Oscillatory traffic flow patterns induced by queue spillback in a simple road network

Transportation Science

Volumn 42, Issue 2, 2008, Pages 236-248

  Nie, Yu ^a   Zhang, H Michael ^b  

^a Northwestern University   (United States)

^b University of California   (United States)

Author keywords

Kinematic wave theory; Stop and go traffic; Vehicular traffic oscillations

Indexed keywords

FLOW PATTERNS; MOTOR TRANSPORTATION; QUEUEING THEORY; ROADS AND STREETS; TRANSPORTATION;

KINEMATIC-WAVE THEORY; ORIGIN-DESTINATION PAIRS; OSCILLATORY SOLUTIONS; QUEUE SPILLBACK; ROUTE NETWORKS; SIMPLE NETWORKS; STOP-AND-GO TRAFFIC; TRAFFIC FLOW PATTERNS;

TRAFFIC CONTROL;

EID: 62849100481     PISSN: 00411655     EISSN: 15265447     Source Type: Journal    
DOI: 10.1287/trsc.1070.0229     Document Type: Article

References (19)

1. Chandler, R., R. Herman, R. Montroll. 1958. Traffic dynamics: Studies in car following. Oper. Res. 6 (2) 165-184.
2. Daganzo, C. F. 1995. The cell transmission model, part II: Network traffic. Transportation Res. B 29 (2) 79-93.
3. Daganzo, C. F. 1998. Queue spillovers in transportation networks with a route choice. Transportation Sci. 32 (1) 3-11.
4. Daganzo, C. F. 1999. The lagged cell-transmission model. A. Ceder, ed. Transportation and Traffic Theory: Proc. 14th Internat. Sympos. Transportation Traffic Theory, Pergamon, New York, 81-106.
5. Daganzo, C. F. 2005. A variational formulation of kinematic waves: Basic theory and complex boundary conditions. Transportation Res. B 39 (2) 187-196.
6. Gazis, D. C., R. Herman, G. H. Weiss. 1962. Density oscillations between lanes of a multilane highway. Oper. Res. 10 (5) 658-667.
7. Herman, R., E. Montroll, R. Potts, R. Rothery 1959. Traffic dynamics: Analysis of stability in car following. Oper. Res. 7 (1) 86-106.
8. Jin, W.-L. 2003. Kinematic wave traffic flow models for road networks: Theories, simulations, and applications. Ph. D. thesis, University of California, Davis, Davis.
9. Jin, W.-L., H. M. Zhang. 2001. On the distribution schemes in the discrete kinematic wave model of merges. Transportation Res. B 37 (6) 521-540.
10. Jin, W.-L., H. M. Zhang. 2003. The formation and structure of vehicle clusters in the Payne-Whitham traffic flow model. Transportation Res. B 37 207-223.
11. Jin, W.-L., Y. Zhang. 2005. PARAMICS simulation of periodic oscillations caused by network geometry. Proc. 84th Annual Meeting Transportation Res. Board, Washington, D. C.
12. Kerner, B., P. Konhäuser. 1994. Structure and parameters of clusters in traffic flow. Physical Rev. E 50 (1) 54-83.
13. Lebacque, J. P. 1996. The Godunov scheme and what it means for first order traffic flow models. J. B. Lesort, ed. Proc. 13th Internat. Sympos. Transportation Traffic Theory, Pergamon, Oxford, UK, 647-677.
14. Lebacque, J. P., M. M. Khoshyaran. 2005. First order macroscopic traffic flow models: Intersections modeling, network modeling. H. S. Mahmassani, ed. Proc. 16th Internat. Sympos. Transportation Traffic Theory, Lyon, France, Pergamon, Oxford, UK, 365-386.
15. Mauch, M., M. Cassidy. 2002. Freeway traffic oscillations: Observations and predictions. M. Taylor, ed. Proc. 15th Internat. Sympos. Transportation Traffic Theory, Elsevier, Amsterdam, 653-674.
16. Munjal, P. K., L. A. Pipes. 1971. Propagation of on-ramp density waves on uniform unidirectional multilane freeways. Transportation Res. 5 (4) 241-255.
17. Newell, G. F. 1965. Instability in dense highway traffic, a review. P. Almond, ed. Proc. 2nd Internat. Sympos. Theory Road Traffic Flow, London, OECD, Paris, 73-85.
18. Nie, Y., J. T. Ma, H. M. Zhang. 2007. A polymorphic dynamic network loading model. Comput.-Aided Civil Infrastructure Engrg. 23 (2) 86-103.
19. Zhang, H. M., T. Wu. 1999. Numerical simulation and analysis of traffic flow. Transportation Res. Record 1678 251-260.