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

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

scholarly journals Continuum modeling perspectives of non-Fourier heat conduction in biological systems

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ákos Sudár ◽  
Gergely Futaki ◽  
Róbert Kovács
Keyword(s):  
Biological Systems ◽  
Phase Lag ◽  
Dual Phase ◽  
Continuum Modeling ◽  
Biological Origin ◽  
Ultrasound Surgery ◽  
Thermal Models ◽  
Wide Range ◽  
Fourier Heat Conduction ◽  
The Continuum

Abstract The thermal modeling of biological systems is increasingly important in the development of more advanced and more precise techniques such as ultrasound surgery. One of the primary barriers is the complexity of biological materials: the geometrical, structural, and material properties vary in a wide range. In the present paper, we focus on the continuum modeling of heterogeneous materials of biological origin. There are numerous examples in the literature for non-Fourier thermal models. However, as we realized, they are associated with a few common misconceptions. Therefore, we first aim to clarify the basic concepts of non-Fourier thermal models. These concepts are demonstrated by revisiting two experiments from the literature in which the Cattaneo–Vernotte and the dual phase lag models are utilized. Our investigation revealed that these non-Fourier models are based on misinterpretations of the measured data, and the seeming deviation from Fourier’s law originates from the source terms and boundary conditions.

Sign in / Sign up

Export Citation Format

Share Document