Modelling and Optimisation of Flows on Networks
Cetraro, Italy 2009, Editors: Benedetto Piccoli, Michel Rascle
Published on 14. December 2012
XIV, 497 pages
978-3-642-32160-3 (ISBN)
Description
In recent years flows in networks have attracted the interest of many researchers from different areas, e.g. applied mathematicians, engineers, physicists, economists. The main reason for this ubiquity is the wide and diverse range of applications, such as vehicular traffic, supply chains, blood flow, irrigation channels, data networks and others.
This book presents an extensive set of notes by world leaders on the main mathematical techniques used to address such problems, together with investigations into specific applications. The main focus is on partial differential equations in networks, but ordinary differential equations and optimal transport are also included. Moreover, the modeling is completed by analysis, numerics, control and optimization of flows in networks.
The book will be a valuable resource for every researcher or student interested in the subject.
More details
Series
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XIV, 497 p. 141 illus., 32 illus. in color.
File size
9,14 MB
ISBN-13
978-3-642-32160-3 (9783642321603)
DOI
10.1007/978-3-642-32160-3
Schweitzer Classification
Other editions
Additional editions
Luigi Ambrosio | Alberto Bressan | Dirk Helbing
Modelling and Optimisation of Flows on Networks
Cetraro, Italy 2009, Editors: Benedetto Piccoli, Michel Rascle
Book
12/2012
1st Edition
Springer
€128.39
Shipment within 7-9 days
Persons
Content
A User's Guide to Optimal Transport.- Hyperbolic Conservation Laws: an Illustrated Tutorial.- Derivation of Non-Local Macroscopic Traffic Equations and Consistent Traffic Pressures from Microscopic Car-Following Models.- On the Controversy around Daganzo's Requiem for and Aw-Rascle's Resurrection of Second-Order Traffic Flow Models.- Theoretical vs. Empirical Classification and Prediction of Congested Traffic States.- Self-Organized Network Flows.- Operation Regimes and Slower-is-Faster-Effect in the Control of Traffic Intersections.- Modeling and Optimization of Scalar Flows on Networks.- The Wave Equation: Control and Numerics
