4 papers · 1 filter
Multi-Commodity Nash Flows Over Time
Leon Sering
Motivated by the dynamic traffic assignment problem, we consider flows over time model with deterministic queuing. Dynamic equilibria, called Nash flows over time, have been studie…
The Impact of Spillback on the Price of Anarchy for Flows Over Time
Jonas Israel, Leon Sering
Flows over time enable a mathematical modeling of traffic that changes as time progresses. In order to evaluate these dynamic flows from a game theoretical perspective we consider…
Nash Flows over Time with Spillback and Kinematic Waves
Leon Sering, Laura Vargas Koch
Modeling traffic in road networks is a widely studied but challenging problem, especially under the assumption that drivers act selfishly. A common approach is the deterministic qu…
Multi-Source Multi-Sink Nash Flows Over Time
Leon Sering, Martin Skutella
Nash flows over time describe the behavior of selfish users eager to reach their destination as early as possible while traveling along the arcs of a network with capacities and tr…