Analytical results for a three-phase traffic model.
We study analytically a cellular automaton model, which is able to present three different traffic phases on a homogeneous highway. The characteristics displayed in the fundamental diagram can be well discerned by analyzing the evolution of density configurations. Analytical expressions for the traffic flow and shock speed are obtained. The synchronized flow in the intermediate-density region is the result of aggressive driving scheme and determined mainly by the stochastic noise.
Huang
Ding-wei
DW
Department of Physics, Chung Yuan Christian University, Chung-li, Taiwan.