Monitoring variability in complex manufacturing process: data analysis viewpoint with application

Djauhari, Maman Abdurachman and Mohd Asrah, Norhaidah and Irianto, Irianto and Ibrahim, Noor Akma (2019) Monitoring variability in complex manufacturing process: data analysis viewpoint with application. International Journal of Supply Chain Management, 8 (2). pp. 1170-1177. ISSN 2051-3771

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To relate the control limits of Shewhart-type chart to the p-value, the control charting techniques were constructed based on statistical inference scheme. However, in daily practice of complex process variability (CPV) monitoring operation, these limits have nothing to do with the p-value. We cannot put any number to p. Instead, p is just read as “most probably”. These words mean that in practice we are finally working under data analysis scheme instead. For this reason, in this paper we introduce the application of STATIS in CPV monitoring operation. It is a data analysis method to label the sample(s) where anomalous covariance structure occurs. This method is algebraic in nature and dominated by principal component analysis (PCA) principles. The relative position of a covariance matrix among others is visually presented along the first two eigenvalues of the so-called “scalar product matrix among covariance matrices”. Its strength will be illustrated by using a real industrial example and the results, compared with those given by the current methods, are very promising. Additionally, root causes analysis is also provided. However, since STATIS is a PCA-like, it does not provide any control chart, i.e., the history of process performance. It is to label the anomalous sample(s). To the knowledge of the authors, the application of STATIS in complex statistical process control is an unprecedented. Thus, it will enrich the literature of this field.

Item Type: Article
Uncontrolled Keywords: conjoint analysis; Escoufier’s operator; generalized variance; Hilbert-Schmidt space; vector variance.
Subjects: T Technology > T Technology (General)
T Technology > TS Manufactures > TS155-194 Production management. Operations management
Divisions: Faculty of Applied Science and Technology > Department of Mathematics and Statistics
Depositing User: Miss Afiqah Faiqah Mohd Hafiz
Date Deposited: 07 Dec 2021 03:00
Last Modified: 07 Dec 2021 03:00

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