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Networks & Heterogeneous Media

September 2013 , Volume 8 , Issue 3

Special issue on Mathematics of Traffic Flow Modeling, Estimation and Control

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Special issue on Mathematics of Traffic Flow Modeling, Estimation and Control
Alexandre M. Bayen, Hélène Frankowska, Jean-Patrick Lebacque, Benedetto Piccoli and H. Michael Zhang
2013, 8(3): i-ii doi: 10.3934/nhm.2013.8.3i +[Abstract](1073) +[PDF](90.8KB)
Existence of optima and equilibria for traffic flow on networks
Alberto Bressan and Ke Han
2013, 8(3): 627-648 doi: 10.3934/nhm.2013.8.627 +[Abstract](1108) +[PDF](510.7KB)
Coupling of microscopic and phase transition models at boundary
Mauro Garavello and Benedetto Piccoli
2013, 8(3): 649-661 doi: 10.3934/nhm.2013.8.649 +[Abstract](921) +[PDF](399.2KB)
A dynamical two-dimensional traffic model in an anisotropic network
Tibye Saumtally, Jean-Patrick Lebacque and Habib Haj-Salem
2013, 8(3): 663-684 doi: 10.3934/nhm.2013.8.663 +[Abstract](1061) +[PDF](1460.2KB)
Numerical discretization of Hamilton--Jacobi equations on networks
Simone Göttlich, Ute Ziegler and Michael Herty
2013, 8(3): 685-705 doi: 10.3934/nhm.2013.8.685 +[Abstract](1072) +[PDF](588.3KB)
Viability approach to Hamilton-Jacobi-Moskowitz problem involving variable regulation parameters
Anya Désilles
2013, 8(3): 707-726 doi: 10.3934/nhm.2013.8.707 +[Abstract](761) +[PDF](1491.3KB)
Explicit construction of solutions to the Burgers equation with discontinuous initial-boundary conditions
Anya Désilles and Hélène Frankowska
2013, 8(3): 727-744 doi: 10.3934/nhm.2013.8.727 +[Abstract](1028) +[PDF](778.2KB)
Constructing set-valued fundamental diagrams from Jamiton solutions in second order traffic models
Benjamin Seibold, Morris R. Flynn, Aslan R. Kasimov and Rodolfo R. Rosales
2013, 8(3): 745-772 doi: 10.3934/nhm.2013.8.745 +[Abstract](1295) +[PDF](1439.2KB)
Qualitative analysis of some PDE models of traffic flow
Tong Li
2013, 8(3): 773-781 doi: 10.3934/nhm.2013.8.773 +[Abstract](1025) +[PDF](351.1KB)
Spoofing cyber attack detection in probe-based traffic monitoring systems using mixed integer linear programming
Edward S. Canepa, Alexandre M. Bayen and Christian G. Claudel
2013, 8(3): 783-802 doi: 10.3934/nhm.2013.8.783 +[Abstract](994) +[PDF](1397.0KB)
Markov Chain Monte Carlo based inverse modeling of traffic flows using GPS data
Olli-Pekka Tossavainen and Daniel B. Work
2013, 8(3): 803-824 doi: 10.3934/nhm.2013.8.803 +[Abstract](1098) +[PDF](560.8KB)
Probability hypothesis density filtering for real-time traffic state estimation and prediction
Matthieu Canaud, Lyudmila Mihaylova, Jacques Sau and Nour-Eddin El Faouzi
2013, 8(3): 825-842 doi: 10.3934/nhm.2013.8.825 +[Abstract](1222) +[PDF](1060.3KB)

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