Citation

Kuang H, Fan Y, Li X, Kong L. Procedia Eng. 2012; 31: 1060-1065.

Copyright

(Copyright © 2012, Elsevier Publishing)

DOI

10.1016/j.proeng.2012.01.1142

PMID

unavailable

Abstract

Based on the typical phenomena of pedestrian movement, an extended optimal velocity model is proposed to analyze and simulate single-file pedestrian movement at high density by considering the differences of interaction force (i.e., attractive force and repulsive force) between pedestrians. A new asymmetric interaction function is introduced to depict the complex behaviours of pedestrian movement. The modified Korteweg-de Vries (mKdV) equation near the critical point is derived by applying the reductive perturbation method, and its kink-antikink soliton solution can better describe the stop-and-go waves of pedestrian flow. The numerical simulations show that the model can really reproduce space-time evolution of headway during the pedestrian movement, and the simulation results are consistent with the theoretical analysis.