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Mathematics of Traffic Flow Networks: Modeling, Simulation and Optimization (Paperback)
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Mathematics of Traffic Flow Networks: Modeling, Simulation and Optimization (Paperback)
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Traffic flow has been a continuous source of challenging
mathematical problems. The following work is dedicated to recent
questions in modeling, simulation and optimization of traffic flow
networks. Mathematics can help to solve traffic problems in
different ways. Modelling provides fundamental understanding of
traffic dynamics and behaviour. Optimization yields solutions for
complex situations and helps to organize traffic flow. During the
last decade there has been intensive research in different fields
of and related to traffic flow. One of the primary research
activities focus on the development of new and more realistic
models for traffic flow on a single road. Our work's primary focus
is on models for networks. We provide new ideas on modelling flow
in networks and solve different optimization problems analytically
and numerically. The main result is the derivation of a hierarchy
of models treating different situations with suitable traffic flow
models. To each level of modeling we consider the optimal control
problems and present techniques to address those problems.
Furthermore, we derive an adjoint calculus for scalar hyperbolic
equations with nonlinear boundary controls. The derived concepts
fit for general network problems as well as they do for traffic
flow issues. The principles of modeling and simplification can be
applied to all kinds of network flows, like fluid flow in open
channels or gas networks.
General
Imprint: |
Logos Verlag Berlin
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Country of origin: |
Germany |
Release date: |
July 2004 |
First published: |
July 2004 |
Authors: |
Michael Herty
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Dimensions: |
210 x 145mm (L x W) |
Format: |
Paperback
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Pages: |
136 |
ISBN-13: |
978-3-8325-0618-6 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
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LSN: |
3-8325-0618-7 |
Barcode: |
9783832506186 |
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