On a mean field game optimal control approach modeling fast exit scenarios in human crowds
Burger M, Di Francesco M, Markowich PA, Wolfram MT (2013)
Publication Language: English
Publication Type: Conference contribution
Publication year: 2013
Pages Range: 3128-3133
Event location: Firenze
Abstract
The understanding of fast exit and evacuation situations in crowd motion research has received a lot of scientific interest in the last decades. Security issues in larger facilities, like shopping malls, sports centers, or festivals necessitate a better understanding of the major driving forces in crowd dynamics. In this paper we present an optimal control approach modeling fast exit scenarios in pedestrian crowds. The model is formulated in the framework of mean field games and based on a parabolic optimal control problem. We consider the case of a large human crowd trying to exit a room as fast as possible. The motion of every pedestrian is determined by minimizing a cost functional, which depends on his/her position and velocity, the overall density of people, and the time to exit. This microscopic setup leads in a mean-field formulation to a nonlinear macroscopic optimal control problem, which raises challenging questions for the analysis and numerical simulations.We discuss different aspects of the mathematical modeling and illustrate them with various computational results. ©2013 IEEE.
Authors with CRIS profile
Involved external institutions
University of Bath
United Kingdom (GB)
Universität Wien / University of Vienna
Austria (AT)
King Abdullah University of Science and Technology (KAUST) / جامعة الملك عبد الله للعلوم و التقنية
Saudi Arabia (SA)
Westfälische Wilhelms-Universität (WWU) Münster
Germany (DE)
United Kingdom (GB)
Universität Wien / University of Vienna
Austria (AT)
King Abdullah University of Science and Technology (KAUST) / جامعة الملك عبد الله للعلوم و التقنية
Saudi Arabia (SA)
Westfälische Wilhelms-Universität (WWU) Münster
Germany (DE)
How to cite
APA:
Burger, M., Di Francesco, M., Markowich, P.A., & Wolfram, M.T. (2013). On a mean field game optimal control approach modeling fast exit scenarios in human crowds. In Proceedings of the Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on (pp. 3128-3133). Firenze.
MLA:
Burger, Martin, et al. "On a mean field game optimal control approach modeling fast exit scenarios in human crowds." Proceedings of the Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, Firenze 2013. 3128-3133.
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