Effect of Changing Path on Pedestrian Traffic under the Cumulative Effect of Delay Time

Abstract EN

In this paper, a lattice hydrodynamic model of two-dimensional bidirectional pedestrian traffic is proposed with consideration of altering path under the cumulative effect of delay time.

The stability condition is acquired by linear analysis, and the mKdV equation to describe congestion evolution is derived by reductive perturbation technique.

According to the result from the stability analysis, the stability region of pedestrian flow can be divided into stable region, unstable region, and metastable region.

On the basis of stable condition, the unstable region is narrowed with the increase of delay time td and the path changing rate γ.

It indicates that changing path can effectively improve the stability of the pedestrian flow under the cumulative effect of delay time td.

For numerical simulation and analysis of density wave, it is found that the increase of path changing rate γ and the cumulative effect of delay time td are conducive to alleviate pedestrian congestion.