Graf L Dynamic Network Flows with Adaptive Route Choice Current Inform 2024
General:
Name: Graf L Dynamic Network Flows with Adaptive Route Choice Current Inform 2024
Format: pdf
Size: 35.59 MB
Book:
Title: 3658449470
Author: Lukas Graf
Language: angielski
Year: 2024
Subjects: Science & Technology, Mathematics, Mathematics – Applied
Publisher: Springer Spektrum
ISBN: 9783658449483
Total pages: 349
Description:
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.
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