2026-06-03T14:36:19Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/406602026-02-03T11:02:44Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Hernando-Esteban, Antonio
author
Galán-García, José Luis
author
Aguilera-Venegas, Gabriel
2025-11-11T09:39:15Z
2025-11-11T09:39:15Z
2024-02-22
Antonio Hernando, José Luis Galán-García, Gabriel Aguilera-Venegas. A fast and general algebraic approach to Railway Interlocking System across all train stations[J]. AIMS Mathematics, 2024, 9(3): 7673-7710. doi: 10.3934/math.2024373
https://hdl.handle.net/10630/40660
10.3934/math.2024373
Railway interlocking systems are crucial safety components in rail transportation, designed to prevent train collisions by regulating switch positions and signal indications. These systems delineate potential train movements within a railway station by connecting sections into routes, which are further divided into blocks. To ensure safety, the system prohibits the simultaneous allocation of the same block or intersecting routes to multiple trains. In this study, we characterize the 'interlocking problem' as a safety verification task for a single real-time station configuration, rather than a 'command and control' function. This is a matter of verification, not solution, typically managed by an interlocking system that receives movement authority requests. Over the years, we have developed various algebraic models to address this issue, suggesting the potential use of computer algebra systems in implementing interlocking systems. However, some of these models exhibit limitations. In this paper, we propose a novel algebraic model for decision-making in railway interlocking systems that overcomes the limitations of previous approaches, making it suitable for large railway stations. Our primary objective is to offer a mathematical solution to interlocking problems in linear time, which our approach accomplishes.
eng
Atribución 4.0 Internacional
Polinomios
Álgebra conmutativa
Transportes ferroviarios
Toma de decisiones
A fast and general algebraic approach to Railway Interlocking System across all train stations
journal article
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