Pedestrian Traffic Models: from Microscopic Formulation to Coarse-Grained Dynamics

Aug 15 - 20, 2012

Department of Mathematics, NCSU
Department of Mathematics

2108 SAS Hall, 2311 Stinson Drive
Raleigh, NC
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ABSTRACT

Human crowds and pedestrian groups exhibit complex and coordinated spatio-temporal patterns such as the spontaneous organization of pedestrian flows into lines and the oscillations of fluxes at gates or intersections. Understanding these phenomena requires a deeper knowledge of the laws governing the interactions of individuals with both themselves and their environment. Although a number of experiments can be found in the literature, the available data does not lend itself well to systematic study. The lack of completeness and varying quality of available experimental data make it nearly impossible to identify the fundamental principles underlying pedestrian behavior. Mathematical modeling and numerical simulation can facilitate the extraction of information from such data, helping to identify relevant observables by which a set of biological hypotheses can be validated.

GOALS

The main objective of this research program is to systematically develop and analyze a hierarchy of pedestrian traffic models. The proposed hierarchy of models consists of three levels: (i) Microscopic description, (ii) Mesoscopic description and (iii) Macroscopic PDE description. This KIT (kinetic interaction team) will bring together a group of collaborators to spend 5 days in order to complete the work on pedestrian flow models with slowdown interactions.

ORGANIZERS

CONFIRMED PARTICIPANTS

INFORMATION FOR PARTICIPANTS

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Department of Mathematics, NCSU (NCSU)
2108 SAS Hall, 2311 Stinson Drive
Raleigh, NC

Email: chertock@math.ncsu.edu