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

Bingling Cen, Yu Xue, Xue Wang and Peng Zhang

Mathematical Problems in Engineering, 2020, vol. 2020, 1-11

Abstract:

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 t d 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 t d . 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 t d are conducive to alleviate pedestrian congestion.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2020/1054393.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2020/1054393.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:1054393

DOI: 10.1155/2020/1054393

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().