04121nam 2200685Ia 450 991043815380332120200520144314.03-642-32160-710.1007/978-3-642-32160-3(CKB)3400000000102755(SSID)ssj0000880041(PQKBManifestationID)11546667(PQKBTitleCode)TC0000880041(PQKBWorkID)10853712(PQKB)11035055(DE-He213)978-3-642-32160-3(MiAaPQ)EBC3070969(PPN)168321122(EXLCZ)99340000000010275520120702d2013 uy 0engurnn#008mamaatxtccrModelling and optimisation of flows on networks Cetraro, Italy 2009 /Luigi Ambrosio ... [et al.] ; editors, Benedetto Piccoli, Michel Rascle1st ed. 2013.Heidelberg ;New York Springerc20131 online resource (XIV, 497 p. 141 illus., 32 illus. in color.)Lecture notes in mathematics,0075-8434 ;2062.CIME foundation subseries"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.3-642-32159-3 Includes bibliographical references.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.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.Lecture notes in mathematics (Springer-Verlag) ;2062.0075-8434Lecture notes in mathematics (Springer-Verlag).CIME foundation subseries.Modelling and optimisation of flows on networksDifferential equations, PartialCongressesMathematical optimizationCongressesTraffic flowMathematical modelsCongressesDifferential equations, PartialMathematical optimizationTraffic flowMathematical models003Ambrosio Luigi44009Bressan Alberto1956-521248Helbing Dirk521591Klar Axel510141Zuazua E(Enrique)521592Piccoli Benedetto1968-760536Rascle M.1947-42658C.I.M.E. Summer School(2009 :Cetraro, Italy)MiAaPQMiAaPQMiAaPQBOOK9910438153803321Modelling and optimisation of flows on networks4198442UNINA