Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Functional Process Control (FPC): A Methodology to Reduce Variability

Version 1 : Received: 10 April 2024 / Approved: 10 April 2024 / Online: 10 April 2024 (15:52:41 CEST)

How to cite: Sancho, J.; Martínez, J.; Pastor, J.; Cajal, C. Functional Process Control (FPC): A Methodology to Reduce Variability. Preprints 2024, 2024040740. https://doi.org/10.20944/preprints202404.0740.v1 Sancho, J.; Martínez, J.; Pastor, J.; Cajal, C. Functional Process Control (FPC): A Methodology to Reduce Variability. Preprints 2024, 2024040740. https://doi.org/10.20944/preprints202404.0740.v1

Abstract

In the last century, statistical process control has been considered a successful methodology for monitoring the variability and stability of a process over time. The analysis of variability using functional data analysis has become widespread during the early years of the 21st century. The present study proposes the implementation of a hybrid methodology called functional process control based on the functional data analysis methodology and combines its advantages with those of statistical process control, in order to provide a tool for detecting functional deviations. The phases are: (1) stabilization of processes through the identification and elimination of special causes of functional variability; (2) improvement of the process to be controlled by minimizing the common causes of functional variability; and (3) monitoring of the processes to ensure the maintenance or addition of further improvements.

Keywords

functional data; quality; non-normal data; variability; outlier

Subject

Computer Science and Mathematics, Applied Mathematics

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