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.

Авторы
Cao T.H.1 , Mordukhovich B.S. 2, 3
Редакторы
-
Издательство
Southwest Missouri State University
Номер выпуска
8
Язык
Английский
Страницы
4191-4216
Статус
Опубликовано
Подразделение
-
Ссылка
-
Номер
-
Том
24
Год
2019
Организации
  • 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
Ключевые слова
Optimal control; sweeping process; discrete approximations; variational analysis; generalized differentiation; optimality conditions; planar crowd motion model
Дата создания
19.07.2019
Дата изменения
19.07.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/39127/