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Modelling and Optimisation of Flows on Networks

Cetraro, Italy 2009, Editors: Benedetto Piccoli, Michel Rascle

Luigi Ambrosio, Alberto Bressan, Dirk Helbing, Axel Klar, Enrique Zuazua (Autoren)

Buch | Softcover

XIV, 497 Seiten

2012
Springer Berlin (Verlag)
978-3-642-32159-7 (ISBN)

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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.

Dirk Helbing, ETH Zürich Chair of Sociology Dept., Theoretical physicist, Worldwide leading scientist in computational social sciences and econophysics/complexity research.

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

Erscheint lt. Verlag	14.12.2012
Reihe/Serie	C.I.M.E. Foundation Subseries
Reihe/Serie	Lecture Notes in Mathematics
Mitarbeit	Anpassung von: Benedetto Piccoli, Michel Rascle
Zusatzinfo	XIV, 497 p. 141 illus., 32 illus. in color.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	765 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	35R02, 35L65, 90B20 • Analysis • optimal transport • Partial differential equations • Traffic Flow • Vehicular traffic
ISBN-10	3-642-32159-3 / 3642321593
ISBN-13	978-3-642-32159-7 / 9783642321597
Zustand	Neuware