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Stochastic modeling and simulation of traffic flow: Asymmetric single exclusion process with Arrhenius look-ahead dynamics
SIAM JOURNAL ON APPLIED MATHEMATICS
  • A Sopasakis
  • MA Katsoulakis, University of Massachusetts - Amherst
Publication Date
2006
Abstract

A novel traffic flow model based on stochastic microscopic dynamics is introduced and analyzed. Vehicles advance based on the energy profile of their surrounding traffic implementing the "look-ahead" rule and following an underlying asymmetric exclusion process with Arrhenius spin-exchange dynamics. Monte Carlo simulations produce numerical solutions of the microscopic traffic model. Fluctuations play an important role in profiling observationally documented but, at the simulation level, elusive traffic phenomena. Furthermore, based on scaling and limit arguments we obtain a macroscopic description of this microscopic dynamics formulation which up to leading term of the expansions takes the form of integrodifferential Burgers or higher-order dispersive partial differential equations. We outline connections and comparisons of the hierarchical models presented here (microscopic, macroscopic) with other well-known traffic flow models.

Comments

The published version is located at http://epubs.siam.org/siap/resource/1/smjmap/v66/i3/p921_s1

Pages
921-944
Citation Information
A Sopasakis and MA Katsoulakis. "Stochastic modeling and simulation of traffic flow: Asymmetric single exclusion process with Arrhenius look-ahead dynamics" SIAM JOURNAL ON APPLIED MATHEMATICS Vol. 66 Iss. 3 (2006)
Available at: http://works.bepress.com/markos_katsoulakis/23/