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.
@article{arxiv.1802.08083,
title = {Applications of Optimal Control of a Nonconvex Sweeping Process to Optimization of the Planar Crowd Motion Model},
author = {Tan Cao and Boris Mordukhovich},
journal= {arXiv preprint arXiv:1802.08083},
year = {2018}
}