Reprint of “Stochastic stability of dynamic user equilibrium in unidirectional networks: Weakly acyclic game approach”

2020 ◽  
Vol 132 ◽  
pp. 117-135
Author(s):  
Koki Satsukawa ◽  
Kentaro Wada ◽  
Takamasa Iryo
Keyword(s):  
Stochastic Stability ◽  
User Equilibrium ◽  
Dynamic User Equilibrium

An Iterative Algorithm to Determine the Dynamic User Equilibrium in a Traffic Simulation Model

1998 ◽  
Vol 09 (03) ◽  
pp. 393-407 ◽  
Author(s):  
C. Gawron
Keyword(s):  
Probability Distribution ◽  
Simulation Model ◽  
Iterative Algorithm ◽  
Traffic Simulation ◽  
User Equilibrium ◽  
Dynamic User Equilibrium ◽  
Queuing Model ◽  
Travel Costs ◽  
Dynamic Version ◽  
The Stability

An iterative algorithm to determine the dynamic user equilibrium with respect to link costs defined by a traffic simulation model is presented. Each driver's route choice is modeled by a discrete probability distribution which is used to select a route in the simulation. After each simulation run, the probability distribution is adapted to minimize the travel costs. Although the algorithm does not depend on the simulation model, a queuing model is used for performance reasons. The stability of the algorithm is analyzed for a simple example network. As an application example, a dynamic version of Braess's paradox is studied.

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