Authors: Neil Olver, Leon Sering, Laura Vargas Koch

Published on: February 07, 2024

Impact Score: 8.12

Arxiv code: Arxiv:2402.04935

Summary

• What is new: The study presents a novel convergence result for traffic flow models, showing that certain equilibria converge to dynamic equilibria as variables approach zero.
• Why this is important: The lack of established convergence results for equilibria in dynamic traffic models that account for real-world conditions like discrete ‘packet’ traffic and near-optimal route choices.
• What the research proposes: Introducing a concept of ‘strict’ $\epsilon$-equilibria and demonstrating their convergence to exact dynamic equilibria in single-commodity instances.
• Results: Demonstrated that strict $\epsilon$-equilibria converge to the exact dynamic equilibrium as $\epsilon$ approaches zero, with implications for both discrete packet models and $\epsilon$-equilibria.

Technical Details

Technological frameworks used: Deterministic queueing model for traffic congestion

Models used: Dynamic traffic models, strict $\epsilon$-equilibria

Data used: Single-commodity instance traffic flow patterns

Potential Impact

Transportation planning and analysis services, traffic management software companies, urban planning agencies

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