Review and New Insights of the Car-Following Model for Road Vehicle Traffic Flow

Conference paper

Abstract

This paper reviews the car-following model for road vehicle traffic flow, describes the advantages and disadvantages of these models including the stimulus-response model, the safety distance model namely behavior model or collision avoidance model, the psycho-physical model namely the action point model and the artificial intelligence-based model and so on; and based on the research of the effects of drivers’ behavior including drivers’ disturbance risk preference heterogeneity and drivers’ rear view behavior depending on complex real traffic situations on traffic flow instability, which have been investigated by the authors, discusses the reality conformity of some car-following model assumptions and proposes some new insights and views about the car-following model.

Keywords

Traffic congestion The car-following model Road vehicle traffic flow Model assumptions The reality conformity 

Notes

Acknowledgments

This work is supported by The National Natural Science Foundation of China (grant no. 70971003) and the Innovation Foundation of BUAA for PhD Graduates.

References

  1. 1.
    Reuschel A (1950) Vehicle movements in a platoon. Oesterreichisches Ingenieeur-Archir 4:193–215MATHGoogle Scholar
  2. 2.
    Pipes LA (1953) An operational analysis of traffic dynamics. J Appl Phys 24(3):274–281MathSciNetCrossRefADSGoogle Scholar
  3. 3.
    Chandler RE, Herman R, Montroll EW (1958) Traffic dynamics: Studies in car following. Oper Res 6(2):165–184MathSciNetCrossRefGoogle Scholar
  4. 4.
    Herman R, Montroll EW, Rothery RW (1959) Traffic dynamics: analysis of stability in car following. Oper Res 7(1):86–106MathSciNetCrossRefGoogle Scholar
  5. 5.
    Gazis DC, Herman R, Potts RB (1959) Car following theory of steady state traffic flow. Oper Res 7(4):499–505MathSciNetCrossRefGoogle Scholar
  6. 6.
    Newell GF (1961) Nonlinear effects in the dynamics of car following. Oper Res 9(2):209–229MATHMathSciNetCrossRefGoogle Scholar
  7. 7.
    Gazis DC, Herman R, Rothery PW (1961) Nonlinear follow-the-leader models of traffic flow. Oper Res 9(4):545–567MATHMathSciNetCrossRefGoogle Scholar
  8. 8.
    Bexelius S (1968) An extended model for car-following. Transp Res 2(1):545–567Google Scholar
  9. 9.
    Sultan B, Brackstone M, McDonald M (2004) Drivers’ use of deceleration and acceleration information in car-following process. Transp Res Rec 1883:31–39CrossRefGoogle Scholar
  10. 10.
    Kometani E, Sasaki T (1958) On the stability of traffic flow. J Oper Res Jpn 2(1):11–26MathSciNetGoogle Scholar
  11. 11.
    Gipps PG (1981) A behavioural car following model for computer simulation. Transp Res Part B 15(2):105–111CrossRefGoogle Scholar
  12. 12.
    Gunay B (2007) Car following theory with lateral discomfort. Transp Res Part B 41:7, 722–735Google Scholar
  13. 13.
    Michaels PM (1963) Perceptual factors in car following. In: Proceedings of international symposium on the theory of road traffic flow, pp 44–59Google Scholar
  14. 14.
    Evans L, Rothery R (1977) Perceptual thresholds in car following: a recent comparsion. Transp Sci 11(1):44–59Google Scholar
  15. 15.
    Leutzbach W, Wiedmann R (1986) Development and application of traffic simulation models at Karlsruhe Institut fur Verkehrwesen. Traffic Eng Control 27(5):270–278Google Scholar
  16. 16.
    Boer ER (1999) Car following from the driver’s perspective. Transp Res Part F, Traffic Phycol Behavior 2(4):201–206CrossRefGoogle Scholar
  17. 17.
    Bellman RE, Zadel LA (1970) Decision-making in a fuzzy environment. Manage Sci 17(4):141–164CrossRefGoogle Scholar
  18. 18.
    Kikuchi C, Chakroborty P (1992) Fuzzy neural network control of complex systems: a study longitudinal vehicle control. Proc World Congr Neural Networks 3:84–92Google Scholar
  19. 19.
    Ma X, Andréasson I (2007) Behavior measurement, analysis, and regime classification in car following. IEEE Trans Intell Transp Syst 8(1):144–156CrossRefGoogle Scholar
  20. 20.
    Treiber M, Hennecke A, Helbing D (2000) Congested traffic states in empirical observations and microscopic simulations. Phys Rev E 62:1805–1824CrossRefADSGoogle Scholar
  21. 21.
    Treiber M, Kesting A, Helbing D (2006) Delays, inaccuracies and anticipation in microscopic traffic models. Phys A 360:71–88CrossRefGoogle Scholar
  22. 22.
    Treiber M, Helbing D (2003) Memory effects in microscopic traffic models and wide scattering in flow density data. Phys Rev E 68(046119)Google Scholar
  23. 23.
    Kesting A, Treiber M (2008) Calibrating car-following models by using trajectory data. Transp Res Rec 2088:148–156CrossRefGoogle Scholar
  24. 24.
    Tomer E, Safonoy L, Havlin S (1999) Presence of many stable nonhomogeneous states in an inertial car-following model. Phys Rev Lett 84:382–385CrossRefADSGoogle Scholar
  25. 25.
    Bando M, Hasebe K, Nakyaama A, Shibata A, Sugiyama Y (1995) Dynamical model of traffic congestion and numerical simulation. Phys Rev E 51:1035–1042CrossRefADSGoogle Scholar
  26. 26.
    Nagatani T (1999) Stabilization and enhancement of traffic flow by the next-nearest-neighbor interaction. Phys Rev E 60:6395–6401CrossRefADSGoogle Scholar
  27. 27.
    Helbing D, Tilch B (1998) Generalized force model of traffic dynamics. Phys Rev E 58(1):133–138CrossRefADSGoogle Scholar
  28. 28.
    Jiang R, Wu QS, Zhu ZJ (2001) Full velocity difference model for car-following theory. Phys Rev E 64:017101CrossRefADSGoogle Scholar
  29. 29.
    Xue Y (2003) A car-following model with stochastically considering the relative velocity in a traffic flow. Acta Phys Sin 52(11):2750–2756Google Scholar
  30. 30.
    Xue Y (2002) Analysis of the stability and density waves for traffic flow. Chin Phys B 11:1128–1137CrossRefGoogle Scholar
  31. 31.
    Xue Y, Dong LY, Yuan YW, Dai SQ (2002) Numerical simulation on traffic flow with the consideration of the relative velocity. Acta Phys Sin 51:492–495Google Scholar
  32. 32.
    Tang TQ, Huang HJ, Gao ZY (2005) Stability of the car-following model on two lanes. Phys Rev E 72:066124CrossRefADSGoogle Scholar
  33. 33.
    Peter W (2012) Analyzing fluctuations in car-following. Transp Res Part B 46:1384–1392CrossRefGoogle Scholar
  34. 34.
    Deng W, Lei H, Zhou XS (2013) Traffic state estimation and uncertainty quantification based on heterogeneous data sources: a three detector approach. Transp Res Part B 57:132–157Google Scholar
  35. 35.
    Chiabaut N, Leclercq L, Buisson C (2010) From heterogeneous drivers to macroscopic patterns in congestion. Transp Res Part B 44:299–308CrossRefGoogle Scholar
  36. 36.
    Newell GF (2002) A simplified car-following theory: a lower order model. Transp Res Part B 36:195–205CrossRefGoogle Scholar
  37. 37.
    Zeng YZ, Zhang N, Liu LJ (2014) A new car following model considering drivers’ heterogeneity of the disturbance risk appetite. Acta Phys Sin 63(6):068901Google Scholar
  38. 38.
    Hayakawa H, Nakanishi K (1998) Universal behavior in granular flows and traffic flows. Prog Theor Phys Suppl 130(1):57–75MathSciNetCrossRefADSGoogle Scholar
  39. 39.
    Nakayama A, Sugiyama Y, Hasebe K (2001) Effect of looking at the car that follows in an optimal velocity model of traffic flow. Phys Rev E 65:016112CrossRefADSGoogle Scholar
  40. 40.
    Hasebe K, Nakayama A, Sugiyama Y (2003) Dynamical model of a cooperative driving system for free traffic. Phys Rev E 68:026102CrossRefADSGoogle Scholar
  41. 41.
    Ge HX, Zhu HB, Dai SQ (2006) Effect of looking backward on traffic flow in a cooperative driving car following model. Eur Phys J B 54(4):503–510CrossRefADSGoogle Scholar
  42. 42.
    Sun DH, Zhang JC, Zhao M, Tian C (2012) Effect of backward looking and velocity difference in an extended car following model. J Sichuan Univ (Nat Sci Ed) 49(1):115–120Google Scholar
  43. 43.
    Peng GH (2010) Stabilization analysis of multiple car-following model in traffic flow. Chin Phys B 19(5):056401CrossRefADSGoogle Scholar
  44. 44.
    Peng GH, Sun DH (2009) Multiple car-following model of traffic flow and numerical simulation. Chin Phys B 18(12):5420–5430CrossRefADSGoogle Scholar
  45. 45.
    Peng GH (2011) Stability analyzing of multiple look-ahead car-following models. Syst Eng Theor Pract 31(3):569–576Google Scholar
  46. 46.
  47. 47.
    Zhang HM (2003) Anisotropic property revisited-does it hold in multi-lane traffic? Transp Res Part B 37:561–577CrossRefGoogle Scholar
  48. 48.
    Zeng YZ, Zhang N, Liu LJ (2014) Effects of comprehensive information of the nearest following vehicle on traffic flow instability. Acta Phys Sin 63(21):218901Google Scholar

Copyright information

© Atlantis Press and the author(s) 2016

Authors and Affiliations

  1. 1.School of Economics and Management Beihang UniversityBeijingChina

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