Phase diagram analysis based on a temporal-spatial queueing model

IEEE Transactions on Intelligent Transportation Systems

Volumn 13, Issue 4, 2012, Pages 1705-1716

  Chen, Xiqun ^a   Li, Li ^a   Li, Zhiheng ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Phase diagram; ramping; temporal spatial queueing model; traffic flow

Indexed keywords

CAR-FOLLOWING MODELS; DIAGRAM ANALYSIS; MAIN ROADS; MICROSCOPIC LEVELS; PRIME FACTORS; QUEUEING MODEL; RAMPING; TIME INTERVAL; TIME-OUTS; TRAFFIC FLOW; TRANSITION CONDITIONS;

FLOW RATE; PHASE DIAGRAMS; QUEUEING NETWORKS; QUEUEING THEORY; ROADS AND STREETS; TRAFFIC CONGESTION;

COMPUTER SIMULATION;

EID: 84870491506     PISSN: 15249050     EISSN: None     Source Type: Journal    
DOI: 10.1109/TITS.2012.2203305     Document Type: Article

References (39)

1. P. K. Munjal and L. A. Pipes, "Propagation of on-ramp density waves on uniform unidirectional multilane freeways, " Transp. Sci., vol. 5, no. 4, pp. 390-402, Nov. 1971.
2. F.-Y. Wang, "Parallel control and management for intelligent transportation systems: Concepts, architectures, and applications, " IEEE Trans. Intell. Transp. Syst., vol. 11, no. 3, pp. 630-638, Sep. 2010.
3. H. M. Zhang and W. Shen, "Numerical investigation of stop-and-go traffic patterns upstream of freeway lane drop, " Transp. Res. Rec., vol. 2124, pp. 3-17, 2009.
4. A. Duret, J. Bouffier, and C. Buisson, "Onset of congestion from lowspeed merging maneuvers within free-flow traffic stream, " Transp. Res. Rec., vol. 2188, pp. 96-107, 2010.
5. S. Ahn, J. A. Laval, and M. J. Cassidy, "Effects of merging and diverging on freeway traffic oscillations, " Transp. Res. Rec., vol. 2188, pp. 1-8, 2010.
6. C. F. Daganzo, M. J. Cassidy, and R. L. Bertini, "Possible explanations of phase transitions in highway traffic, " Transp. Res. Part A, Policy Pract., vol. 33, no. 5, pp. 365-379, Jun. 1999. (Pubitemid 29328677)
7. J. R. Windover and M. J. Cassidy, "Some observed details of freeway traffic evolution, " Transp. Res. Part A, Policy Pract., vol. 35, no. 10, pp. 881-894, Dec. 2001. (Pubitemid 32944278)
8. M. J. Cassidy, S. B. Anani, and J. M. Haigwood, "Study of freeway traffic near an of f-ramp, " Transp. Res. Part A, Policy Pract., vol. 36, no. 6, pp. 563-572, Jul. 2002. (Pubitemid 34444173)
9. J. A. Laval and L. Leclercq, "A mechanism to describe the formation and propagation of stop-and-go waves in congested freeway traffic, " Phil. Trans. R. Soc. A, vol. 368, no. 1928, pp. 4519-4541, Oct. 2010.
10. L. Leclercq, J. A. Laval, and N. Chiabaut, "Capacity drops at merges: An endogenous model, " in Proc. Soc. Behav. Sci., 2011, vol. 7, pp. 12-26.
11. B. S. Kerner, The Physics of Traffic: Empirical Freeway Pattern Features, Engineering Applications, and Theory. New York: Springer-Verlag, 2004.
12. B. S. Kerner, Introduction to Modern Traffic Flow Theory and Control: The Long Road to Three-Phase Traffic Theory. Berlin, Germany: Springer-Verlag, 2009.
13. M. Treiber, A. Hennecke, and D. Helbing, "Congested traffic states in empirical observations and microscopic simulations, " Phys. Rev. E, Statist. Nonlin. Soft Matter Phys., vol. 62, no. 2, pp. 1805-1824, Aug. 2000.
14. M. Schönhof and D. Helbing, "Empirical features of congested traffic states and their implications for traffic modeling, " Transp. Sci., vol. 41, no. 2, pp. 135-166, May 2007.
15. D. Helbing, M. Treiber, A. Kesting, and M. Schönhof, "Theoretical vs. empirical classification and prediction of congested traffic states, " Eur. Phys. J. B, vol. 69, pp. 583-598, 2009.
16. M. Treiber, A. Kesting, and D. Helbing, "Three-phase traffic theory and two-phase models with a fundamental diagram in the light of empirical stylized facts, " Transp. Res. Part B, Methodological, vol. 44, no. 8/9, pp. 983-1000, Sep.-Nov. 2010.
17. X. Q. Chen, L. Li, and Y. Zhang, "A Markov model for headway/gap distribution of road traffic, " IEEE Trans. Intell. Transp. Syst., vol. 11, no. 4, pp. 773-785, Dec. 2010.
18. L. Lu, Y. Su, T. Yun, D. Yao, and L. Li, "A comparison of phase transitions produced by PARAMICS, TransModeler and VISSIM, " IEEE Intell. Transp. Syst. Mag., vol. 2, no. 3, pp. 19-24, Dec. 2010.
19. G. F. Newell, "A simplified car-following theory: A lower order model, " Transp. Res. Part B, Methodological, vol. 36, no. 3, pp. 195-205, Mar. 2002. (Pubitemid 34045951)
20. S. Ahn, M. J. Cassidy, and J. Laval, "Verification of a simplified carfollowing theory, " Transp. Res. Part B, Methodological, vol. 38, no. 5, pp. 431-440, Jun. 2004.
21. T. Kim and H. M. Zhang, "Gap time and stochastic wave propagation, " in Proc. 7th Int. IEEE Conf. Intell. Transp. Syst., 2004, pp. 88-93. (Pubitemid 40196654)
22. T. Kim and H. M. Zhang, "A stochastic wave propagation model, " Transp. Res. Part B, Methodological, vol. 42, no. 7/8, pp. 619-634, Aug. 2008.
23. B. Son, T. Kim, H. J. Kim, and S. Lee, "Probabilistic model of traffic breakdown with random propagation of disturbance for ITS application, " Knowl.-Based Intell. Inf. Eng. Syst., vol. 3215, Lecture Notes in Computer Science, pp. 45-51, 2004. (Pubitemid 39746886)
24. H. Yeo, "Asymmetric microscopic driving behavior theory, " Ph. D. dissertation, Univ. California, Berkeley, CA, 2008.
25. H. Yeo and A. Skabardonis, "Understanding stop-and-go traffic in view of asymmetric traffic theory, " in Proc. 18th Int. Symp. Traffic and Transp. Theory, W. Lam, S. C. Wong, and H. K. Lo, Eds., 2009, pp. 99-116.
26. R. Mahnke and N. Pieret, "Stochastic master-equation approach to aggregation in freeway traffic, " Phys. Rev. E, Statist. Nonlinear Soft Matter Phys., vol. 56, no. 3, pp. 2666-2671, Sep. 1997. (Pubitemid 127614407)
27. R. Mahnke and J. Kaupus, "Probabilistic description of traffic flow, " Netw. Spatial Econ., vol. 1, no. 1/2, pp. 103-136, Mar. 2001.
28. R. Mahnke, J. Kaupus, and I. Lubashevsky, "Probabilistic description of traffic flow, " Phys. Rep., vol. 408, no. 1/2, pp. 1-130, Jan. 2005. (Pubitemid 40251030)
29. R. Mahnke and R. Kühne, "Probabilistic description of traffic breakdown, " in Proc. Traffic Granular Flow, 2007, pp. 527-536.
30. M. Treiber and A. Kesting, "Evidence of convective instability in congested traffic flow: A systematic empirical and theoretical investigation, " Transp. Res. Part B, Methodological, vol. 45, no. 9, pp. 1362-1377, 2011.
31. B. D. Greenshields, "A study of traffic capacity, " in Proc. Highway Board, 1934, vol. 14, pp. 448-477.
32. N. Chiabaut, C. Buisson, and L. Leclercq, "Fundamental diagram estimation through passing rate measurements in congestion, " IEEE Trans. Intell. Transp. Syst., vol. 10, no. 2, pp. 355-359, Jun. 2009.
33. N. Chiabaut, L. Leclercq, and C. Buisson, "From heterogeneous drivers to macroscopic patterns in congestion, " Transp. Res. Part B, Methodological, vol. 44, no. 2, pp. 299-308, Feb. 2010.
34. P. Hidas, "Modelling vehicle interactions in microscopic simulation of merging and weaving, " Transp. Res. Part C, Emerging Technol., vol. 13, no. 1, pp. 37-62, Feb. 2005. (Pubitemid 40190805)
35. V. Milanés, J. Godoy, J. Villagrá, and J. Pérez, "Automated on-ramp merging system for congested traffic situations, " IEEE Trans. Intell. Transp. Syst., vol. 12, no. 2, pp. 500-508, Jun. 2011.
36. P. Wagner and K. Nagel, "Comparing traffic flow models with different number of 'phases, "' Eur. Phys. J. B, vol. 63, no. 3, pp. 315-320, Jun. 2008.
37. M. J. Lighthill and G. B. Whitham, "On kinematic waves: I Flow movement in long rivers. II A theory of traffic flow on long crowded roads, " Proc. R. Soc. Lond. A, Math. Phys. Sci., vol. 229, no. 1178, pp. 281-345, May 1955.
38. P. I. Richards, "Shockwaves on the highway, " Oper. Res., vol. 4, no. 1, pp. 42-51, Feb. 1956.
39. C. F. Daganzo, "A variational formulation of kinematic waves: Solution methods, " Transp. Res. Part B, Methodological, vol. 39, no. 10, pp. 934-950, Dec. 2005. (Pubitemid 40829314)