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arXiv · 2412.20449

Selfish routing on transportation networks with supply and demand constraints

Tommaso Toso·Paolo Frasca·Alain Y. Kibangou
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Abstract

Traditional non-atomic selfish routing games present some limitations in properly modeling road traffic. This paper introduces a novel type of non-atomic selfish routing game leveraging concepts from Daganzo's cell transmission model (CTM). Each network link is characterized by a supply and demand mechanism that enforces capacity constraints based on current density, providing a more accurate representation of real-world traffic phenomena. We characterize the Wardrop equilibria and social optima of this game and identify a previously unrecognized inefficiency in selfish routing: partially transferring Wardrop equilibria, where only part of the exogenous flow traverses the network.

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Tommaso Toso, Paolo Frasca, Alain Y. Kibangou. 2024-12-29. Selfish routing on transportation networks with supply and demand constraints. https://arxiv.org/abs/2412.20449

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