scholarly journals Dynamic System Optimal Routing in Multimodal Transit Network

2013 ◽  
Vol 2351 (1) ◽  
pp. 76-84 ◽  
Author(s):  
Tai-Yu Ma ◽  
Jean-Patrick Lebacque
Keyword(s):  
Dynamic System ◽  
Optimal Routing ◽  
Transit Network ◽  
System Optimal

scholarly journals System-Optimal Routing of Traffic Flows with User Constraints in Networks with Congestion

2005 ◽  
Vol 53 (4) ◽  
pp. 600-616 ◽  
Author(s):  
Olaf Jahn ◽  
Rolf H. Möhring ◽  
Andreas S. Schulz ◽  
Nicolás E. Stier-Moses
Keyword(s):  
Optimal Routing ◽  
Traffic Flows ◽  
System Optimal

Game-Theoretic Formulations of Interaction Between Dynamic Traffic Control and Dynamic Traffic Assignment

1998 ◽  
Vol 1617 (1) ◽  
pp. 179-188 ◽  
Author(s):  
Owen Chen ◽  
Moshe Ben-Akiva
Keyword(s):  
Dynamic System ◽  
Traffic Control ◽  
Assignment Problem ◽  
Traffic Assignment ◽  
Stackelberg Game ◽  
Dynamic Traffic Assignment ◽  
Noncooperative Game ◽  
Dynamic Traffic ◽  
System Optimal ◽  
Combined Control

The dynamic traffic control problem and the dynamic traffic assignment problem are integrated as a noncooperative game between a traffic authority and highway users. The objective of the combined control-assignment problem is to find a mutually consistent dynamic system-optimal signal setting and dynamic user-optimal traffic flow. The combined control-assignment problem is first formulated as a one-level Cournot game: the traffic authority and the users choose their strategies simultaneously. The combined control-assignment problem is subsequently formulated as a bi-level Stackelberg game. The traffic authority is the leader; it determines the signal settings in anticipation of the users’ reactions. The users are followers who choose their routes after the signal settings have been determined. Finally, the system-optimal control-assignment problem is formulated as a Monopoly game. The sole player—the traffic authority—determines both signal settings and traffic flows to achieve a dynamic system-optimal solution. A numerical example is provided to illustrate the equilibria of the games.

Gradient Iteration Method for Solving Dynamic System Optimal Control Problems Based on Atomic Functions

2000 ◽  
Vol 54 (11-12) ◽  
pp. 38-43
Author(s):  
Vladimir Alexeevich Rvachev ◽  
Victor Filippovich Kravchenko ◽  
Aleksandr Aleksandrovich Kurayev
Keyword(s):  
Optimal Control ◽  
Dynamic System ◽  
Iteration Method ◽  
Optimal Control Problems ◽  
Control Problems ◽  
System Optimal

The dynamic system‐optimal route choice problem and toll policies

1999 ◽  
Vol 22 (3) ◽  
pp. 201-228 ◽  
Author(s):  
Huey‐Kuo Chen ◽  
Che‐Fu Hsueh ◽  
Chung‐Yung Wang
Keyword(s):  
Dynamic System ◽  
Route Choice ◽  
Optimal Route ◽  
Choice Problem ◽  
System Optimal
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