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2013

Mean field games with nonlinear mobilities in pedestrian dynamics

Burger, Martin, Di Francesco, Marco, Markowich, Peter et al.

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In this paper we present an optimal control approach modeling fast exit scenarios in pedestrian crowds.

In particular 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, velocity, exit time and the overall density of people.
This microscopic setup leads in the mean-field limit to a parabolic optimal control problem.

Mean field games with nonlinear mobilities in pedestrian dynamics · Around

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