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Communication Dans Un Congrès Année : 2014

An algebraic approach for modeling and simulation of road traffic networks

Résumé

We present in this article an algebraic approach to model and simulate road traffic networks. By defining a set of road traffic systems and adequate concatenating operators in that set, we show that large regular road networks can be easily modeled and simulated. We define elementary road traffic systems which we then connect to each other and obtain larger systems. For the traffic modeling, we base on the LWR first order traffic model with piecewise-linear fundamental traffic diagrams. This choice permits to represent any traffic system with a number of matrices in specific algebraic structures. For the traffic control on intersections, we consider two cases: intersections controlled with a priority rule, and intersections controlled with traffic lights. Finally, we simulate the traffic on closed regular networks, and derive the macroscopic fundamental traffic diagram under the two cases of intersection control.
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Dates et versions

hal-01214513 , version 1 (14-10-2015)

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  • HAL Id : hal-01214513 , version 1

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Nadir Farhi, Habib Haj Salem, Jean Patrick Lebacque. An algebraic approach for modeling and simulation of road traffic networks. COSI 2014 - Colloque sur l'Optimisation et les Systèmes d'Information, Jun 2014, BEJAIA, France. 12p. ⟨hal-01214513⟩
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