-
Previous Article
A justification of a LWR model based on a follow the leader description
- DCDS-S Home
- This Issue
-
Next Article
Free-congested and micro-macro descriptions of traffic flow
Computing travel times from filtered traffic states
1. | Telenav, Inc, 950 De Guigne Dr, Sunnyvale, CA 94085, United States |
2. | Microsoft, 1065 La Avenida St, Mountain View, CA 94043 |
3. | University of Illinois at Urbana-Champaign, 1203 Newmark Civil Engineering Laboratory, 205 N. Mathews Ave, Urbana, IL 61801 |
References:
[1] |
A. Alessandri, R. Bolla and M. Repetto, Estimation of freeway traffic variables using information from mobile phones, in Proc. of the American Control Conference, 2003, 4089-4094. |
[2] |
V. Astarita and M. Florianz, The use of mobile phones in traffic management and control, in Proc. of the IEEE Intelligent Transportation Systems Conference, 2001, 10-15.
doi: 10.1109/ITSC.2001.948621. |
[3] |
H. Bar-Gera, Evaluation of a cellular phone-based system for measurements of traffic speeds and travel times: A case study from Israel, Transportation Research Part C: Emerging Technologies, 15 (2007), 380-391.
doi: 10.1016/j.trc.2007.06.003. |
[4] |
S. Blandin, G. Bretti, A. Cutolo and B. Piccoli, Numerical simulations of traffic data via fluid dynamic approach, Applied Mathematics and Computation, 210 (2009), 441-454.
doi: 10.1016/j.amc.2009.01.057. |
[5] |
G. Bretti and B. Piccoli, A tracking algorithm for car paths on road networks, SIAM Journal on Applied Dynamical Systems, 7 (2008), 510-531.
doi: 10.1137/070697768. |
[6] |
Caltrans, Performance Measurement System (PeMS),, , ().
|
[7] |
H. Chen and H. A. Rakha, Prediction of dynamic freeway travel times based on vehicle trajectory construction, in Proc. of the IEEE Intelligent Transportation Systems Conference, 2012, 576-581.
doi: 10.1109/ITSC.2012.6338825. |
[8] |
P. Cheng, Z. Qiu and B. Ran, Particle filter based traffic state estimation using cell phone network data, in Proc. of the IEEE Intelligent Transportation Systems Conference, 2006, 1047-1052. |
[9] |
R. Colombo, Hyperbolic phase transitions in traffic flow, SIAM Journal on Applied Mathematics, 63 (2002), 708-721.
doi: 10.1137/S0036139901393184. |
[10] |
E. Cristiani, C. de Fabritiis and B. Piccoli, A fluid dynamic approach for traffic forecast from mobile sensor data, Communications in Applied and Industrial Mathematics, 1 (2010), 54-71. |
[11] |
C. F. Daganzo, The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory, Transportation Research Part B: Methodological, 28 (1994), 269-287.
doi: 10.1016/0191-2615(94)90002-7. |
[12] |
C. F. Daganzo, The cell transmission model, part II: network traffic, Transportation Research Part B: Methodological, 29 (1995), 79-93.
doi: 10.1016/0191-2615(94)00022-R. |
[13] |
G. Evensen, Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics, Journal of Geophysical Research, 99 (1994), 10143-10162.
doi: 10.1029/94JC00572. |
[14] |
G. Evensen, The ensemble Kalman filter: Theoretical formulation and practical implementation, Ocean Dynamics, 53 (2003), 343-367.
doi: 10.1007/s10236-003-0036-9. |
[15] |
M. Garavello and B. Piccoli, Traffic Flow on Networks, American Institute of Mathematical Sciences, Springfield, MO, 2006. |
[16] |
J.-C. Herrera and A. Bayen, Incorporation of Lagrangian measurements in freeway traffic state estimation, Transportation Research Part B: Methodological, 44 (2010), 460-481.
doi: 10.1016/j.trb.2009.10.005. |
[17] |
J.-C. Herrera, D. Work, R. Herring, J. Ban, Q. Jacobson and A. Bayen, Evaluation of traffic data obtained via GPS-enabled mobile phones: the Mobile Century experiment, Transportation Research Part C: Emerging Technologies, 18 (2010), 568-583.
doi: 10.1016/j.trc.2009.10.006. |
[18] |
B. Hoh, M. Gruteser, R. Herring, J. Ban, D. Work, J.-C. Herrera, A. Bayen, M. Annavaram and Q. Jacobson., Virtual trip lines for distributed privacy-preserving traffic monitoring, in 6th International Conference on Mobile Systems, Applications, and Services, 2008, 15-28.
doi: 10.1145/1378600.1378604. |
[19] |
R. E. Kalman, A new approach to linear filtering and prediction problems, Transactions of the ASME Journal of Basic Engineering, 82 (1960), 35-45.
doi: 10.1115/1.3662552. |
[20] |
J. Kwon, K. Petty and P. Varaiya, Probe vehicle runs or loop detectors? Transportation Research Record, 2012 (2007), 57-63.
doi: 10.3141/2012-07. |
[21] |
M. Lighthill and G. Whitham, On kinematic waves. II. A theory of traffic flow on long crowded roads, Proc. Roy. Soc. London. Ser. A, 229 (1955), 317-345.
doi: 10.1098/rspa.1955.0089. |
[22] |
H. Liu, A. Danczyk, R. Brewer and R. Starr, Evaluation of cell phone traffic data in minnesota, Transportation Research Record, 2086 (2008), 1-7.
doi: 10.3141/2086-01. |
[23] |
P.-E. Mazaré, O.-P. Tossavainen, A. Bayen and D. Work, Trade-offs between inductive loops and GPS probe vehicles for travel time estimation: A Mobile Century case study, in Proc. of the Transportation Research Board 91st Annual Meeting, 2012. |
[24] |
P. I. Richards, Shock waves on the highway, Operations Research, 4 (1956), 42-51.
doi: 10.1287/opre.4.1.42. |
[25] |
B. Smith, H. Zhang, M. Fontaine and M. Green, Cell Phone Probes as an ATMS Tool, Technical Report UVACTS-15-5-79, University of Virginia Center for Transportation Studies, 2003. |
[26] |
S. Smulders, Control of freeway traffic flow by variable speed signs, Transportation Research Part B: Methodological, 24 (1990), 111-132.
doi: 10.1016/0191-2615(90)90023-R. |
[27] |
D. Work, S. Blandin, O.-P. Tossavainen, B. Piccoli and A. Bayen, A traffic model for velocity data assimilation, Applied Mathematics Research Express, 2010 (2010), 1-35. |
[28] |
J. L. Ygnace, C. Drane, Y. B. Yim and R. de Lacvivier, Travel Time Estimation on the San Francisco Bay Area Network Using Cellular Phones as Probes, Technical Report UCB-ITS-PWP-2000-18, University of California Berkeley Institute of Transportation Studies, 2000. |
[29] |
Y. Yim and R. Cayford, Investigation of Vehicles as Probes Using Global Positioning System and Cellular Phone Tracking: Field Operational Test, Technical Report UCB-ITS-PWP-2001-9, University of California Berkeley Institute of Transportation Studies, 2001. |
[30] |
, Mobile Millennium,, , ().
|
show all references
References:
[1] |
A. Alessandri, R. Bolla and M. Repetto, Estimation of freeway traffic variables using information from mobile phones, in Proc. of the American Control Conference, 2003, 4089-4094. |
[2] |
V. Astarita and M. Florianz, The use of mobile phones in traffic management and control, in Proc. of the IEEE Intelligent Transportation Systems Conference, 2001, 10-15.
doi: 10.1109/ITSC.2001.948621. |
[3] |
H. Bar-Gera, Evaluation of a cellular phone-based system for measurements of traffic speeds and travel times: A case study from Israel, Transportation Research Part C: Emerging Technologies, 15 (2007), 380-391.
doi: 10.1016/j.trc.2007.06.003. |
[4] |
S. Blandin, G. Bretti, A. Cutolo and B. Piccoli, Numerical simulations of traffic data via fluid dynamic approach, Applied Mathematics and Computation, 210 (2009), 441-454.
doi: 10.1016/j.amc.2009.01.057. |
[5] |
G. Bretti and B. Piccoli, A tracking algorithm for car paths on road networks, SIAM Journal on Applied Dynamical Systems, 7 (2008), 510-531.
doi: 10.1137/070697768. |
[6] |
Caltrans, Performance Measurement System (PeMS),, , ().
|
[7] |
H. Chen and H. A. Rakha, Prediction of dynamic freeway travel times based on vehicle trajectory construction, in Proc. of the IEEE Intelligent Transportation Systems Conference, 2012, 576-581.
doi: 10.1109/ITSC.2012.6338825. |
[8] |
P. Cheng, Z. Qiu and B. Ran, Particle filter based traffic state estimation using cell phone network data, in Proc. of the IEEE Intelligent Transportation Systems Conference, 2006, 1047-1052. |
[9] |
R. Colombo, Hyperbolic phase transitions in traffic flow, SIAM Journal on Applied Mathematics, 63 (2002), 708-721.
doi: 10.1137/S0036139901393184. |
[10] |
E. Cristiani, C. de Fabritiis and B. Piccoli, A fluid dynamic approach for traffic forecast from mobile sensor data, Communications in Applied and Industrial Mathematics, 1 (2010), 54-71. |
[11] |
C. F. Daganzo, The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory, Transportation Research Part B: Methodological, 28 (1994), 269-287.
doi: 10.1016/0191-2615(94)90002-7. |
[12] |
C. F. Daganzo, The cell transmission model, part II: network traffic, Transportation Research Part B: Methodological, 29 (1995), 79-93.
doi: 10.1016/0191-2615(94)00022-R. |
[13] |
G. Evensen, Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics, Journal of Geophysical Research, 99 (1994), 10143-10162.
doi: 10.1029/94JC00572. |
[14] |
G. Evensen, The ensemble Kalman filter: Theoretical formulation and practical implementation, Ocean Dynamics, 53 (2003), 343-367.
doi: 10.1007/s10236-003-0036-9. |
[15] |
M. Garavello and B. Piccoli, Traffic Flow on Networks, American Institute of Mathematical Sciences, Springfield, MO, 2006. |
[16] |
J.-C. Herrera and A. Bayen, Incorporation of Lagrangian measurements in freeway traffic state estimation, Transportation Research Part B: Methodological, 44 (2010), 460-481.
doi: 10.1016/j.trb.2009.10.005. |
[17] |
J.-C. Herrera, D. Work, R. Herring, J. Ban, Q. Jacobson and A. Bayen, Evaluation of traffic data obtained via GPS-enabled mobile phones: the Mobile Century experiment, Transportation Research Part C: Emerging Technologies, 18 (2010), 568-583.
doi: 10.1016/j.trc.2009.10.006. |
[18] |
B. Hoh, M. Gruteser, R. Herring, J. Ban, D. Work, J.-C. Herrera, A. Bayen, M. Annavaram and Q. Jacobson., Virtual trip lines for distributed privacy-preserving traffic monitoring, in 6th International Conference on Mobile Systems, Applications, and Services, 2008, 15-28.
doi: 10.1145/1378600.1378604. |
[19] |
R. E. Kalman, A new approach to linear filtering and prediction problems, Transactions of the ASME Journal of Basic Engineering, 82 (1960), 35-45.
doi: 10.1115/1.3662552. |
[20] |
J. Kwon, K. Petty and P. Varaiya, Probe vehicle runs or loop detectors? Transportation Research Record, 2012 (2007), 57-63.
doi: 10.3141/2012-07. |
[21] |
M. Lighthill and G. Whitham, On kinematic waves. II. A theory of traffic flow on long crowded roads, Proc. Roy. Soc. London. Ser. A, 229 (1955), 317-345.
doi: 10.1098/rspa.1955.0089. |
[22] |
H. Liu, A. Danczyk, R. Brewer and R. Starr, Evaluation of cell phone traffic data in minnesota, Transportation Research Record, 2086 (2008), 1-7.
doi: 10.3141/2086-01. |
[23] |
P.-E. Mazaré, O.-P. Tossavainen, A. Bayen and D. Work, Trade-offs between inductive loops and GPS probe vehicles for travel time estimation: A Mobile Century case study, in Proc. of the Transportation Research Board 91st Annual Meeting, 2012. |
[24] |
P. I. Richards, Shock waves on the highway, Operations Research, 4 (1956), 42-51.
doi: 10.1287/opre.4.1.42. |
[25] |
B. Smith, H. Zhang, M. Fontaine and M. Green, Cell Phone Probes as an ATMS Tool, Technical Report UVACTS-15-5-79, University of Virginia Center for Transportation Studies, 2003. |
[26] |
S. Smulders, Control of freeway traffic flow by variable speed signs, Transportation Research Part B: Methodological, 24 (1990), 111-132.
doi: 10.1016/0191-2615(90)90023-R. |
[27] |
D. Work, S. Blandin, O.-P. Tossavainen, B. Piccoli and A. Bayen, A traffic model for velocity data assimilation, Applied Mathematics Research Express, 2010 (2010), 1-35. |
[28] |
J. L. Ygnace, C. Drane, Y. B. Yim and R. de Lacvivier, Travel Time Estimation on the San Francisco Bay Area Network Using Cellular Phones as Probes, Technical Report UCB-ITS-PWP-2000-18, University of California Berkeley Institute of Transportation Studies, 2000. |
[29] |
Y. Yim and R. Cayford, Investigation of Vehicles as Probes Using Global Positioning System and Cellular Phone Tracking: Field Operational Test, Technical Report UCB-ITS-PWP-2001-9, University of California Berkeley Institute of Transportation Studies, 2001. |
[30] |
, Mobile Millennium,, , ().
|
[1] |
Wen Shen. Traveling waves for conservation laws with nonlocal flux for traffic flow on rough roads. Networks and Heterogeneous Media, 2019, 14 (4) : 709-732. doi: 10.3934/nhm.2019028 |
[2] |
Michael Herty, J.-P. Lebacque, S. Moutari. A novel model for intersections of vehicular traffic flow. Networks and Heterogeneous Media, 2009, 4 (4) : 813-826. doi: 10.3934/nhm.2009.4.813 |
[3] |
Michael Herty, S. Moutari, M. Rascle. Optimization criteria for modelling intersections of vehicular traffic flow. Networks and Heterogeneous Media, 2006, 1 (2) : 275-294. doi: 10.3934/nhm.2006.1.275 |
[4] |
Alberto Bressan, Khai T. Nguyen. Conservation law models for traffic flow on a network of roads. Networks and Heterogeneous Media, 2015, 10 (2) : 255-293. doi: 10.3934/nhm.2015.10.255 |
[5] |
Michael Herty, Lorenzo Pareschi, Mohammed Seaïd. Enskog-like discrete velocity models for vehicular traffic flow. Networks and Heterogeneous Media, 2007, 2 (3) : 481-496. doi: 10.3934/nhm.2007.2.481 |
[6] |
Alexandre M. Bayen, Hélène Frankowska, Jean-Patrick Lebacque, Benedetto Piccoli, H. Michael Zhang. Special issue on Mathematics of Traffic Flow Modeling, Estimation and Control. Networks and Heterogeneous Media, 2013, 8 (3) : i-ii. doi: 10.3934/nhm.2013.8.3i |
[7] |
Yacine Chitour, Benedetto Piccoli. Traffic circles and timing of traffic lights for cars flow. Discrete and Continuous Dynamical Systems - B, 2005, 5 (3) : 599-630. doi: 10.3934/dcdsb.2005.5.599 |
[8] |
Pierre Degond, Marcello Delitala. Modelling and simulation of vehicular traffic jam formation. Kinetic and Related Models, 2008, 1 (2) : 279-293. doi: 10.3934/krm.2008.1.279 |
[9] |
Nicola Bellomo, Abdelghani Bellouquid, Juanjo Nieto, Juan Soler. On the multiscale modeling of vehicular traffic: From kinetic to hydrodynamics. Discrete and Continuous Dynamical Systems - B, 2014, 19 (7) : 1869-1888. doi: 10.3934/dcdsb.2014.19.1869 |
[10] |
Michael Herty, Adrian Fazekas, Giuseppe Visconti. A two-dimensional data-driven model for traffic flow on highways. Networks and Heterogeneous Media, 2018, 13 (2) : 217-240. doi: 10.3934/nhm.2018010 |
[11] |
Guillaume Costeseque, Jean-Patrick Lebacque. Discussion about traffic junction modelling: Conservation laws VS Hamilton-Jacobi equations. Discrete and Continuous Dynamical Systems - S, 2014, 7 (3) : 411-433. doi: 10.3934/dcdss.2014.7.411 |
[12] |
Mary Luz Mouronte, Rosa María Benito. Structural analysis and traffic flow in the transport networks of Madrid. Networks and Heterogeneous Media, 2015, 10 (1) : 127-148. doi: 10.3934/nhm.2015.10.127 |
[13] |
Gabriella Bretti, Roberto Natalini, Benedetto Piccoli. Numerical approximations of a traffic flow model on networks. Networks and Heterogeneous Media, 2006, 1 (1) : 57-84. doi: 10.3934/nhm.2006.1.57 |
[14] |
Gabriella Bretti, Roberto Natalini, Benedetto Piccoli. Fast algorithms for the approximation of a traffic flow model on networks. Discrete and Continuous Dynamical Systems - B, 2006, 6 (3) : 427-448. doi: 10.3934/dcdsb.2006.6.427 |
[15] |
Johanna Ridder, Wen Shen. Traveling waves for nonlocal models of traffic flow. Discrete and Continuous Dynamical Systems, 2019, 39 (7) : 4001-4040. doi: 10.3934/dcds.2019161 |
[16] |
Tong Li. Qualitative analysis of some PDE models of traffic flow. Networks and Heterogeneous Media, 2013, 8 (3) : 773-781. doi: 10.3934/nhm.2013.8.773 |
[17] |
Paola Goatin. Traffic flow models with phase transitions on road networks. Networks and Heterogeneous Media, 2009, 4 (2) : 287-301. doi: 10.3934/nhm.2009.4.287 |
[18] |
Rinaldo M. Colombo, Andrea Corli. Dynamic parameters identification in traffic flow modeling. Conference Publications, 2005, 2005 (Special) : 190-199. doi: 10.3934/proc.2005.2005.190 |
[19] |
Alberto Bressan, Ke Han. Existence of optima and equilibria for traffic flow on networks. Networks and Heterogeneous Media, 2013, 8 (3) : 627-648. doi: 10.3934/nhm.2013.8.627 |
[20] |
Alberto Bressan, Fang Yu. Continuous Riemann solvers for traffic flow at a junction. Discrete and Continuous Dynamical Systems, 2015, 35 (9) : 4149-4171. doi: 10.3934/dcds.2015.35.4149 |
2020 Impact Factor: 2.425
Tools
Metrics
Other articles
by authors
[Back to Top]