From heterogeneous drivers to macroscopic patterns in congestion

Transportation Research Part B: Methodological

Volumn 44, Issue 2, 2010, Pages 299-308

  Chiabaut, Nicolas ^a   Leclercq, Ludovic ^a   Buisson, Christine ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

Congestion; Heterogeneous drivers; Macroscopic patterns; Waves

Indexed keywords

CHEMICAL OPERATIONS; STOCHASTIC SYSTEMS; TRAFFIC CONTROL; WAVES;

CAR FOLLOWING MODELS; CONGESTION; DRIVING BEHAVIOR; HETEROGENEOUS DRIVERS; MACROSCOPIC MODEL; MACROSCOPIC PATTERN; MICROSCOPIC SCALE; NUMBER OF VEHICLES;

STOCHASTIC MODELS;

ESTIMATION METHOD; HETEROGENEITY; NUMERICAL MODEL; STOCHASTICITY; TRAFFIC CONGESTION;

EID: 73149084182     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2009.07.009     Document Type: Article

References (33)

1. Ahn S., Cassidy M.J., and Laval J. Verification of a simplified car-following theory. Transportation Research Part B 38 5 (2004) 431-440
2. Aw A., Klar A., Rascle M., and Materne T. Derivation of continuum traffic flow models from microscopic follow-the-leader models. SIAM Journal on Applied Mathematics 63 1 (2002) 259-278
3. Billingsley P. Convergence of Probability Measures. second ed. (1999), Wiley-Interscience
4. Brockfeld E., Kuhne R., and Wagner P. Calibration and validation of microscopic models of traffic flow. Transportation Research Record: Journal of the Transportation Research Board 1934 (2005) 179-187
5. Cassidy M.J. Freeway on-ramp metering, delay savings and the diverge bottleneck. Transportation Research Record: Journal of the Transportation Research Board (2003) 1856
6. Cassidy M.J., and Windover J.R. Driver memory: motorist selection and retention of individualized headways in highway traffic. Transportation Research Part A 32 2 (1998) 129-137
7. Chandler R.E., Herman R., and Montroll E.W. Traffic dynamics: studies in car following. Operation Research 2 6 (1958) 165-184
8. Chiabaut N., Buisson C., and Leclercq L. Fundamental diagram estimation through passing rate measurements in congestion. IEEE Transactions on Intelligent Transportation Systems 10 2 (2009) 355-359
9. Coifman, B.A., Wang, Y., 2005. Average velocity of waves propagating through congested freeway traffic. In: Mahmassani, H.S. (Ed.), 16th International Symposium on Transportation and Traffic Theory. Elsevier, MD, USA, pp. 165-179.
10. Daganzo C.F. In traffic flow, cellular automata = kinematic waves. Transportation Research Part B 40 5 (2006) 396-403
11. Duret A., Chiabaut N., and Buisson C. Estimating individual speed-spacing relationship and assessing the Newell's car following model ability to reproduce trajectories. Transportation Research Record 2088 (2009) 188-197 DOI: 10.3141/2088-20
12. Gipps P.G. A behavioural car-following model for computer simulation. Transportation Research Part B 15 2 (1981) 105-111
13. Hoeffding W. Probability inequalities for sums of bounded random variables. Journal of the American Statistical Association 58 301 (1963) 13-30
14. Kesting A., and Treiber M. Calibrating car-following models using trajectory data: a methodological study. Transportation Research Record: Journal of the Transportation Research Board 2088 (2008) 148-156
15. Kometani E., and Sasaki T. Dynamic behavior of traffic with nonlinear spacing-speed relationship. In: Herman R. (Ed). Theory of Traffic Flow. General Motors Research Laboratory (1961), Elsevier, Warren, MI 105-119
16. Laval J.A. Linking synchronized flow and kinematic waves. In: Kuhne R., Poeschl T., Schadschneider A., Schreckenberg M., and Wolf D. (Eds). Traffic and Granular Flow'05 (2005), Springer
17. Laval J.A., and Daganzo C.F. Lane-changing in traffic streams. Transportation Research Part B 40 3 (2006) 251-264
18. Laval J.A., and Leclercq L. Microscopic modeling of the relaxation phenomenon using a macroscopic lane-changing model. Transportation Research Part B 42 6 (2008) 511-522
19. Leclercq L. Calibration of flow-density relationships on urban streets. Transportation Research Record: Journal of the Transportation Research Board 1934 (2005) 226-234
20. Leclercq L. Hybrid approaches to the solutions of the "Lighthill-Whitham-Richards" model. Transportation Research Part B 41 7 (2007) 701-709
21. Leclercq L., Laval J.A., and Chevallier E. The lagrangian coordinates and what it means for first order traffic flow models. In: Allsop R.E., Bell M.G., and Heydecker B.G. (Eds). Transportation and Traffic Theory 2007 (ISTTT17) (2007), Elsevier, London, UK 735-754
22. Lighthill M.J., and Whitham G.B. On kinematic waves ii. A theory of traffic flow on long crowded roads. Proceedings of the Royal Society A 229 (1955) 317-345
23. Mauch, M., Cassidy, M.J., 2002. Freeway traffic oscillations: observations and predictions. In: Taylor, M.A.P. (Ed.), 15th International Symposium on Transportation and Traffic Theory.
24. May A.D. Traffic Flow Fundamentals (1988), Prentice Hall, Englewood Cliffs
25. May A.D., and Keller H.E.M. Non integer car-following models. Highway Research Record 199 1 (1967) 19-32
26. Newell G.F. A simplified car-following theory: a lower order model. Transportation Research Part B 36 3 (2002) 195-205
27. NGSIM (2006). Next generation simulation.
28. Ossen S., and Hoogendoorn S.P. Validity of trajectory-based calibration approach of car-following models in the presence of measurement errors. Transportation Research Record: Journal of the Transportation Research Board 2088 (2008) 117-125
29. Ossen S., Hoogendoorn S.P., and Gorte B.G.H. Interdriver differences in car-following: a vehicle trajectory-based study. Transportation Research Record: Journal of the Transportation Research Board 1965 (2006) 121-129
30. Rakha H., and Crowther B. Comparison of greenshields, pipes, and Van Aerde car-following and traffic stream models. Transportation Research Record: Journal of the Transportation Research Board 1802 (2002) 248-262
31. Richards P.I. Shockwaves on the highway. Operations Research 4 (1956) 42-51
32. Windover J.R., and Cassidy M.J. Some observed details of freeway traffic evolution. Transportation Research Part A 35 10 (2001) 881-894
33. Zhang H.M. A theory of nonequilibrium traffic flow. Transportation Research Part B 32 7 (1998) 485-498