Dynamic Network Flows with Adaptive Route Choice based on Current Information

2024
ISBN: 978-3-658-44947-6
Verlag: Springer

Buch, Englisch, 280 Seiten, Paperback, Format (B × H): 148 mm x 210 mm, Gewicht: 386 g

Reihe: Research

In this book Lukas Graf studies dynamic network flows which are a model for individual car traffic in road networks. It is assumed that drivers choose their routes based on information about the current state of the network in such a way as to selfishly minimize their own arrival time at their destination. Whilst on their journey the drivers adapt their current route choices based on the changing state of the network. A dynamic flow wherein every (infinitesimally small) flow particle behaves in this way is then called an instantaneous dynamic equilibrium. After giving a mathematically precise definition of this equilibrium concept the author shows existence of those equilibrium flows, studies their computational complexity and derives bounds on their quality.

Zielgruppe

Research

Autoren/Hrsg.

Graf, Lukas

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung

Über Autor(innen)

After receiving his PhD from the University of Augsburg, Lukas Graf now works as a research assistant at the chair for mathematical optimization at the University of Passau.