Functional Regression Control Chart

76/2020

Functional Regression Control Chart

Thursday 19th November 2020

Centofanti, F.; Lepore, A.; Menafoglio, A.; Palumbo, B.; Vantini, S.

The modern development of data acquisition technologies in many industrial processes is facilitating the collection of quality characteristics that are apt to be modelled as functions, which are usually referred to as proles. At the same time, measurements of concurrent variables, which are related to the quality characteristic profiles, are often available in a functional form as well, and usually referred to as covariates. In order to adjust the monitoring of the quality characteristic proles by the effect of this additional information, a new functional control chart is elaborated on the residuals obtained from a function-on-function linear regression of the quality characteristic profile on the functional covariates. Furthermore, by means of a Monte Carlo simulation study, the performance of the proposed control chart are compared with those of other charts proposed in the literature. Eventually, a real-case study in the shipping industry is presented with the purpose of monitoring ship fuel consumption and thus, CO2 emissions from a Ro-Pax ship, with particular regard to detecting CO2 emission reduction after a specific energy efficiency initiative.

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This is an Author's original manuscript of an article published by Tay- lor & Francis in Technometrics on April 4, 2020, available at https://www.tandfonline.com/10.1080/00401706.2020.1753581.