Car accidents and number of stopped cars due to road blockage on a one-lane highway

Details Car accidents and number of stopped cars due to road blockage on a one-lane highway Car accidents and number of stopped cars due to road blockage on a one-lane highway

1997-04-08

arxiv.org/abs/adap-org/9704001v1

J. Phys. A: Math. Gen. 30 (1997) 3329-3332

Nonlinear Sciences

Adaptation and Self-Organizing Systems

7 pages, 3 figures

Scientific paper

10.1088/0305-4470/30/10/012

Within the framework of a simple model of car traffic on a one-lane highway, we study the probability for car accidents to occur when drivers do not respect the safety distance between cars, and, as a result of the blockage during the time $T$ necessary to clear the road, we determine the number of stopped cars as a function of car density. We give a simple theory in good agreement with our numerical simulations.

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