Papers by Author: Tao Song

Abstract: In this paper, a new viscous vehicular flow model proposed by Song et al is discussed from the perspective of the capability to reproduce nonlinear traffic behavors observed in real traffic. The linear stability condition for stationary and equilibrium flow is derived. Near the neutral stability curve, the Korteweg–de Vries (KdV) equation describing congested traffic pattern is derived with use of the reduction perturbation method. And the corresponding analytical soliton solution is obtained.

Abstract: Evacuation time it takes for people to escape out of a room with obstacle was investigated by using a small-grid lattice gas model with different maximum velocities. The relationship between the evacuation time and the size of barrier was explored. The evacuation time decreases when the obstacle is set appropriately under different densities. The numbers of pedestrians running out of the room with and without obstacle at each time step are compared.