Car-following model considering the lane-changing prevention effect and its stability analysis

Abstract The car-following behavior has attracted much attention in past decades. However, the majority of the existing studies ignored the fact that the following vehicle in car-following may prevent the lane-changing of the vehicle on the adjacent lanes, when a large gap exists between the following and leading vehicles. Therefore, this paper proposes a new car-following model considering the lane-changing prevention effect. The final velocity of the following vehicle is a combination of a safe velocity and a lane-changing prevention velocity. The stability condition of the model is derived and verified through numerical simulation, and impacts of several factors on stability are analyzed. The results display that the stability condition is consistent with the simulation results. The most significant factors impacting on the stability are the safe time-headway for lane-changing and the contribution proportion α of the safe velocity and lane-changing prevention velocity. The optimal values exist for the proportion α and lane-changing time headway that can make the stability of the traffic flow the highest. Graphical abstract

[1]  Kentaro Hirata,et al.  Decentralized delayed-feedback control of an optimal velocity traffic model , 2000 .

[2]  Takashi Nagatani,et al.  Spatio-temporal dynamics of jams in two-lane traffic flow with a blockage , 2003 .

[3]  Robert Herman,et al.  Traffic Dynamics: Analysis of Stability in Car Following , 1959 .

[4]  Takashi Nagatani,et al.  Traffic states and jamming transitions induced by a bus in two-lane traffic flow , 2005 .

[5]  L. A. Pipes.  An Operational Analysis of Traffic Dynamics , 1953 .

[6]  Bin Ran,et al.  Modeling and Analysis of the Lane-Changing Execution in Longitudinal Direction , 2016, IEEE Transactions on Intelligent Transportation Systems.

[7]  Siuming Lo,et al.  An extended car-following model accounting for the honk effect and numerical tests , 2017 .

[8]  P. G. Gipps,et al.  A MODEL FOR THE STRUCTURE OF LANE-CHANGING DECISIONS , 1986 .

[9]  Hai-Jun Huang,et al.  A Multilane Traffic Flow Model Accounting for Lane Width, Lane-Changing and the Number of Lanes , 2014 .

[10]  Behnaz Bigdeli,et al.  A New Car-Following Model Based on the Epsilon-Support Vector Regression Method using the Parameters Tuning and Data Scaling Techniques , 2017, International Journal of Civil Engineering.

[11]  E. Montroll,et al.  Traffic Dynamics: Studies in Car Following , 1958 .

[12]  Peter Hidas,et al.  MODELLING LANE CHANGING AND MERGING IN MICROSCOPIC TRAFFIC SIMULATION , 2002 .

[13]  Akihiro Nakayama,et al.  Effect of looking at the car that follows in an optimal velocity model of traffic flow. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  B. Ran,et al.  Stability analysis of the mixed traffic flow of cars and trucks using heterogeneous optimal velocity car-following model , 2014 .

[15]  Ziyou Gao,et al.  Continuum modeling for two-lane traffic flow , 2006 .

[16]  Tie-Qiao Tang,et al.  Impact of the honk effect on the stability of traffic flow , 2011 .

[17]  Rongjun Cheng,et al.  The feedback control research on straight and curved road with car-following model , 2017 .

[18]  Mehdi Keyvan-Ekbatani,et al.  Integrated deep learning and stochastic car-following model for traffic dynamics on multi-lane freeways , 2019, Transportation Research Part C: Emerging Technologies.

[19]  Nakayama,et al.  Dynamical model of traffic congestion and numerical simulation. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[20]  P. G. Gipps,et al.  A behavioural car-following model for computer simulation , 1981 .

[21]  S. Wong,et al.  Lane changing analysis for two-lane traffic flow , 2007 .

[22]  R. B. Potts,et al.  Car-Following Theory of Steady-State Traffic Flow , 1959 .

[23]  Xiangmo Zhao,et al.  An improved car-following model with multiple preceding cars’ velocity fluctuation feedback , 2017 .

[24]  Akihiro Nakayama,et al.  Dynamical model of a cooperative driving system for freeway traffic. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Zhongke Shi,et al.  Consensus and optimal speed advisory model for mixed traffic at an isolated signalized intersection , 2019 .

[26]  马寿峰,et al.  Influence of lane change on stability analysis for two-lane traffic flow , 2011 .

[27]  Xiuhai Li,et al.  Effects of vehicle gap changes on fuel economy and emission performance of the traffic flow in the ACC strategy , 2018, PloS one.

[28]  D. Gazis,et al.  Nonlinear Follow-the-Leader Models of Traffic Flow , 1961 .