APPLICATIONS OF OPTIMAL CONTROL OF A NONCONVEX SWEEPING PROCESS TO OPTIMIZATION OF THE PLANAR CROWD MOTION MODEL

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.

Authors
Cao T.H.1 , Mordukhovich B.S. 2, 3
Journal
Discrete and Continuous Dynamical Systems - Series B
Publisher
Southwest Missouri State University
Number of issue
8
Language
English
Pages
4191-4216
Status
Published
DOI
10.3934/dcdsb.2019078
Volume
24
Year
2019
Organizations
  • 1 State Univ New York Korea, Dept Appl Math & Stat, Incheon 21985, South Korea
  • 2 Wayne State Univ, Dept Math, Detroit, MI 48202 USA
  • 3 RUDN Univ, Moscow 117198, Russia
Keywords
Optimal control; sweeping process; discrete approximations; variational analysis; generalized differentiation; optimality conditions; planar crowd motion model
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/39127/
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