Abstract
We develop our algorithms in the frame of the kinetic VTF model suggested in [5]. A distinctive feature of this model consists in introducing of the acceleration variable into the set of the phase coordinates along with the velocity coordinate of the car. Such a modification of the phase space allowed to describe not only a partly constrained traffic but also a higher car density regimes.
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Acknowledgements
The authors acknowledge the kind hospitality of the Unit of Rimini of the Department of Statistical Sciences of Bologna University and organizers of the Seventh International Workshop on Simulation IWS-2013.
The work is partly supported by SB RAS (Interdisciplinary Integration Project No. 47), the Program “Leading Scientific Schools” (grant SS-5111.2014.1), and the Russian Foundation for Basic Research (grants 11-01-00252, 12-01-00034, 12-01-31134, 13-01-00746, 14-01-00340, 14-01-31451).
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Burmistrov, A., Korotchenko, M. (2014). Monte Carlo Algorithm for Simulation of the Vehicular Traffic Flow Within the Kinetic Model with Velocity Dependent Thresholds. In: Melas, V., Mignani, S., Monari, P., Salmaso, L. (eds) Topics in Statistical Simulation. Springer Proceedings in Mathematics & Statistics, vol 114. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2104-1_10
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