A Statistical Approach to Vehicular Traffic

Details A Statistical Approach to Vehicular Traffic A Statistical Approach to Vehicular Traffic

2002-03-22

arxiv.org/abs/cond-mat/0203463v1

Physica A, Vol. 219, 95 (1995)

Physics

Condensed Matter

Statistical Mechanics

22 pages, 5 figures

Scientific paper

A two-dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of the four directions. The flow of cars obeys realistic traffic rules. We investigate the dependence of the average velocity of cars on the global traffic density. At a critical threshold for the density the average velocity reduces drastically caused by jamming. For the low density regime we provide analytical results which agree with the numerical results.

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