Abstract
In this paper we develop a new theory of static equilibrium in congested transportation networks. We show that under some natural assumptions, the Wardrop principle leads to a very strong relation between the loading of the arc, arc flow and arc travel time. This relation allows us to simplify significantly the arc performance model. We show that instead of fixing a functional form of travel time function, we can obtain equilibrium solutions for static traffic assignment models using only some natural bounds for arc travel time and arc flow. We compare the results of our model with the results of standard Beckmann model.
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References
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Nesterov, Y. Stable Traffic Equilibria: Properties and Applications. Optimization and Engineering 1, 29–50 (2000). https://doi.org/10.1023/A:1010042405534
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DOI: https://doi.org/10.1023/A:1010042405534