Equilibria for Dynamic Network Flows

In the basic dynamic network flow model, which originates in the works of Ford and Fulkerson, Gale, and Vickrey, we are given a network with link travel times and per time unit capacity. Besides the travel time, particles traversing a link experience a queuing delay if the amount of flow exceeds the link capacity. In this talk we will review the basic continuous time model and some recent results concerning the existence, uniqueness, computation, and other fundamental properties of the underlying equilibria. We will then focus on the long run behavior of the equilibrium, proving that a steady state is always achieved in finite time. 

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