N. Boccara et al., CAR ACCIDENTS AND NUMBER OF STOPPED CARS DUE TO ROAD BLOCKAGE ON A ONE-LANE HIGHWAY, Journal of physics. A, mathematical and general, 30(10), 1997, pp. 3329-3332
Within the framework of a simple model of car traffic on a one-lane hi
ghway, we study the probability of the occurrence of car accidents whe
n drivers do not respect the safety distance between cars, and, as a r
esult of the blockage during the time T necessary to clear the road, w
e determine the number of stopped cars as a function of car density. W
e give a simple theory in good agreement with our numerical simulation
s.