An adaptive time gap car-following model

Transportation Research Part B: Methodological

Volumn 44, Issue 8-9, 2010, Pages 1115-1131

  Tordeux, Antoine ^a,b   Lassarre, Sylvain ^a   Roussignol, Michel ^b  

^a UNIVERSITÉ GUSTAVE EIFFEL   (France)

^b UFR des Sciences et Technologie   (France)

Author keywords

Car following; Kinematic waves emergence; Maximum likelihood estimation; Simulation; Traffic

Indexed keywords

KINEMATICS; MAXIMUM LIKELIHOOD; MAXIMUM LIKELIHOOD ESTIMATION; TELECOMMUNICATION TRAFFIC; TRAFFIC CONTROL; VEHICLES;

CAR FOLLOWING; CAR FOLLOWING MODELS; DIFFERENTIAL SYSTEMS; ESTIMATED PARAMETER; HETEROGENEOUS TRAFFIC FLOW; KINEMATIC WAVES; NUMERICAL SCHEME; SIMULATION;

PARAMETER ESTIMATION;

AUTOMOBILE; ESTIMATION METHOD; MAXIMUM LIKELIHOOD ANALYSIS; MODELING; PERCEPTION; TRANSPORTATION SAFETY;

EID: 77954457780     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2009.12.018     Document Type: Article

References (46)

1. Aw A., Klar A., Materne T., Rascle M. Derivation of continuum traffic flow models from microscopic follow-the-leader models. SIAM Journal on Applied Mathematics 2002, 63(1):259-278.
2. Bando M., Hasebe K. Dynamical model of traffic congestion and numerical simulation. Physical Review E 1995, 51(2):1035-1042.
3. Bando M., Nakanishi K., Nakayama A. Analysis of optimal velocity model with explicit delay. Physical Review E 1998, 58(5):5429-5435.
4. Banks J.H. Investigation of some characteristics of congested flow. Transportation Research Record 1999, 1678:128-134.
5. Banks J.H. Average time gaps in congested freeway flow. Transportation Research Part A 2003, 37(6):539-554.
6. Belisle C.J.P. Convergence theorems for a class of simulated annealing algorithms on Rd. Journal of Applied Probability 1992, 29(4):885-895.
7. Bierley R.L. Investigation of an inter vehicle spacing display. Highway Research Record 1963, 25:58-75.
8. Brockfeld E., Kuhne R.D., Wagner P. Calibration and validation of microscopic traffic flow models. Transportation Research Record 2004, 1876:62-70.
9. Carré, J.-R., Lassarre, S., Liger, M., 1985. Fluidité - Sécurité: faut-il choisir? (2e partie). T.E.C. 69 Mars-Avril, pp. 8-15.
10. Chandler F.E., Herman R., Montroll E.W. Traffic dynamics: studies in car following. Operations Research 1958, 6(2):165-184.
11. Dempster A.P., Laird N.M., Rubin D.B. Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society B 1977, 39(1):1-38.
12. Duret A., Buisson C., Chiabaut N. Estimating individual speed-spacing relationship and assessing ability of Newell's car-following model to reproduce trajectories. Transportation Research Record 2008, 2088:188-197.
13. Edie L.C. Car-following and steady state theory for non-congested traffic. Operation Research 1961, 9(1):66-76.
14. Eissfeldt N., Wagner P. Effects of anticipatory driving in a traffic flow model. The European Physical Journal B 2003, 33(1):121-129.
15. Gazis D.C., Herman R., Rothery R.W. Non-linear follow-the-leader models of traffic flow. Operations Research 1961, 9(4):545-567.
16. Gipps P.G. A behavioural car-following model for computer simulation. Transportation Research Part B 1981, 15(2):105-111.
17. Goldstein H. Multilevel Statistical Models 2003, Edward Arnold, London. third ed.
18. Greenberg H. An analysis of traffic flow. Operations Research 1959, 7(1):79-85.
19. Greenshields B.D. A study of traffic capacity. Highway Research Board Proceedings 1935, 14(1):448-477.
20. Helbing D., Tilch B. Generalized force model of traffic dynamics. Physical Review E 1998, 58(1):133-138.
21. Helly, W., 1961. Simulation of bottlenecks in single lane traffic flow. In: Herman, R.C. (Ed.), Proceedings of the Symposium on Theory of Traffic Flow, pp. 207-238.
22. Juang R., Wu Q., Zhu Z. Full velocity difference model for a car-following theory. Physical Review E 2001, 64(1):017101.1-017101.4.
23. Kerner B.S., Konhäuser P. Structure and parameters of clusters in traffic flow. Physical Review E 1994, 50(1):54-83.
24. Kesting A., Treiber M. Calibrating car-following models using trajectory data: methodological study. Transportation Research Record 2008, 2088:148-156.
25. Kesting A., Treiber M. How reaction time, update time and adaptation factor influence the stability of traffic flow. Computer-Aided Civil and Infrastructure Engineering 2008, 23(2):125-137.
26. Kometani E., Sasaki T. On the stability of traffic flow. Report no. 1. Journal of Operations Research Japan 1958, 2(1):11-26.
27. Kometani, E., Sasaki, T., 1961. Dynamic behavior of traffic with a nonlinear spacing. In: Herman R.C. (Ed.), Proceedings of the Symposium on Theory of Traffic Flow, pp. 105-119.
28. Lenz H., Wagner C.K., Sollacher R. Multi-anticipative car-following model. The European Physical Journal B 1999, 7(2):331-335.
29. Leutzbach W. An Introduction to the Theory of Traffic Flow 1988, Springer-Verlag, Berlin.
30. Leutzbach W., Wiedemann R. Development and applications of traffic simulation models at the Karlsruhe Institut fur Verkehrwesen. Traffic Engineering and Control 1986, 27(5):270-278.
31. Newell G.F. Nonlinear effects in the dynamics of car following. Operations Research 1961, 9(2):209-229.
32. Newell G.F. A simplified car-following theory: a lower order model. Transportation Research Part B 2002, 36(3):195-205.
33. Nishinari K., Treiber M., Helbing D. Interpreting the wide scattering of synchronized traffic data by time gap statistics. Physical Review E 2003, 68(2):067101.1-067101.4.
34. Ossen S., Hoogendoorn S.P. Validity of trajectory-based calibration approach of car-following models in the presence of measurement errors. Transportation Research Record 2008, 2088:117-125.
35. Ossen S., Hoogendoorn S.P., Gorte B.G. Inter-driver differences in car-following: a vehicle trajectory based study. Transportation Research Record 2007, 1965:121-129.
36. Pipes L.A. Car-following models and the fundamental diagram of road traffic. Transportation Research 1967, 1(1):21-29.
37. Punzo V., Simonelli F. Analysis and comparison of microscopic flow models with real traffic microscopic data. Transportation Research Record 2005, 1934:53-63.
38. Ranjitkar P., Nakatsuji T., Asano M. Performance evaluation of microscopic flow models with test track data. Transportation Research Record 2004, 1876:90-100.
39. Treiber M., Helbing D. Memory effects in microscopic traffic models and wide scattering in flow-density data. Physical Review E 2003, 68(4):046119.1-046119.8.
40. Treiber M., Hennecke A., Helbing D. Congested traffic states in empirical observations and microscopic simulations. Physical Review E 2000, 62(2):1805-1824.
41. Treiber M., Kesting A., Helbing D. Delays, inaccuracies and anticipation in microscopic traffic models. Physica A 2006, 360(1):71-88.
42. Treiber M., Kesting A., Helbing D. Understanding widely scattered traffic flows, the capacity drop, and platoons as effects of variance-driven time gaps. Physical Review E 2006, 74(1):016123.1-016123.10.
43. Treiber M., Kesting A., Helbing D. Influence of reaction times and anticipation on the stability of vehicular traffic flow. Transportation Research Record 2007, 1999:23-29.
44. Underwood R.T. Speed volume and density relationships: quality and theory of traffic flow. Bureau of Highway Traffic, Yale University 1961, 141-188.
45. Wang J., Dixon K.K., Li H., Ogle J. Normal Deceleration behavior of passenger vehicles at stop sign-controlled intersections evaluated with in-vehicle global positioning system data. Transportation Research Record 2006, 1937:120-127.
46. Wiedemann, R., 1974. Simulation des Straenverkehrsflusses. Schriftenreihe des instuts für verkehrswesen, Universität Karlsruhe, Heft 8.