Highway Traffic State Estimation With Mixed Connected and Conventional Vehicles, IEEE Transactions on Intelligent Transportation Systems, vol.17, issue.12, pp.3484-3497, 2016. ,
DOI : 10.1109/TITS.2016.2552639
URL : http://arxiv.org/pdf/1504.06879
On sequential data assimilation for scalar macroscopic traffic flow models, Physica D: Nonlinear Phenomena, vol.241, issue.17, pp.2411421-1440, 2012. ,
DOI : 10.1016/j.physd.2012.05.005
Numerical approximations of a traffic flow model on networks. Networks and Heterogeneous Media, pp.57-84, 2006. ,
Networked traffic state estimation involving mixed fixed-mobile sensor data using Hamilton-Jacobi equations, Transportation Research Part B: Methodological, vol.104, 2016. ,
DOI : 10.1016/j.trb.2017.05.016
URL : http://arxiv.org/pdf/1606.03332
The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory, Transportation Research Part B: Methodological, vol.28, issue.4, pp.269-287, 1994. ,
DOI : 10.1016/0191-2615(94)90002-7
The cell transmission model, part II: Network traffic, Transportation Research Part B: Methodological, vol.29, issue.2, pp.79-93, 1995. ,
DOI : 10.1016/0191-2615(94)00022-R
Traffic state estimation and uncertainty quantification based on heterogeneous data sources: A three detector approach, Transportation Research Part B: Methodological, vol.57, pp.132-157, 2013. ,
DOI : 10.1016/j.trb.2013.08.015
Data fusion in intelligent transportation systems: Progress and challenges ??? A survey, Information Fusion, vol.12, issue.1, pp.4-10, 2011. ,
DOI : 10.1016/j.inffus.2010.06.001
Models for vehicular traffic on networks, 2016. ,
Towards scalable optimal traffic control, 2015 54th IEEE Conference on Decision and Control (CDC), pp.2016-2175, 2016. ,
DOI : 10.1109/CDC.2015.7402529
URL : https://hal.archives-ouvertes.fr/hal-01188811
The Godunov scheme and what it means for first order traffic flow models, International Symposium on Transportation and Traffic Theory, pp.647-677, 1996. ,
On Kinematic Waves. II. A Theory of Traffic Flow on Long Crowded Roads, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.229, issue.1178, pp.317-345, 1178. ,
DOI : 10.1098/rspa.1955.0089
Data fusion algorithms for density reconstruction in road transportation networks, 2015 54th IEEE Conference on Decision and Control (CDC), pp.2804-2809, 2015. ,
DOI : 10.1109/CDC.2015.7402641
URL : https://hal.archives-ouvertes.fr/hal-01185523
Density/Flow reconstruction via heterogeneous sources and Optimal Sensor Placement in road networks, Transportation Research Part C: Emerging Technologies, vol.69, pp.451-476, 2016. ,
DOI : 10.1016/j.trc.2016.06.019
URL : https://hal.archives-ouvertes.fr/hal-01375928
Canudas de Wit, and I. Bellicot. A new robust approach for highway traffic density estimation, 2014 European Control Conference (ECC), pp.2575-2580, 2014. ,
A simplified theory of kinematic waves in highway traffic, part II: Queueing at freeway bottlenecks, Transportation Research Part B: Methodological, vol.27, issue.4, pp.289-303, 1993. ,
DOI : 10.1016/0191-2615(93)90039-D
Shock Waves on the Highway, Operations Research, vol.4, issue.1, pp.42-51, 1956. ,
DOI : 10.1287/opre.4.1.42
Traffic state estimation on highway: A comprehensive survey, Annual Reviews in Control, vol.43, pp.128-151, 2017. ,
DOI : 10.1016/j.arcontrol.2017.03.005
RENAISSANCE ??? A unified macroscopic model-based approach to real-time freeway network traffic surveillance, Transportation Research Part C: Emerging Technologies, vol.14, issue.3, pp.190-212, 2006. ,
DOI : 10.1016/j.trc.2006.06.001
An adaptive freeway traffic state estimator, Automatica, vol.45, issue.1, pp.10-24, 2009. ,
DOI : 10.1016/j.automatica.2008.05.019
URL : https://art.torvergata.it/bitstream/2108/18275/5/AUTOMATICA.pdf
A Traffic Model for Velocity Data Assimilation, Applied Mathematics Research eXpress, vol.39, issue.1, pp.20101-20136, 2010. ,
DOI : 10.1287/opre.4.1.42