Abstract
We analyze different available methods in the study of the exactly solvable stochastic models and their application to construction and modeling the road traffc with acceleration/deceleration dynamics.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
ben Avraham, D., Havlin, S.: Diffusion and Reactions in Fractals and Disordered Systems. Cambridge University Press (2000)
Cantini, L.: Algebraic bethe ansatz for the two species asep with different hopping rates. J. Phys. A: Math. Theor. 41, 095001 (2008)
Furtlehner, C., Lasgouttes, J.: A queueing theory approach for a multi-speed exclusion process. In: Traffic and Granular Flow ’ 07. pp. 129–138 (2007)
Karimipour, V.: A multi-species asep and its relation to traffic flow. Phys. Rev. E59, 205 (1999)
Kelly, F.P.: Reversibility and stochastic networks. John Wiley & Sons Ltd. (1979)
Kerner, B.: The Physics of Traffic. Springer Verlag (2005)
Liggett, T.M.: Interacting Particle Systems. Springer, Berlin (2005)
Nagel, K., Schreckenberg, M.: A cellular automaton model for freeway traffic. J. Phys. I, 2 pp. 2221–2229 (1992)
Samsonov, M., Furtlehner, C., Lasgouttes, J.: Exactly solvable stochastic processes for traffic modelling. Tech. Rep. 7278, Inria (2010)
Schönhof, M., Helbing, D.: Criticism of three-phase traffic theory. Transportation Research 43, 784–797 (2009)
Spitzer, F.: Interaction of markov processes. Adv. Math. 5, 246 (1970)
Sugiyama, Y., et al.: Traffic jams without bottlenecks: experimental evidence for the physical mechanism of the formation of a jam. New Journal of Physics 10, 1–7 (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this paper
Cite this paper
Samsonov, M., Furtlehner, C., Lasgouttes, JM. (2011). Exactly Solvable Stochastic Processes for Traffic Modelling. In: Gelenbe, E., Lent, R., Sakellari, G., Sacan, A., Toroslu, H., Yazici, A. (eds) Computer and Information Sciences. Lecture Notes in Electrical Engineering, vol 62. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9794-1_15
Download citation
DOI: https://doi.org/10.1007/978-90-481-9794-1_15
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-9793-4
Online ISBN: 978-90-481-9794-1
eBook Packages: EngineeringEngineering (R0)