Monte Carlo Algorithm for Simulation of the Vehicular Traffic Flow Within the Kinetic Model with Velocity Dependent Thresholds

Author:

Burmistrov Aleksandr,Korotchenko Mariya

Publisher

Springer New York

Reference6 articles.

1. Burmistrov, A.V., Korotchenko, M.A.: Application of statistical methods for the study of kinetic model of traffic flow with separated accelerations. Russ. J. Numer. Anal. Math. Model. 26, 275–293 (2011)

2. Ivanov, M.S., Rogasinsky, S.V.: The Direct Statistical Simulation Method in Dilute Gas Dynamics. Publ. Comput. Center, Sib. Branch, USSR Acad. Sci., Novosibirsk (1988, in Russian)

3. Mikhailov, G.A., Rogasinsky, S.V.: Weighted Monte Carlo methods for approximate solution of the nonlinear Boltzmann equation. Sib. Math. J. 43, 496–503 (2002)

4. Waldeer, K.T.: Vergleich der Ergebnisse eines beschleunigungsorientierten, Boltzmannartigen Verkehrsflußmodells mit Messungen. In: Proceedings of 19th Dresden Conference on Traffic and Transportation Science, pp. 84.1–84.16 (2003, in German)

5. Waldeer, K.T.: A vehicular traffic flow model based on a stochastic acceleration process. Transp. Theory Stat. Phys. 33, 7–30 (2004)

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