Study on pedestrian traffic at the channel bottleneck

Traffic jam extremely occur at the channel bottleneck for the unidirectional flow of pedestrian. In this paper, pedestrian channel flow at a bottleneck is investigated under the open boundaries by using the lattice-gas model for the entering room and NaSch model for the exit. The relation of the pedestrian flow through the bottleneck with the entering probability, different randomization probability and different distances from the exit is simulated and analyzed. Results show the dynamical phase transition from the free-flowing phase to the choking flow phase. The entering probability p_a, entrance width w and randomization probability p induced by pedestrian stochastic behaviors have a great impact on free-flowing traffic. The corresponding phase diagrams are given. The transition point is shown too.