Traffic models on a network of roads
Speaker: Alberto Bressan, Department of Mathematics, Penn State
The talk will provide a brief introduction to PDE models of traffic flow on a network of roads.These comprise a set of conservation laws, determining the density of traffic on each road, together with suitable boundary conditions, describing the dynamics at intersections.
Given a cost functional depending on departure and arrival times, an interesting problem is to determine (i) global optima, minimizing the sum of all costs to all drivers, and (ii) Nash equilibria, where no driver can lower his own cost by changing departure time or route taken to reach destination.
Several results and open problems will be discussed.
Room Reservation Information
Room Number: 114 McAllister
Time: 12:20pm - 1:10pm