Traffic flow on networks

Mauro Garavello, Benedetto Piccoli1601330006, 9781601330000

This book is devoted to macroscopic models for traffic on a network, with possible applications to car traffic, telecommunications and supply-chains. The rapidly increasing number of circulating cars in modern cities renders the problem of traffic control of paramount importance, affecting productivity, pollution, life-style etc. The solution of the such problems has thus great socio-economical impact. Starting from classical and recent fluid-dynamic approaches to describe car traffic on a single road, the book develops an original theory to deal with arbitrarily complex networks. Moreover, efficient numerical schemes are obtained, real urban networks are well described and tests with real data are convenient and easy to implement. This book has no competitors in this field and will certainly be welcome by the applied math community. The choice of topics covered in the book and its overall presentation are very good. This is a quite nice manuscript, mathematically oriented, but strongly motivated by very applied questions. It is very clearly written.