Dynamic Network Flows with Adaptive Route Choice based on Current Information

Lukas Graf

$176.95 $141.94

Paperback

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English

Springer Spektrum
06 August 2024

Optimisation; Applied mathematics

Series: Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics

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.

By: Lukas Graf
Imprint: Springer Spektrum
Country of Publication: Germany
Edition: 2024 ed.
Dimensions: Height: 210mm, Width: 148mm,
ISBN: 9783658449476
ISBN 10: 3658449470
Series: Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics
Pages: 280
Publication Date: 06 August 2024
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

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Dynamic Network Flows with Adaptive Route Choice based on Current Information

Lukas Graf

$176.95 $141.94

Paperback

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