Applications of Optimal Control of a Nonconvex Sweeping Process to Optimization of the Planar Crowd Motion Model
arXiv:1802.08083
Abstract
This paper concerns optimal control of a nonconvex perturbed sweeping process and its applications to optimization of the planar crowd motion model of traffic equilibria. The obtained theoretical results allow us to investigate a dynamic optimization problem for the microscopic planar crown motion model with finitely many participants and completely solve it analytically in the case of two participants.
22 pages, 8 figures