Modelling and optimisation of flows on networks: Cetraro, Italy 2009 / Luigi Ambrosio .. [et al.]. ; ed by Benedetto Piccoli and Michel Rascle.Series: Publisher: New York : Springer, 2013Description: xiv, 497 p. illISBN: 9783642321597Subject(s): Differential equations, Partial-Congresses | Mathematical optimization-Congresses | Traffic flow-Mathematical models-CongressesDDC classification: 511.5 Online resources: Click here to access online
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"The present volume collects notes from lectures delivered for the CIME course on Modelling and optimisation of flows on networks, held in Cetraro in the summer of 2009."--P. vii.
Includes bibliographical references.
A user's guide to optimal transport / Luigi Ambrosio and Nicola Gigli -- Hyperbolic conservation laws : an illustrated tutorial / Alberto Bressan -- Derivation of non-local macroscopic traffic equations and consistent traffic pressures from microscopic car-following models / Dirk Helbing -- On the controversy around Daganzo's requiem for and Aw-Rascle's resurrection of the second-order traffic flow models / Dirk Helbing and Anders Johansson -- Theoretical vs. empirical classification and prediction of congested traffic states / Dirk Helbing, Martin Treiber, Arne Kesting, and Martin Schönhof -- Self-organized network flows / Dirk Helbing, Jan Siegmeier, and Stefan Lämmer -- Operation regimes and slower-is-faster-effect in the control of traffic intersections / Dirk Helbing and Amin Mazloumian -- Modeling and optimization of scalar flows on networks / Simone Göttlich and Axel Klar -- Control and stabilization of waves on 1-d networks / Enrique Zuazua.