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arXiv · 1802.08083

Applications of Optimal Control of a Nonconvex Sweeping Process to Optimization of the Planar Crowd Motion Model

Tan Cao·Boris Mordukhovich
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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.

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Tan Cao, Boris Mordukhovich. 2018-02-22. Applications of Optimal Control of a Nonconvex Sweeping Process to Optimization of the Planar Crowd Motion Model. https://arxiv.org/abs/1802.08083

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