A macro model for traffic flow on road networks with varying road conditions

Journal of Advanced Transportation

Volumn 48, Issue 4, 2014, Pages 304-317

  Tang, Tie Qiao ^a   Caccetta, Lou ^b   Wu, Yong Hong ^b   Huang, Hai Jun ^a   Yang, Xiao Bao ^c  

^a BEIHANG UNIVERSITY   (China)

^b CURTIN UNIVERSITY   (Australia)

^c BEIJING JIAOTONG UNIVERSITY   (China)

Author keywords

macro model; road condition; traffic flow

Indexed keywords

HIGHWAY ENGINEERING; SHOCK WAVES; TELECOMMUNICATION TRAFFIC; TRAFFIC CONTROL;

MACRO MODEL; NUMERICAL RESULTS; ROAD CONDITION; TRAFFIC ENGINEER; TRAFFIC ENGINEERING; TRAFFIC FLOW; TRAFFIC FLOW MODELING; UNIFORM TRAFFIC;

ROADS AND STREETS;

EID: 84902472521     PISSN: 01976729     EISSN: 20423195     Source Type: Journal    
DOI: 10.1002/atr.215     Document Type: Article

References (37)

1. Chowdhury D, Santen L, Schreckenberg A,. Statistics physics of vehicular traffic and some related systems. Physics Reports 2000; 329: 199-329.
2. Helbing D,. Traffic and related self-driven many-particle systems. Reviews of Modern Physics 2001; 73: 1067-1141. (Pubitemid 33395907)
3. Bellomo N, Delitala M, Coscia V,. On the mathematical theory of vehicular traffic flow I-fluid dynamic and kinematic modeling. Mathematical Models & Methods in Applied Science 2002; 12: 1801-1843. (Pubitemid 36086693)
4. Klar A, Wegener R,. Traffic flow: models and numerics, in Modeling and Computational Methods for Kinematic Equations. Birkhäuser: Boston, 2004; 219-258.
5. Bandara JMSJ, Wong SC,. Special issue: some recent advances in transportation modeling. Journal of Advanced Transportation 2005; 39: 241-245. (Pubitemid 41607229)
6. Lighthill MJ, Whitham GB,. On kinematic waves: II. A theory of traffic flow on long crowed roads. Proceeding Royal Society London 1955; 229: 317-345.
7. Richards PI,. Shock waves on the highway. Operational Research 1956; 4: 42-51.
8. Wong GCK, Wong SC,. A multi-class traffic flow model-an extension of LWR model with heterogeneous drivers. Transportation Research Part A 2002; 36: 827-841.
9. Payne HJ,. Models of freeway traffic and control. In Mathematical Models of Public System, Bekey GA, (ed), Simulation Councils, inc.: La Jolla, California, 1971; 1: 51-61.
10. Michalopoulos PG, Yi P, Lyrintzis AS,. Development of an improved high order continuum traffic flow model. Transportation Research Part B 1993; 27: 125-132.
11. Zhang HM,. A theory of nonequilibrium traffic flow. Transportation research Part B 1998; 32: 485-498. (Pubitemid 128407015)
12. Zhang HM,. A non-equilibrium traffic model devoid of gas-like behavior. Transportation research Part B 2002; 36: 275-290. (Pubitemid 34043312)
13. Jiang R, Wu QS, Zhu ZJ,. A new continuum model for traffic flow and numerical tests. Transportation Research Part B 2002; 36: 405-419. (Pubitemid 34306163)
14. Jiang R, Wu QS, Zhu ZJ,. Full velocity difference model for car-following theory. Physical Review E 2001; 64: 017101.
15. Chang G, Zhu Z,. A macroscopic traffic model for highway work zones: formulations and numerical results. Journal of Advanced Transportation 2006; 40: 265-287. (Pubitemid 44545625)
16. Gupta AK, Katiyar VK,. A new multi-class continuum model for traffic flow. Transportmetrica 2007; 3: 73-85.
17. Gundaliya PJ, Mathew TV, Dhingra SL,. Heterogeneous traffic flow modelling for an arterial using grid based approach. Journal of Advanced Transportation 2008; 42: 467-491.
18. Tang TQ, Wong SC, Huang HJ, Zhang P,. Macroscopic modeling of lane-changing for two-lane traffic flow. Journal of Advanced Transportation 2009; 43: 245-273.
19. Bie J, Lo HK, Wong SC,. Capacity evaluation of multi-lane traffic roundabout. Journal of Advanced Transportation 2010; 44: 245-255.
20. Bando M, Hasebe K, Nakayama A, Shibata A, Sugiyama Y,. Dynamical model of traffic congestion and numerical simulation. Physical Review E 1995; 51: 1035-1042.
21. Helbing D, Tilch B,. Generalized force model of traffic flow. Physical Review E 1998; 58: 133-138. (Pubitemid 128596031)
22. Nagatani T,. Stabilization and enhancement of traffic flow by next-nearest-neighbor interaction. Physical Review E 1999; 60: 6395-6401. (Pubitemid 129651461)
23. Ge HX, Dai SQ, Dong LY, Xue Y,. Stabilization effect of traffic flow in an extended car-following model based on intelligent transportation system application. Physical Review E 2004; 70: 066134.
24. Zhao XM, Gao ZY,. A new car-following model: full velocity and acceleration difference model. The European Physical Journal B 2005; 47: 145-150.
25. Wang T, Gao ZY, Zhao XM,. Multiple velocity difference model and its stability analysis. Acta Phys Sin. 2006; 55: 634-640. (Pubitemid 43322823)
26. Peng GH, Sun DH,. A dynamical model of car-following with the consideration of multiple information of preceding cars. Physics Letters A 2010; 374: 1694-1698.
27. Delitala M, Tosin A,. Mathematical modelling of vehicular traffic: a discrete kinetic theory approach. Mathematical Models & Methods in Applied Science 2007; 17: 901-932.
28. Bellouquid A, Delitala M,. Asymptotic limits of a discrete kinematic theory model of vehicular traffic. Applied Mathematics Letters 2011; 24: 672-678.
29. Bellomo N, Bellouquid A,. On the modelling of vehicular traffic and crowds by the kinetic theory of active particles. In Mathematical Modelling of Collective Behaviour in Socio-economics and Life Sciences, Naldi G, Pareschi L, Toscani G, (Eds). Birkhäuser: Boston, 2010; 273-296.
30. Li CY, Tang TQ, Huang HJ, Shang HY,. A new car-following model with consideration of driving resistance. Chinese Physics Letters 2011; 28: 038902.
31. Sarvi M, Kuwahara M, Ceder A,. Observing freeway ramp merging phenomena in congested traffic. Journal of Advanced Transportation 2007; 41: 145-170. (Pubitemid 46991755)
32. Ngoduy D,. Multiclass first order modelling of traffic networks using discontinuous flow-density relationships. Transportmetrica 2010; 6: 121-141.
33. Ngoduy D,. Multiclass first-order traffic model using stochastic fundamental diagrams. Transportmetrica 2011; 7: 111-125.
34. Castillo JM,. Three new models for the flow-density relationship: derivation and testing for freeway and urban data. Transportmetrica 2011; in press.
35. Kerner BS, Konhäuster P,. Cluster effect in initially homogeneous traffic flow. Physical Review E 1993; 48: R2335-R2338.
36. Del Castillo JM, Benitez FG,. On functional form of the speed-density relationship-I: general theory, II: empirical investigation. Transportation Research Part B 1995; 29: 373-406.
37. Herrmann M, Kerner BS,. Local cluster effect in different traffic flow models. Physica A 1998; 255: 163-188. (Pubitemid 128407928)