Abstract
A stochastic cellular automaton (CA) model is presented to study traffic flow in cities. In order to avoid traffic jam, cars are allowed to turn with probability p turn when cars are blocked ahead by other cars. It is found that the jam-avoiding turn has an important effect on traffic jam. With increasing car density, jamming transitions occur from a maximal velocity phase, through a homogeneously moving phase, to a jamming phase, with a critical point. Above the critical point, the jamming transition does not appear. It is shown that allowing cars to turn results in a complex phase diagram.
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