Gipps’ model, a well-known safe distance car-following model, has a very strict restriction on the
car-following behavior that the following vehicle has to maintain the exact safe distance to the leading vehicle
to avoid rear crash. However, this restriction is not consistent with the real traffic condition. Due to that, an
enhanced safe distance car-following model is proposed first, and then calibrated and evaluated using the field
data. Furthermore, the simulation is conducted to analyze the characteristics of the new model. The results of
evaluation and simulation illustrate that the proposed model has higher simulation accuracy than the original
Gipps’ model, and can reproduce the stable flow and shock wave phenomena that are very common in real traffic.
Moreover, the simulation results also prove that the enhanced model can better stabilize the traffic flow than
Gipps’ model.
YANG Da1,2,3* (杨 达), ZHU Li-ling1 (祝俪菱), YU Dan1 (于 丹),YANG Fei1,2 (杨 飞), PU Yun1 (蒲 云)
. An Enhanced Safe Distance Car-Following Model[J]. Journal of Shanghai Jiaotong University(Science), 2014
, 19(1)
: 115
-122
.
DOI: 10.1007/s12204-014-1479-5
[1] Brackstone M, Mcdonald M. Car-following: A historical review [J]. Transportation Research. Part F:Traffic Psychology and Behaviour, 1999, 2(4): 181-196.
[2] Gipps P G. A behavioural car-following model for computer simulation [J]. Transportation Research.Part B: Methodological, 1981, 15(2): 105-111.
[3] Wilson R E. An analysis of Gipps’s car-following model of highway traffic [J]. IMA Journal of Applied Mathematics, 2001, 66(5): 509-537.
[4] Ranjitkar P, Nakatsuji T, Asano M. Performance evaluation of microscopic traffic flow models with test track data [J]. Transportation Research Record:Journal of the Transportation Research Board, 2004,1876(1): 90-100.
[5] Ossen S, Hoogendoorn S P, Gorte B G H.Interdriver differences in car-following: A vehicle trajectory-based study [J]. Transportation Research Record: Journal of the Transportation Research Board,2006, 1965(1): 121-129.
[6] Gong H, Liu H, Wang B H. An asymmetric full velocity difference car-following model [J]. Physica A: Statistical Mechanics and its Applications, 2008,387(11): 2595-2602.
[7] Punzo V, Simonelli F. Analysis and comparison of microscopic traffic flow models with real traffic microscopic data [J]. Transportation Research Record:Journal of the Transportation Research Board, 2005,1934(1): 53-63.
[8] Brockfeld E, K¨uhne R D, Wagner P. Calibration and validation of microscopic models of traffic flow [J].Transportation Research Record: Journal of the Transportation Research Board, 2005, 1934(1): 179-187.
[9] Hamdar S H, Treiber M, Mahmassani H S. Genetic algorithm calibration of a stochastic car-following model using trajectory data: Exploration and model properties [C]//Proceedings of the 88th Annual Meeting of Transportation Research Board. Washington D C: Transportation Research Board of the National Academies, 2009.
[10] Wang Dian-hai, Tao Peng-fei, Jin Sheng, et al.Method of calibrating and validating car-following model [J]. Journal of Jilin University: Engineering and Technology Edition, 2011, 41(sup 1): 59-65 (in Chinese).
[11] Jin S, Wang D H, Huang Z Y, et al. Visual angle model for car-following theory [J]. Physica A: Statistical Mechanics and Its Applications, 2011, 390(11):1931-1940.
[12] Wilson R E, Ward J A. Car-following models: Fifty years of linear stability analysis — A mathematical perspective [J]. Transportation Planning and Technology,2011, 34(1): 3-18.
[13] Mason A D, Woods A W. Car-following model of multispecies systems of road traffic [J]. Physical Review E, 1997, 55(3): 2203-2214.