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An improved version of the Hughes model for pedestrian flow
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Carrillo, Jose A., Martin, Stephan and Wolfram, Marie-Therese (2016) An improved version of the Hughes model for pedestrian flow. Mathematical Models and Methods in Applied Sciences, 26 (4). pp. 671-697. doi:10.1142/S0218202516500147 ISSN 0218-2025.
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Official URL: http://dx.doi.org/10.1142/S0218202516500147
Abstract
Roger Hughes proposed a macroscopic model for pedestrian dynamics, in which individuals seek to minimize their travel time but try to avoid regions of high density. One of the basic assumptions is that the overall density of the crowd is known to every agent. In this paper we present a modification of the Hughes model to include local effects, namely limited vision, and a conviction towards decision making. The modified velocity field enables smooth turning and temporary waiting behavior. We discuss the modeling in the micro- and macroscopic setting as well as the efficient numerical simulation of either description. Finally we illustrate the model with various numerical experiments and evaluate the behavior with respect to the evacuation time and the overall performance.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Eikonal equation , Crowds -- Mathematical models , Pedestrians -- Simulation methods, Crowds -- Simulation methods, Pedestrians -- Mathematical models | ||||||||
Journal or Publication Title: | Mathematical Models and Methods in Applied Sciences | ||||||||
Publisher: | World Scientific Publishing Co. Pte. Ltd. | ||||||||
ISSN: | 0218-2025 | ||||||||
Official Date: | 19 January 2016 | ||||||||
Dates: |
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Volume: | 26 | ||||||||
Number: | 4 | ||||||||
Page Range: | pp. 671-697 | ||||||||
DOI: | 10.1142/S0218202516500147 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 16 September 2016 | ||||||||
Date of first compliant Open Access: | 16 September 2016 | ||||||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC), Royal Society (Great Britain), Royal Society (Great Britain). Wolfson Research Merit Award (RSWRMA), Österreichische Akademie der Wissenschaften [Austrian Academy of Sciences] | ||||||||
Grant number: | MTM2011-27739-C04-02, EP/K008404/1 (EPSRC) | ||||||||
Adapted As: |
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