C.I.M.E. Foundation Subseries

Modelling and Optimisation of Flows on Networks

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

Authors: Ambrosio, L., Bressan, A., Helbing, D., Klar, A., Zuazua, E.

Editors: Piccoli, Benedetto, Rascle, Michel (Eds.)

  • Rich notes on most recent advances on traffic flow on networks, including control and optimization. Tutorials on conservation laws,,wave equations and optimal transport theory Diverse applications such as vehicular traffic, supply chains and others

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-3-642-32160-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.00
price for USA
  • ISBN 978-3-642-32159-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

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.

Table of contents (9 chapters)

  • A User’s Guide to Optimal Transport

    Ambrosio, Luigi (et al.)

    Pages 1-155

  • Hyperbolic Conservation Laws: An Illustrated Tutorial

    Bressan, Alberto

    Pages 157-245

  • Derivation of Non-local Macroscopic Traffic Equations and Consistent Traffic Pressures from Microscopic Car-Following Models

    Helbing, Dirk

    Pages 247-269

  • On the Controversy Around Daganzo’s Requiem for and Aw–Rascle’s Resurrection of Second-Order Traffic Flow Models

    Helbing, Dirk (et al.)

    Pages 271-302

  • Theoretical vs. Empirical Classification and Prediction of Congested Traffic States

    Helbing, Dirk (et al.)

    Pages 303-333

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-3-642-32160-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.00
price for USA
  • ISBN 978-3-642-32159-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Modelling and Optimisation of Flows on Networks
Book Subtitle
Cetraro, Italy 2009, Editors: Benedetto Piccoli, Michel Rascle
Authors
Editors
  • Benedetto Piccoli
  • Michel Rascle
Series Title
C.I.M.E. Foundation Subseries
Series Volume
2062
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-32160-3
DOI
10.1007/978-3-642-32160-3
Softcover ISBN
978-3-642-32159-7
Edition Number
1
Number of Pages
XIV, 497
Number of Illustrations and Tables
109 b/w illustrations, 32 illustrations in colour
Topics