Comparing traffic state estimators for mixed human and automated traffic flows

Aw, 2000, Resurrection of second order models of traffic flow, SIAM J. Appl. Math., 60, 916, 10.1137/S0036139997332099

Bekiaris-Liberis, N., Roncoli, C., Papageorgiou, M., 2015. Highway traffic state estimation with mixed connected and conventional vehicles using speed measurements. In: Proceedings of the IEEE International Conference on Intelligent Transportation Systems, pp. 2806–2811.

Bekiaris-Liberis, 2016, Highway traffic state estimation with mixed connected and conventional vehicles, IEEE Trans. Intell. Transp. Syst., 99, 1

Bender, 1991, An overview of systems studies of automated highway systems, IEEE Trans. Veh. Technol., 40, 82, 10.1109/25.69977

Benzoni-Gavage, 2003, An n-populations model for traffic flow, Eur. J. Appl. Math., 14, 587, 10.1017/S0956792503005266

Blandin, 2011, A general phase transition model for vehicular traffic, SIAM J. Appl. Math., 71, 107, 10.1137/090754467

Blandin, 2012, On sequential data assimilation for scalar macroscopic traffic flow models, Physica D, 241, 1421, 10.1016/j.physd.2012.05.005

Bose, 2003, Analysis of traffic flow with mixed manual and semiautomated vehicles, IEEE Trans. Intell. Transp. Syst., 4, 173, 10.1109/TITS.2003.821340

Buehler, 2009, vol. 56

Chen, 2011, Real–time freeway traffic state prediction: a particle filter approach, Proceedings of the IEEE Conference Intelligent Transportation Systems, 626

Cremer, 1981, Parameter identification for a traffic flow model, Automatica, 17, 837, 10.1016/0005-1098(81)90071-6

Daganzo, 1994, The cell transmission model: a dynamic representation of highway traffic consistent with the hydrodynamic theory, Transp. Res. Part B: Methodol., 28, 269, 10.1016/0191-2615(94)90002-7

Daganzo, 1995, The cell transmission model, part II: network traffic, Transp. Res. Part B: Methodol., 29, 79, 10.1016/0191-2615(94)00022-R

Davis, 2004, Effect of adaptive cruise control systems on traffic flow, Phys. Rev. E, 69, 066110, 10.1103/PhysRevE.69.066110

Delis, 2015, Macroscopic traffic flow modeling with adaptive cruise control: development and numerical solution, Comput. Math. Appl., 70, 1921, 10.1016/j.camwa.2015.08.002

Diakaki, 2015, Overview and analysis of vehicle automation and communication systems from a motorway traffic management perspective, Transp. Res. Part A: Policy Pract., 75, 147

Doucet, 2009, A tutorial on particle filtering and smoothing: fifteen years later, Handbook Nonlinear Filtering, 12, 3

Edie, L.C., 1965. Discussion of traffic stream measurements and definitions. In: Proceedings of the 2nd International Symposium on the Theory of Road Traffic Flow, pp. 139–154.

Fan, S., 2013. Data-Fitted Generic Second Order Macroscopic Traffic Flow Models, (PhD Thesis). Temple University.

Fan, S., Seibold, B., 2013. A Comparison of Data-Fitted First Order Traffic Models and their Second Order Generalizations Via Trajectory and Sensor Data, arXiv preprint arXiv:1208.0382.

Fan, 2015, A heterogeneous multiclass traffic flow model with creeping, SIAM J. Appl. Math., 75, 813, 10.1137/140977977

Fan, 2014, Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model, Networks Heterogeneous Media, 9, 239, 10.3934/nhm.2014.9.239

Fan, S., Sun, Y., Piccoli, B., Seibold, B., Work, D., 2017. A collapsed generalized Aw-Rascle-Zhang model and its model accuracy, arXiv preprint arXiv: 1702.03624.

Fenton, 1991, Automated highway studies at the Ohio State University-an overview, IEEE Trans. Veh. Technol., 40, 100, 10.1109/25.69978

Gazis, 1971, On-line estimation of traffic densities from time-series of flow and speed data, Transp. Sci., 5, 283, 10.1287/trsc.5.3.283

Godunov, 1959, A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics, Matematicheskii Sbornik, 89, 271

Guériau, 2016, How to assess the benefits of connected vehicles? A simulation framework for the design of cooperative traffic management strategies, Transp. Res. Part C: Emerg. Technol., 67, 266, 10.1016/j.trc.2016.01.020

Helbing, 2001, MASTER: macroscopic traffic simulation based on a gas-kinetic, non-local traffic model, Transp. Res. Part B: Methodol., 35, 183, 10.1016/S0191-2615(99)00047-8

Ioannou, 2013

Jabari, 2013, A stochastic model of traffic flow: Gaussian approximation and estimation, Transp. Res. Part B: Methodol., 47, 15, 10.1016/j.trb.2012.09.004

Kaipio, 2005

Lebacque, J.P., 1993. Les modeles macroscopiques de trafic. In: Annales des Ponts et chaussées, number 67, pp. 24–45.

Lebacque, J.P., Haj-Salem, H., Mammar, S., 2005. Second order traffic flow modeling: supply-demand analysis of the inhomogeneous Riemann problem and of boundary conditions. In: Proceedings of the 10th Euro Working Group on Transportation (EWGT), pp. 108–115.

Lebacque, J.P., Mammar, S., Haj-Salem, H., 2007. Generic second order traffic flow modelling. In: Transportation and Traffic Theory, pp. 755–776.

LeVeque, 1992

Levin, 2016, A multiclass cell transmission model for shared human and autonomous vehicle roads, Transp. Res. Part C: Emerg. Technol., 62, 103, 10.1016/j.trc.2015.10.005

Li, 2004, Modeling of traffic flow of automated vehicles, IEEE Trans. Intell. Transp. Syst., 5, 99, 10.1109/TITS.2004.828170

Li, 2004, Modeling of traffic flow of automated vehicles, IEEE Trans. Intell. Transp. Syst., 5, 99, 10.1109/TITS.2004.828170

Lighthill, M.J., Whitham, G.B., 1955. On kinematic waves II. A theory of traffic flow on long crowded roads, In: Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol. 229, pp. 317–345.

Mihaylova, L., Boel, R., 2004. A particle filter for freeway traffic estimation. In: Proceedings of the IEEE Conference on Decision and Control, pp. 2106–2111.

Mihaylova, 2006, vol. 39

Mihaylova, 2007, Freeway traffic estimation within particle filtering framework, Automatica, 43, 290, 10.1016/j.automatica.2006.08.023

Ngoduy, 2012, Application of gas-kinetic theory to modelling mixed traffic of manual and ACC vehicles, Transportmetrica, 8, 43, 10.1080/18128600903578843

Ngoduy, 2013, Instability of cooperative adaptive cruise control traffic flow: a macroscopic approach, Commun. Nonlinear Sci. Numer. Simul., 18, 2838, 10.1016/j.cnsns.2013.02.007

Ngoduy, 2007, Multiclass first-order simulation model to explain non-linear traffic phenomena, Physica A, 385, 667, 10.1016/j.physa.2007.07.041

Ntousakis, 2015, On microscopic modelling of adaptive cruise control systems, Transp. Res. Procedia, 6, 111, 10.1016/j.trpro.2015.03.010

Papageorgiou, 1983

Polson, N., Sokolov, V., 2014. Bayesian Analysis of Traffic Flow on Interstate I-55: The LWR Model, arXiv preprint arXiv:1409.6034.

Rajamani, 2001, An experimental comparative study of autonomous and co-operative vehicle-follower control systems, Transp. Res. Part C: Emerg. Technol., 9, 15, 10.1016/S0968-090X(00)00021-8

Richards, 1956, Shock waves on the highway, Oper. Res., 4, 42, 10.1287/opre.4.1.42

Ristic, 2004

Roncoli, C., Bekiaris-Liberis, N., Papageorgiou, M., 2016. Highway traffic state estimation using speed measurements: case studies on NGSIM data and Highway A20 in the Netherlands, In: Proceedings of the Transportation Research Board 95th Annual Meeting, number 16-2071.

Sau, 2007, Particle filter-based real-time estimation and prediction of traffic conditions, Appl. Stoch. Models Data Anal., 12, 10.1142/9789812709691_0049

Seo, 2015, Estimation of flow and density using probe vehicles with spacing measurement equipment, Transp. Res. Part C: Emerg. Technol., 53, 134, 10.1016/j.trc.2015.01.033

Shladover, 1995, Review of the state of development of advanced vehicle control systems (AVCS), Vehicle Syst. Dynam., 24, 551, 10.1080/00423119508969108

Shladover, 1991, Automated vehicle control developments in the PATH program, IEEE Trans. Veh. Technol., 40, 114, 10.1109/25.69979

Shladover, 2012, Impacts of cooperative adaptive cruise control on freeway traffic flow, Transp. Res. Record: J. Transp. Res. Board, 2324, 63, 10.3141/2324-08

Smulders, 1990, Control of freeway traffic flow by variable speed signs, Transp. Res. Part B: Methodol., 24, 111, 10.1016/0191-2615(90)90023-R

Sun, Y., Work, D., 2014. A distributed local kalman consensus filter for traffic estimation. In: Proceedings of the IEEE Conference on Decision and Control, pp. 6484–6491.

Sun, X, Muñoz, L., Horowitz, R., 2004. Mixture Kalman filter based highway congestion mode and vehicle density estimator and its application. In: Proceedings of the American Control Conference, vol. 3, pp. 2098–2103.

Szeto, 1972, Application of Kalman filtering to the surveillance and control of traffic systems, Transp. Sci., 6, 419, 10.1287/trsc.6.4.419

Talebpour, A., Mahmassani, H.S., 2015. Influence of autonomous and connected vehicles on stability of traffic flow. In: Proceedings of the Transportation Research Board 94th Annual Meeting, Number 15-5971.

Van Arem, 2006, The impact of cooperative adaptive cruise control on traffic-flow characteristics, IEEE Trans. Intell. Transp. Syst., 7, 429, 10.1109/TITS.2006.884615

Van Lint, 2008, Fastlane: new multiclass first-order traffic flow model, Transp. Res. Rec.: J. Transp. Res. Board, 177, 10.3141/2088-19

Van Wageningen-Kessels, 2010, Lagrangian formulation of multiclass kinematic wave model, Transp. Res. Rec.: J. Transp. Res. Board, 29, 10.3141/2188-04

Wang, 2005, Real-time freeway traffic state estimation based on extended Kalman filter: a general approach, Transp. Res. Part B: Methodol., 39, 141, 10.1016/j.trb.2004.03.003

Wang, 2009, An adaptive freeway traffic state estimator, Automatica, 45, 10, 10.1016/j.automatica.2008.05.019

Wang, 2016, Multiple model particle filter for traffic estimation and incident detection, IEEE Trans. Intell. Transp. Syst., 1, 10.1109/TITS.2016.2606347

Wong, 2002, A multi-class traffic flow model–an extension of LWR model with heterogeneous drivers, Transp. Res. Part A: Policy Pract., 36, 827

Work, 2010, A traffic model for velocity data assimilation, Appl. Math. Res. eXpress, 2010, 1

Yuan, 2012, Real-time Lagrangian traffic state estimator for freeways, IEEE Trans. Intell. Transp. Syst., 13, 59, 10.1109/TITS.2011.2178837

Zhang, 2002, A non-equilibrium traffic model devoid of gas-like behavior, Transp. Res. Part B: Methodol., 36, 275, 10.1016/S0191-2615(00)00050-3

Zhang, 2002, Kinematic wave traffic flow model for mixed traffic, Transp. Res. Rec.: J. Transp. Res. Board, 197, 10.3141/1802-22

Zhang, 2003, A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill–Whitham–Richards traffic flow model, J. Comput. Phys., 191, 639, 10.1016/S0021-9991(03)00344-9

Zhang, 2009, A conserved higher-order anisotropic traffic flow model: description of equilibrium and non-equilibrium flows, Transp. Res. Part B: Methodol., 43, 562, 10.1016/j.trb.2008.10.001