Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/8734
Title: Revisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm
Authors: Huang, L
Wong, SC
Zhang, M
Shu, CW
Lam, WHK 
Keywords: Continuum modeling
Eikonal equation
Pedestrian flow
Reactive dynamic user equilibrium
WENO scheme
Issue Date: 2009
Publisher: Pergamon Press
Source: Transportation research. Part B, Methodological, 2009, v. 43, no. 1, p. 127-141 How to cite?
Journal: Transportation research. Part B, Methodological 
Abstract: In this paper, we revisit Hughes' dynamic continuum model for pedestrian flow in a two-dimensional walking facility that is represented as a continuum within which pedestrians can freely move in any direction [Hughes, R.L., 2002. A continuum theory for the flow of pedestrians. Transportation Research Part B, 36 (6), 507-535]. We first reformulate Hughes' model, and then show that the pedestrian route choice strategy in Hughes' model satisfies the reactive dynamic user equilibrium principle in which a pedestrian chooses a route to minimize the instantaneous travel cost to the destination. In this model, the pedestrian demand is time varying. The pedestrian density, flux, and walking speed are governed by the conservation equation. A generalized cost function is considered. The reformulated problem is solved by the efficient weighted essentially non-oscillatory scheme for the conservation equation and the fast sweeping method for the Eikonal equation. A numerical example is used to demonstrate the effectiveness of the proposed solution procedure.
URI: http://hdl.handle.net/10397/8734
ISSN: 0191-2615
EISSN: 1879-2367
DOI: 10.1016/j.trb.2008.06.003
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