EventsThe 2nd International Online Conference on Mathematics and Applications
Published
This submission belongs to the session S6. Mathematics, Computer Science and Artificial Intelligence of the event The 2nd International Online Conference on Mathematics and Applications
Published date
08 Jun, 2026
Academic Editor
author-avatarFrancisco Chiclana
Citation
Tien Anh Tran, Least-square error model for measuring the fuel consumption level of marine diesel engines based on variable factors, in Proceedings of The 2nd International Online Conference on Mathematics and Applications, 10 June–12 June 2026, MDPI: Basel, Switzerland
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Least-square error model for measuring the fuel consumption level of marine diesel engines based on variable factors

1. Department of Electrical Engineering, Faculty of Engineering, University of Malta, Msida, Malta, Vietnam
2. Department of Marine Engineering, Vietnam Maritime University, Haiphong, Vietnam
Abstract

The application of mathematical theory in engineering is crucial to solve complex challanges nowadays. The insights of recent mathematics development are great momentum to utilize the mathematics into the different fields in education, engineering, and business. In maritime transportation, fuel efficiency plays a vital role in creating efficient operation measures. The concept of optimization theory, along with the least square error method in mathematical theory, has been used to solve this issue. To partly contribute to this topic, a mathematics model has been established based on the least square error theory to accurately estimate the fuel consumption mass of marine diesel engines. In this model, the complexity of uncertain factors impacting the fuel consumption of marine diesel engines is addressed to accurately improve the fuel consumption estimation model. Based on the least square error method, a reduction in fuel consumption estimation error is achieved. A full evaluation of this model will be presented through the performance metric, including the coefficient of determination (R2), the mean absolute error (MAE), and the root mean square error (RMSE). This study is significant in determining the fuel consumption of marine diesel engines nowadays through mathematical theory. In the future, an advanced model will be established from this mathematical model to determine fuel efficiency in maritime transportation.

Keywords
Least square errors
mathematic application
fuel consumption model
maritime transportation
mathematical model
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