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

N Boccara-+,++, H Fuks-+ and Q Zeng-+

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Within the framework of a simple model of car traffic on a one-lane highway, we study the probability of the occurrence of car accidents 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.


PACS

45.70.Vn Granular models of complex systems; traffic flow

02.50.Cw Probability theory

02.60.Cb Numerical simulation; solution of equations

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

MSC

90B20 Traffic problems

37B15 Cellular automata

Subjects

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 10 (21 May 1997)

Received 27 February 1997



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