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Multilane Vehicular Traffic Simulation Using the CA Theory

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Traffic and Granular Flow '11

Abstract

The paper deals with the development of microscopic mathematical models for the simulation of vehicular traffic flows taking into account real road geometry, i.e. the multilane structure, presence of crossroads, traffic lights etc. The proposed model is based on the cellular automata (CA) theory. Generalization of the Nagel-Schreckenberg model to the multilane case is presented. The model has been verified by the number of test problems. Practically important road situations have been predicted. Simulation of traffic on a crossroad demonstrates the influence of traffic lights regimes on the crossroad capacity. The road capacity depending on the entries/exits presence and on the distance between them is also investigated.

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References

  1. Nagel K, Schreckenberg M (1992) A cellular automation model for freeway traffic. J. Phys. I France 2 (2221)

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  2. Sukhinova A, Trapeznikova M, Chetverushkin B and Churbanova N (2009) Two-dimensional macroscopic model of traffic flows. Mathematical Models and Computer Simulations 1(6):669–676

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  3. Chetverushkin B, Churbanova N, Furmanov I, Trapeznikova M (2010) 2D micro- and macroscopic models for simulation of heterogeneous traffic flows. In: CD-Rom Proc of ECCOMAS CFD 2010, Pereira J and Sequeira A (eds). IDMEC, Lisbon

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© 2013 Springer-Verlag Berlin Heidelberg

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Furmanov, I., Churbanova, N., Trapeznikova, M. (2013). Multilane Vehicular Traffic Simulation Using the CA Theory. In: Kozlov, V., Buslaev, A., Bugaev, A., Yashina, M., Schadschneider, A., Schreckenberg, M. (eds) Traffic and Granular Flow '11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39669-4_9

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