Models for vehicular traffic on networks (Q2832410)

The present book deals with a theory of modeling, analyzing, computing, and optimizing traffic flows on networks based on conservation laws. It consists of 10 Chapters, 2 Appendices and 280 References on 474 pages.NEWLINENEWLINEChapter 1 devotes to the Introduction giving a review of some traffic flow models, examples and the state-of-the-art.NEWLINENEWLINEChapter 2, Macroscopic and Mesoscopic Traffic Models, treats first- and higher-order macroscopic and mesoscopic conservation law models on links or highway segments.NEWLINENEWLINEChapter 3, Models for Traffic on Networks, deals with a theory of traffic network modeling based on the articulation of link dynamics and junction models.NEWLINENEWLINEChapter 4, Mathematical Theory for Traffic on Networks, presents the theoretical aspects of network traffic models. Rigorous mathematical results regarding solutions existence, uniqueness, and well-posedness are given based on the mathematical tools of Riemann problems, wave front tracking algorithms, and generalized tangent vectors, etc.NEWLINENEWLINEChapter 5, Source Destination and Buffer Models, extends the previous models to include sources and destinations of traffic and sets the foundation for the study of dynamic traffic assignment problems treated later.NEWLINENEWLINEChapter 6, Dynamic Traffic Assignment, incorporates drivers' route and departure time choice principles. It primarily focuses on the theory and computation of dynamic user balance.NEWLINENEWLINEChapter 7, Control of Traffic at Junctions, presents and analyses several examples of traffic control and regulation at junctions, including traffic signal modeling and optimization, as well as roundabout design and management.NEWLINENEWLINEChapter 8, Car Paths, Bottlenecks and Flux Limiters, treats several scenarios involving heterogeneous network environments such as moving bottlenecks, car paths, and flux limiters.NEWLINENEWLINEChapter 9, Numerical Approaches, concentrates on the numerical implementation of computational algorithms for traffic flow on networks giving the performance of several numerical methods in terms of accuracy, convergence, and efficiency.NEWLINENEWLINEChapter 10, Applications, shows the real-world relevance of the models presented so far by showing four specific application problems in transportation, namely traffic monitoring and estimation, network signal optimization incorporating drivers' routing strategies, real-time signal control on networks, and traffic data fusion.NEWLINENEWLINEEach Chapter ends with a Bibliographic Note.NEWLINENEWLINEIn my opinion the present book is carefully written, the authors are expert on this topic but it will have a limited readership due to the specific area and rigorous mathematical treatment. It is recommended to applied mathematicians and traffic experts.