An Integrated Digital Twin Framework for Maritime Mathematics: Navigation, Engineering, Logistics, and Risk Assessment

Authors : Engin Can

Pages : 127-149

Doi:10.58771/joinmet.1789608

View : 94 | Download : 180

Publication Date : 2025-12-27

Article Type : Research Paper

Abstract :Mathematics has historically been integral to shipping, from its early use in celestial navigation to contemporary applications in computational fluid dynamics, stochastic optimization, and reliability models. It enhances the sustainability, durability, and efficiency of shipping. This review commences with navigation, which has traditionally been facilitated by spherical trigonometry and logarithmic tables. Currently, navigation relies on nonlinear algebraic systems and Kalman filtering within GPS and AIS technologies. In marine engineering, hydrodynamics, hull optimization, and structural reliability under wave loading are underpinned by differential equations, eigenvalue stability analysis, and finite element methods. Optimization methodologies, including queueing models for port efficiency, linear programming for fleet allocation, and graph theory for routing, are increasingly vital in maritime logistics. Applications in safety and sustainability utilize convex optimization for fuel efficiency and emission mitigation, extreme value theory for wave modeling, Bayesian risk assessment, and probability theory. The primary contribution of the study is an integrated digital twin framework that consolidates mathematical models from risk, engineering, navigation, and logistics into a unified predictive and adaptive architecture. The framework facilitates predictive simulation, real-time optimization, and risk-informed decision-making by integrating real-time physical data (sensors, GPS, AIS, and environmental monitoring) with a mathematical foundation comprising deterministic and stochastic models. The proposed DT facilitates cross-domain integration, endorses autonomous decision-making systems, and propels the transition to sustainable maritime operations, unlike traditional methods that compartmentalize mathematical applications by domain. The integration of mathematical rigor with digital twin architecture positions mathematics as a transformative catalyst for next-generation maritime innovation, rather than merely a descriptive instrument.
Keywords : Denizcilik matematiği, dijital ikiz çerçevesi, optimizasyon ve lojistik, risk ve güvenilirlik analizi, otonom deniz sistemleri

ORIGINAL ARTICLE URL