ALOP Colloquium with Laura Vargas Koch
On Monday, May 6, 2024 at 16:00 c.t. Prof. Dr. Laura Vargas Koch, University of Bonn, will speak at the ALOP Colloquium about her recent work
Mathematics in Traffic Modeling: Nash Flows over Time
In traffic planning, traffic simulations are widely used. However, effective practical traffic simulations require good mathematical models as a foundation, and one such model is Nash flows over time. Traffic is not a centrally controlled system. Instead, each participant in traffic decides individually which route is best for them. When all participants do this, so-called equilibrium states emerge. In our research, we focus on these equilibria and their properties. Unlike static, classical models, the unique aspect of Nash flows over time is that temporal changes can be depicted. This means that a flow, which models traffic, moves through the network over time, and the situation in the network can dynamically change. In this presentation, we will learn about the model of Nash flows over time, understand its close connection to the traffic simulation software MATSim and see what properties of the equilibria have already been understood, and what questions are still open.
