Dynamic Network Flows with Adaptive Route Choice based on Current Information

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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.