. Lee, M. H. Riaz, M. Abujiya, M. R. |
| author_sort | Zaman, B. |
| collection | ePrints |
| description | The examination of product characteristics using a statistical tool is an important step in a manufacturing environment to ensure product quality. Several methods are employed for maintaining product quality assurance. Quality control charts, which utilize statistical methods, are normally used to detect special causes. Shewhart control charts are popular; their only limitation is that they are effective in handling only large shifts. For handling small shifts, the cumulative sum (CUSUM) and the exponential weighted moving average (EWMA) are more practical. For handling both small and large shifts, adaptive control charts are used. In this study, we proposed a new adaptive EWMA scheme. This scheme is based on CUSUM accumulation error for detection of wide range of shifts in the process location. The CUSUM features in the proposed scheme help with identification of prior shifts. The proposed scheme uses Huber and Tukey bisquare functions for an efficient shift detection. We have used average run length (ARL) as performance indicator for comparison, and our proposed scheme outperformed some of the existing schemes. An example that uses real-life data is also provided to demonstrate the implementation of the proposed scheme. |
| first_indexed | 2024-03-05T20:10:56Z |
| format | Article |
| id | utm.eprints-75715 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T20:10:56Z |
| publishDate | 2017 |
| publisher | John Wiley and Sons Ltd |
| record_format | dspace |
| spelling | utm.eprints-757152018-04-27T01:47:36Z http://eprints.utm.my/75715/ An adaptive EWMA scheme-based CUSUM accumulation error for efficient monitoring of process location Zaman, B. Lee, M. H. Riaz, M. Abujiya, M. R. QA Mathematics The examination of product characteristics using a statistical tool is an important step in a manufacturing environment to ensure product quality. Several methods are employed for maintaining product quality assurance. Quality control charts, which utilize statistical methods, are normally used to detect special causes. Shewhart control charts are popular; their only limitation is that they are effective in handling only large shifts. For handling small shifts, the cumulative sum (CUSUM) and the exponential weighted moving average (EWMA) are more practical. For handling both small and large shifts, adaptive control charts are used. In this study, we proposed a new adaptive EWMA scheme. This scheme is based on CUSUM accumulation error for detection of wide range of shifts in the process location. The CUSUM features in the proposed scheme help with identification of prior shifts. The proposed scheme uses Huber and Tukey bisquare functions for an efficient shift detection. We have used average run length (ARL) as performance indicator for comparison, and our proposed scheme outperformed some of the existing schemes. An example that uses real-life data is also provided to demonstrate the implementation of the proposed scheme. John Wiley and Sons Ltd 2017 Article PeerReviewed Zaman, B. and Lee, M. H. and Riaz, M. and Abujiya, M. R. (2017) An adaptive EWMA scheme-based CUSUM accumulation error for efficient monitoring of process location. Quality and Reliability Engineering International, 33 (8). pp. 2463-2482. ISSN 0748-8017 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85035083482&doi=10.1002%2fqre.2203&partnerID=40&md5=115e0fbb65021eb27234c34669f04ca1 |
| spellingShingle | QA Mathematics Zaman, B. Lee, M. H. Riaz, M. Abujiya, M. R. An adaptive EWMA scheme-based CUSUM accumulation error for efficient monitoring of process location |
| title | An adaptive EWMA scheme-based CUSUM accumulation error for efficient monitoring of process location |
| title_full | An adaptive EWMA scheme-based CUSUM accumulation error for efficient monitoring of process location |
| title_fullStr | An adaptive EWMA scheme-based CUSUM accumulation error for efficient monitoring of process location |
| title_full_unstemmed | An adaptive EWMA scheme-based CUSUM accumulation error for efficient monitoring of process location |
| title_short | An adaptive EWMA scheme-based CUSUM accumulation error for efficient monitoring of process location |
| title_sort | adaptive ewma scheme based cusum accumulation error for efficient monitoring of process location |
| topic | QA Mathematics |
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