Dynamic Network Flows with Adaptive Route Choice based on Current Information

Focusing on dynamic network flows, the book explores how drivers select routes in road networks to minimize their travel time based on real-time information. It introduces the concept of instantaneous dynamic equilibrium, where each flow particle adjusts its route in response to network changes. The author provides a precise mathematical definition of this equilibrium, investigates the existence of such flows, examines their computational complexity, and establishes quality bounds, offering a comprehensive analysis of traffic behavior in dynamic environments.