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Traffic and Monotonic Total-Connected Random Walks of Particles

Authors:
Alexander P. Buslaev
Alexander G. Tatashev
Andrew M. Yaroshenko

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

Abstract:
An analytical and simulation models of random walk of particles on a closed one-dimensional lattice are considered. In these models, the particles contained in a cluster move synchronously. The problem is to find the average time interval after which only a cluster remains. This problem is solved with both analytical and simulation approaches. A simulation model is also developed that describes the movement of a particles on a ring with traffic lights. An appropriate analytical model is also developed with some different rules of functioning. The average velocity of the particle is calculated. The results obtained with the simulation and analytical model are compared. Simulations models are also described that are supposed to be developed for the traffic with traffic lights, for multi-lane case, and networks with a periodic structure on that total-connected random walks occur.

Pages: 138 to 144

Copyright: Copyright (c) IARIA, 2012

Publication date: November 18, 2012

Published in: conference

ISSN: 2308-4537

ISBN: 978-1-61208-234-9

Location: Lisbon, Portugal

Dates: from November 18, 2012 to November 23, 2012