A discrete event traffic model explaining the traffic phases of the train dynamics in a metro line with a junction

Résumé : This paper presents a predictive model for the train dynamics on a mass-transit metro line with one symmetrically operated junction. We distinguish three parts: a central part and two branches. The tracks are spatially discretized into segments (or blocks) and the train dynamics are described by a discrete event system where the variables are the kth departure times from each segment. The train dynamics are based on two main constraints: a travel time constraint modeling theoretic run and dwell times, and a safe separation constraint modeling the signaling system in case where the traffic gets very dense. The Max-plus algebra model allows to analytically derive the asymptotic average train frequency as a function of many parameters, including train travel times, minimum safety intervals, the total number of trains on the line and the number of trains on each branch. This derivation permits to understand the physics of traffic. In a further step, the results will be used for traffic control.
Type de document :
Communication dans un congrès
CDC 2017, IEEE Conference on Decision and Control, Dec 2017, Melbourne, Australia. IEEE, CDC 2017, IEEE Conference on Decision and Control, 6p, 2017
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https://hal.archives-ouvertes.fr/hal-01613171
Contributeur : Ifsttar Cadic <>
Soumis le : lundi 9 octobre 2017 - 13:46:50
Dernière modification le : lundi 19 novembre 2018 - 14:28:45

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  • HAL Id : hal-01613171, version 1

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Florian Schanzenbächer, Nadir Farhi, Zoi Christoforou, Fabien Leurent, Gérard Gabriel. A discrete event traffic model explaining the traffic phases of the train dynamics in a metro line with a junction. CDC 2017, IEEE Conference on Decision and Control, Dec 2017, Melbourne, Australia. IEEE, CDC 2017, IEEE Conference on Decision and Control, 6p, 2017. 〈hal-01613171〉

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