Multivariate Process Control Chart Pattern Classification Using Multi-Channel Deep Convolutional Neural Networks
Statistical process control (SPC) charts are commonly used to monitor quality characteristics in manufacturing processes. When monitoring two or more related quality characteristics simultaneously, multivariate <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" displ...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/15/3291 |
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| author | Chuen-Sheng Cheng Pei-Wen Chen Yu-Chin Hsieh Yu-Tang Wu |
| author_facet | Chuen-Sheng Cheng Pei-Wen Chen Yu-Chin Hsieh Yu-Tang Wu |
| author_sort | Chuen-Sheng Cheng |
| collection | DOAJ |
| description | Statistical process control (SPC) charts are commonly used to monitor quality characteristics in manufacturing processes. When monitoring two or more related quality characteristics simultaneously, multivariate <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>T</mi><mn>2</mn></msup></mrow></semantics></math></inline-formula> control charts are often employed. Like univariate control charts, control chart pattern recognition (CCPR) plays a crucial role in multivariate SPC. The presence of non-random patterns in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>T</mi><mn>2</mn></msup></mrow></semantics></math></inline-formula> control charts indicates that a process is influenced by one or more assignable causes and that corrective actions should be taken. In this study, we developed a deep learning-based classification model for recognizing control chart patterns in multivariate processes. To address the problem of the insufficient representation of one-dimensional (1D) data, we explore the advantages of using two-dimensional (2D) image data obtained from a threshold-free recurrence plot. A multi-channel deep convolutional neural network (MCDCNN) model was developed to incorporate both 1D and 2D representations of control chart data. This model was tested on multivariate processes with different covariance matrices and compared with other traditional algorithms. Moreover, the effects of imbalanced datasets and dataset size on classification performance were analyzed. Simulation studies revealed that the developed MCDCNN model outperforms other techniques in identifying multivariate non-random patterns. For the most significant one, our proposed MCDCNN method achieved a 10% improvement over traditional methods. The overall results suggest that the developed MCDCNN model can be beneficial for intelligent SPC. |
| first_indexed | 2024-03-11T00:22:24Z |
| format | Article |
| id | doaj.art-5df2a3ba76c94baeb325208c6ffa3331 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T00:22:24Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-5df2a3ba76c94baeb325208c6ffa33312023-11-18T23:14:41ZengMDPI AGMathematics2227-73902023-07-011115329110.3390/math11153291Multivariate Process Control Chart Pattern Classification Using Multi-Channel Deep Convolutional Neural NetworksChuen-Sheng Cheng0Pei-Wen Chen1Yu-Chin Hsieh2Yu-Tang Wu3Department of Industrial Engineering and Management, Yuan Ze University, No. 135, Yuan-Tung Road, Chung-Li District, Taoyuan City 32003, TaiwanDepartment of Industrial Engineering and Management, Yuan Ze University, No. 135, Yuan-Tung Road, Chung-Li District, Taoyuan City 32003, TaiwanDepartment of Industrial Engineering and Management, Yuan Ze University, No. 135, Yuan-Tung Road, Chung-Li District, Taoyuan City 32003, TaiwanDepartment of Industrial Engineering and Management, Yuan Ze University, No. 135, Yuan-Tung Road, Chung-Li District, Taoyuan City 32003, TaiwanStatistical process control (SPC) charts are commonly used to monitor quality characteristics in manufacturing processes. When monitoring two or more related quality characteristics simultaneously, multivariate <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>T</mi><mn>2</mn></msup></mrow></semantics></math></inline-formula> control charts are often employed. Like univariate control charts, control chart pattern recognition (CCPR) plays a crucial role in multivariate SPC. The presence of non-random patterns in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>T</mi><mn>2</mn></msup></mrow></semantics></math></inline-formula> control charts indicates that a process is influenced by one or more assignable causes and that corrective actions should be taken. In this study, we developed a deep learning-based classification model for recognizing control chart patterns in multivariate processes. To address the problem of the insufficient representation of one-dimensional (1D) data, we explore the advantages of using two-dimensional (2D) image data obtained from a threshold-free recurrence plot. A multi-channel deep convolutional neural network (MCDCNN) model was developed to incorporate both 1D and 2D representations of control chart data. This model was tested on multivariate processes with different covariance matrices and compared with other traditional algorithms. Moreover, the effects of imbalanced datasets and dataset size on classification performance were analyzed. Simulation studies revealed that the developed MCDCNN model outperforms other techniques in identifying multivariate non-random patterns. For the most significant one, our proposed MCDCNN method achieved a 10% improvement over traditional methods. The overall results suggest that the developed MCDCNN model can be beneficial for intelligent SPC.https://www.mdpi.com/2227-7390/11/15/3291statistical process controlmultivariate control chart patternMCDCNNrecurrence plot |
| spellingShingle | Chuen-Sheng Cheng Pei-Wen Chen Yu-Chin Hsieh Yu-Tang Wu Multivariate Process Control Chart Pattern Classification Using Multi-Channel Deep Convolutional Neural Networks Mathematics statistical process control multivariate control chart pattern MCDCNN recurrence plot |
| title | Multivariate Process Control Chart Pattern Classification Using Multi-Channel Deep Convolutional Neural Networks |
| title_full | Multivariate Process Control Chart Pattern Classification Using Multi-Channel Deep Convolutional Neural Networks |
| title_fullStr | Multivariate Process Control Chart Pattern Classification Using Multi-Channel Deep Convolutional Neural Networks |
| title_full_unstemmed | Multivariate Process Control Chart Pattern Classification Using Multi-Channel Deep Convolutional Neural Networks |
| title_short | Multivariate Process Control Chart Pattern Classification Using Multi-Channel Deep Convolutional Neural Networks |
| title_sort | multivariate process control chart pattern classification using multi channel deep convolutional neural networks |
| topic | statistical process control multivariate control chart pattern MCDCNN recurrence plot |
| url | https://www.mdpi.com/2227-7390/11/15/3291 |
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