Modelling and Analysis of the Spiral Motion of Pedestrians via Cellular Automata

In this study, the spiral motion of pedestrian is modelled by use of Cellular Automata (CA). The model is implemented in hexagonal lattice with two newly introduced static floor fields in polar coordinate. Since the pedestrian dynamics is restricted in the circular motion and therefore the combination of hexagonal lattice and polar coordinate has a favourable compatibility of describing the spiral movement. The CA model is newly built by means of the interactions between the floor fields and particles in a cell. Various simulations are carried out to see the macro dynamic performances. The model reproduces the dynamical motions of the pedestrians spirally moving towards the centre point. A jam around the rotational centre has a deadlock phenomenon since the centre point is the destination for all. Various analyses on the numerically calculated results are presented in terms of the steady state. The circumferential and radial motion creates two spatial phases such as deadlock and free flow appeared at the steady state, where the inward and outward flows are in equilibrium at the phase boundary.

  • Supplemental Notes:
    • This paper was sponsored by TRB committee AHB45 Traffic Flow Theory and Characteristics.
  • Corporate Authors:

    Transportation Research Board

    500 Fifth Street, NW
    Washington, DC  United States  20001
  • Authors:
    • Shimura, Kenichiro
    • Bandini, Stefania
    • Nishinari, Katsuhiro
  • Conference:
  • Date: 2014

Language

  • English

Media Info

  • Media Type: Digital/other
  • Features: Figures; References;
  • Pagination: 9p
  • Monograph Title: TRB 93rd Annual Meeting Compendium of Papers

Subject/Index Terms

Filing Info

  • Accession Number: 01515166
  • Record Type: Publication
  • Report/Paper Numbers: 14-2664
  • Files: TRIS, TRB, ATRI
  • Created Date: Feb 21 2014 3:18PM