Abstract

We study the effects of on-ramp and off-ramp to the traffic flow in a cellular automaton. The stochastic noise and the extended hopping are included. The phase diagram is obtained. Three distinct phases are observed. The density profiles are analyzed. In the maximum current phase, standing traffic jams emerge in the upstream of the on-ramp. A region of free flow is observed in the downstream of the off-ramp. In between the ramps, a scaled density profile is observed in one branch and a phase separation is observed in the other branch.

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