A New Variable-length Cell Model for Traffic Systems

Carlos Canudas de Wit 1 Antonella Ferrara 2
1 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
Abstract : In this paper we propose a new variable-length cell model (V-CTM) consisting of only three state lumped variables: two densities associated to two cells of variable length: a downstream congested one, of length, $l$, and an upstream free one, of length $L-l$, where $L$ is the total length of the sector. The former one is characterized by the congested (lumped or averaged) density, the latter one by the free (lumped or averaged) density. The third state, $l$ described the position of the congestion wave front. The paper investigates also several mathematical properties of this model ensuring the consistency with respect its inherent mass (or vehicle) conservation law. A comparison with respect to the standard fixed-cell CTM is also provided.
Type de document :
Rapport
2014
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https://hal.archives-ouvertes.fr/hal-00966968
Contributeur : Carlos Canudas de Wit <>
Soumis le : jeudi 27 mars 2014 - 16:12:09
Dernière modification le : dimanche 23 septembre 2018 - 01:11:37

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  • HAL Id : hal-00966968, version 1

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Carlos Canudas de Wit, Antonella Ferrara. A New Variable-length Cell Model for Traffic Systems. 2014. 〈hal-00966968〉

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