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Traffic and Monotone Random Walk of Particles: Analytical and Simulation Results

Authors:
Alexander Buslaev
Alexander Tatashev
Andrew Yaroshenko

Keywords: stochastic models; random walk; multi-lane traffic; optimization

Abstract:
An analytical model of random walk of particles on one-dimensional lattices and two-dimensional ones is considered. This model can be used for study of traffic on multi-lane road, traffic on crossroads, etc. We have obtained new exact formulas that allow to calculate the average velocity of particles. The steady state probabilities have been found also. We developed also an appropriate simulation model. The values, obtained with aid of analytical calculations, were compared with simulation results, and the result of this comparison was that the accordance of the models is good correspondence of the values found with aid of the two models.

Pages: 44 to 48

Copyright: Copyright (c) IARIA, 2011

Publication date: October 23, 2011

Published in: conference

ISSN: 2308-4537

ISBN: 978-1-61208-169-4

Location: Barcelona, Spain

Dates: from October 23, 2011 to October 29, 2011