scholarly journals Dynamic system optimal traffic assignment with atomic users: Convergence and stability

2022 ◽  
Vol 155 ◽  
pp. 188-209
Author(s):  
Koki Satsukawa ◽  
Kentaro Wada ◽  
David Watling
Keyword(s):  
Dynamic System ◽  
Traffic Assignment ◽  
Convergence And Stability ◽  
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.

scholarly journals Risk Averse Dynamic System Optimal Traffic Assignment

2006 ◽  
Vol 23 ◽  
pp. 963-972 ◽  
Author(s):  
Shuichi YAMAZAKI ◽  
Takashi AKAMATSU
Keyword(s):  
Dynamic System ◽  
Traffic Assignment ◽  
Risk Averse ◽  
System Optimal

scholarly journals Dynamic system-optimal traffic assignment using a state space model

1993 ◽  
Vol 27 (6) ◽  
pp. 451-472 ◽  
Author(s):  
Stéphane Lafortune ◽  
Raja Sengupta ◽  
David E. Kaufman ◽  
Robert L. Smith
Keyword(s):  
Dynamic System ◽  
State Space ◽  
Traffic Assignment ◽  
State Space Model ◽  
Space Model ◽  
System Optimal

Dynamic system-optimal traffic assignment for a city using the continuum modeling approach

2013 ◽  
Vol 48 (7) ◽  
pp. 782-797 ◽  
Author(s):  
Y. Z. Tao ◽  
Y. Q. Jiang ◽  
J. Du ◽  
S. C. Wong ◽  
P. Zhang ◽  
...  
Keyword(s):  
Dynamic System ◽  
Traffic Assignment ◽  
Continuum Modeling ◽  
Modeling Approach ◽  
System Optimal ◽  
The Continuum
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