Improved adaptive EWMA control chart for process location with applications in groundwater physicochemical parameters and glass manufacturing industry.
The adaptive exponentially weighted moving average (AEWMA) control charts are the advanced form of classical memory control charts used for efficiently monitoring small-to-large shifts in the process parameters (location and/or dispersion). These AEWMA control charts estimate the unknown shifts usin...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2022-01-01
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| Series: | PLoS ONE |
| Online Access: | https://doi.org/10.1371/journal.pone.0272584 |
| _version_ | 1811302510619525120 |
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| author | Muhammad Arslan Syed Masroor Anwar Showkat Ahmad Lone Zahid Rasheed Majid Khan Saddam Akbar Abbasi |
| author_facet | Muhammad Arslan Syed Masroor Anwar Showkat Ahmad Lone Zahid Rasheed Majid Khan Saddam Akbar Abbasi |
| author_sort | Muhammad Arslan |
| collection | DOAJ |
| description | The adaptive exponentially weighted moving average (AEWMA) control charts are the advanced form of classical memory control charts used for efficiently monitoring small-to-large shifts in the process parameters (location and/or dispersion). These AEWMA control charts estimate the unknown shifts using exponentially weighted moving average (EWMA) or cumulative sum (CUSUM) control charts statistics. The hybrid EWMA (HEWMA) control chart is preferred over classical memory control charts to detect early shifts in process parameters. So, this study presents a new auxiliary information-based (AIB) AEWMA (IAEWMAAIB) control chart for process location that estimates the unknown location shift using HEWMA statistic. The objective is to develop an unbiased location shift estimator using HEWMA statistic and then adaptively update the smoothing constant. The shift estimation using HEWMA statistic instead of EWMA or CUSUM statistics boosts the performance of the proposed IAEWMAAIB control chart. The Monte Carlo simulation technique is used to get the numerical results. Famous performance evaluation measures like average run length, extra quadratic loss, relative average run length, and performance comparison index are used to evaluate the performance of the proposed chart with existing counterparts. The comparison reveals the superiority of the proposed control chart. Finally, two real-life applications from the glass manufacturing industry and physicochemical parameters of groundwater are considered to show the proposed control chart's implementation procedure and dominance. |
| first_indexed | 2024-04-13T07:30:26Z |
| format | Article |
| id | doaj.art-a489b6ccd53b4a318e7c639dc3a61b23 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-04-13T07:30:26Z |
| publishDate | 2022-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-a489b6ccd53b4a318e7c639dc3a61b232022-12-22T02:56:22ZengPublic Library of Science (PLoS)PLoS ONE1932-62032022-01-01178e027258410.1371/journal.pone.0272584Improved adaptive EWMA control chart for process location with applications in groundwater physicochemical parameters and glass manufacturing industry.Muhammad ArslanSyed Masroor AnwarShowkat Ahmad LoneZahid RasheedMajid KhanSaddam Akbar AbbasiThe adaptive exponentially weighted moving average (AEWMA) control charts are the advanced form of classical memory control charts used for efficiently monitoring small-to-large shifts in the process parameters (location and/or dispersion). These AEWMA control charts estimate the unknown shifts using exponentially weighted moving average (EWMA) or cumulative sum (CUSUM) control charts statistics. The hybrid EWMA (HEWMA) control chart is preferred over classical memory control charts to detect early shifts in process parameters. So, this study presents a new auxiliary information-based (AIB) AEWMA (IAEWMAAIB) control chart for process location that estimates the unknown location shift using HEWMA statistic. The objective is to develop an unbiased location shift estimator using HEWMA statistic and then adaptively update the smoothing constant. The shift estimation using HEWMA statistic instead of EWMA or CUSUM statistics boosts the performance of the proposed IAEWMAAIB control chart. The Monte Carlo simulation technique is used to get the numerical results. Famous performance evaluation measures like average run length, extra quadratic loss, relative average run length, and performance comparison index are used to evaluate the performance of the proposed chart with existing counterparts. The comparison reveals the superiority of the proposed control chart. Finally, two real-life applications from the glass manufacturing industry and physicochemical parameters of groundwater are considered to show the proposed control chart's implementation procedure and dominance.https://doi.org/10.1371/journal.pone.0272584 |
| spellingShingle | Muhammad Arslan Syed Masroor Anwar Showkat Ahmad Lone Zahid Rasheed Majid Khan Saddam Akbar Abbasi Improved adaptive EWMA control chart for process location with applications in groundwater physicochemical parameters and glass manufacturing industry. PLoS ONE |
| title | Improved adaptive EWMA control chart for process location with applications in groundwater physicochemical parameters and glass manufacturing industry. |
| title_full | Improved adaptive EWMA control chart for process location with applications in groundwater physicochemical parameters and glass manufacturing industry. |
| title_fullStr | Improved adaptive EWMA control chart for process location with applications in groundwater physicochemical parameters and glass manufacturing industry. |
| title_full_unstemmed | Improved adaptive EWMA control chart for process location with applications in groundwater physicochemical parameters and glass manufacturing industry. |
| title_short | Improved adaptive EWMA control chart for process location with applications in groundwater physicochemical parameters and glass manufacturing industry. |
| title_sort | improved adaptive ewma control chart for process location with applications in groundwater physicochemical parameters and glass manufacturing industry |
| url | https://doi.org/10.1371/journal.pone.0272584 |
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