Nash Equilibrium in a Road Network with Many Groups of Users

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийглава/разделнаучнаярецензирование

Аннотация

In this chapter concentrates on the relationships between individual and group behaviour of drivers in a road network. Such relationships are established by comparing the optimal routing of drivers (system optimum of Wardrop), the competitive drivers’ groups routing (Nash equilibrium), and the selfish drivers routing (user equilibrium of Wardrop). Thus, the boundary conditions for traffic assignment in a road network were recently obtained for the first time. Wide analytical discussion on the topic as well as a survey of relevant references are presented. Moreover, a new behavioural model of traffic assignment in case of simultaneous selfish and group behaviour of drivers in a road network is formulated in the last section. An explicit solution to a behavioural traffic assignment problem is offered for a single-commodity linear network with non-interfering routes.

Язык оригиналаанглийский
Название основной публикацииOptimization Models and Methods for Equilibrium Traffic Assignment
Место публикацииCham
ИздательSpringer
Страницы45-70
ISBN (электронное издание)9783030341022
ISBN (печатное издание)9783030341015
DOI
СостояниеОпубликовано - 1 янв 2020

Серия публикаций

НазваниеSpringer Tracts on Transportation and Traffic
Том15
ISSN (печатное издание)2194-8119
ISSN (электронное издание)2194-8127

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Предметные области Scopus

  • Транспортное сообщение
  • Урбанистика
  • Стратегия и управление

Цитировать

Krylatov, A., Zakharov, V., & Tuovinen, T. (2020). Nash Equilibrium in a Road Network with Many Groups of Users. В Optimization Models and Methods for Equilibrium Traffic Assignment (стр. 45-70). (Springer Tracts on Transportation and Traffic; Том 15). Cham: Springer. https://doi.org/10.1007/978-3-030-34102-2_3