10–14 Sept 2023
Europe/Madrid timezone

Scalar-On-Function Regression Control Chart Based on a Functional Neural Network

13 Sept 2023, 11:45
20m
2.12

2.12

Speaker

Gianluca Sposito (Department of Industrial Engineering, University of Naples Federico II, Naples, Italy)

Description

Modern data acquisition systems allow for collecting signals that can be suitably modelled as functions over a continuum (e.g., time or space) and are usually referred to as profiles or functional data. Statistical process monitoring applied to these data is accordingly known as profile monitoring. The aim of this research is to introduce a new profile monitoring strategy based on a functional neural network (FNN) that is able to adjust a scalar quality characteristic for any influence by one or more covariates in the form of functional data. FNN is the name for a neural network able to learn a possibly nonlinear relationship which involves functional data.
A Monte Carlo simulation study is performed to assess the monitoring performance of the proposed control chart in terms of the out-of-control average run length with respect to competing methods that already appeared in the literature before. Furthermore, a case study in the railway industry, courtesy of Hitachi Rail Italy, demonstrates the potentiality and practical applicability in industrial scenarios.
Acknowledgements: This study was carried out within the MOST – Sustainable Mobility National Research Center and received funding from the European Union Next-GenerationEU (PIANO NAZIONALE DI RIPRESA E RESILIENZA (PNRR) – MISSIONE 4 COMPONENTE 2, INVESTIMENTO 1.4 – D.D. 1033 17/06/2022, CN00000023). This manuscript reflects only the authors’ views and opinions, neither the European Union nor the European Commission can be considered responsible for them. This research was also partially supported by the Danish Data Science Academy.

Classification Both methodology and application
Keywords Functional neural network, Profile monitoring, Statistical process control

Primary authors

Giuseppe Giannini (Head CBM Tool and Data Analysis, Hitachi Rail Italy, Naples, Italy) Murat Kulahci (Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark; Department of Business Administration, Technology and Social Sciences, Luleå University of Technology, Luleå, Sweden) Antonio Lepore (Department of Industrial Engineering, University of Naples Federico II, Naples, Italy) Biagio Palumbo (Department of Industrial Engineering, University of Naples Federico II, Naples, Italy) Gianluca Sposito (Department of Industrial Engineering, University of Naples Federico II, Naples, Italy)

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