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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Dynamic Network Flows with Adaptive Route Choice Based on Current Information

Dynamic Network Flows with Adaptive Route Choice Based on Current Information

Graf, Lukas

Paperback

Series: Mathematische Optimierung Und Wirtschaftsmathematik Mathematical Optimization and Economathematics

General Mathematics

ISBN10: 3658449470
ISBN13: 9783658449476
Publisher: Springer Spektrum
Published: Aug 6 2024
Pages: 280
Weight: 0.78
Height: 0.62 Width: 5.83 Depth: 8.27
Language: English

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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