SVDD control charts based on MEWMA technique for monitoring Compositional Data

Thi Thuy Van Nguyen;Heuchenne, Cédric;Kim Duc Tran;Guillaume Tartare;Kim Phuc Tran
(2025) Computers & Industrial Engineering — Vol. 201, n° 1, p. 110865 (2025)

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Authors
  • Thi Thuy Van NguyenHEC Liège - Management School, University of Liège, 4000, Liège, Belgium
    Author
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  • Kim Duc TranENSAIT, ULR 2461 - GEMTEX - Génie et Matériaux Textiles, Univ. Lille, F-59000, Lille, France
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  • Guillaume TartareENSAIT, ULR 2461 - GEMTEX - Génie et Matériaux Textiles, Univ. Lille, F-59000, Lille, France
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  • Kim Phuc TranENSAIT, ULR 2461 - GEMTEX - Génie et Matériaux Textiles, Univ. Lille, F-59000, Lille, France
    Author
Abstract
Monitoring compositional data (CoDa) using control charts has become increasingly important in Statistical Process Control (SPC). This study introduces two approaches for CoDa monitoring, utilizing support vector data description (SVDD) control charts in conjunction with the multivariate exponentially weighted moving average (MEWMA) technique, specifically focusing on Phase II monitoring processes. The proposed approaches use two transformation methods: the Dirichlet density transformation and the isometric log-ratio transformation. We evaluate the effectiveness of the proposed SVDD control charts by computing the out-of-control zero-state Average Run Length () using simulated data. Our results demonstrate that SVDD control charts detect anomalies more effectively than the traditional MEWMA control chart across various scenarios in monitoring CoDa. These findings contribute to the advancement of SPC and offer valuable insights for practitioners involved in CoDa monitoring across diverse applications.
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Citations

Thi Thuy Van Nguyen, Heuchenne, C., Kim Duc Tran, Guillaume Tartare, & Kim Phuc Tran. (2025). SVDD control charts based on MEWMA technique for monitoring Compositional Data. Computers & Industrial Engineering, 201(1), 110865. https://doi.org/10.1016/j.cie.2025.110865 (Original work published 2025)