The paper studies an optimal decision problem for several groups of drivers on a network of roads. Drivers have different origins and destinations, and different costs, related to their departure and arrival time. On each road the flow is governed by a conservation law, while intersections are modeled using buffers of limited capacity, so that queues can… (More)
The paper develops a model of traffic flow near an intersection, where drivers seeking to enter a congested road wait in a buffer of limited capacity. Initial data comprise the vehicle density on each road, together with the percentage of drivers approaching the intersection who wish to turn into each of the outgoing roads. If the queue sizes within the… (More)
This paper establishes the global existence of weak solutions to the Burgers-Hilbert equation, for general initial data in L 2 (IR). For positive times, the solution lies in L 2 ∩L ∞. A partial uniqueness result is proved for spatially periodic solutions, as long as the total variation remains locally bounded.