Driver Predictions and Energy Consumption in Car-following Model with BFL Effect
DOI:
https://doi.org/10.26713/cma.v14i2.2169Keywords:
Energy consumption, Car-following model, Backward looking effect, Individual expectationAbstract
In real life, there is a significant role of neighboring vehicles as well as driver’s behavior in the nonlinear dynamics of traffic flow. Based on the car-following model, we examined the impact of individual expectations on a single-lane highway with a Backward-Forward Looking (BFL) effect on traffic flow. The model’s stability criterion is determined through linear and nonlinear analysis, and it is observed that the prediction parameter not only reduces the unstable region but is also helpful in reducing energy consumption. Moreover, it is also remarked that the driver’s prediction effect will become more effective in the case BFL model. Furthermore, the numerical simulation demonstrates that the new model effectively enhances stable regions and it should be considered during the modeling of traffic flow.
Downloads
References
M. Bando, K. Hasebe, A. Nakayama, A. Shibata and Y. Sugiyama, Dynamical model of traffic congestion and numerical simulation, Physical Review E 51(2) (1995), 1035, DOI: 10.1103/PhysRevE.51.1035.
M. Bando, K. Hasebe, A. Nakayama, A. Shibata and Y. Sugiyama, Structure stability of congestion in traffic dynamics, Japan Journal of Industrial and Applied Mathematics 11(2) (1994), 203 – 223, DOI: 10.1007/BF03167222.
P. Berg, A. Mason and A. Woods, Continuum approach to car-following models, Physical Review E 61(2) (2000), 1056 – 1066, DOI: DOI: 10.1103/PhysRevE.61.1056.
R. E. Chandler, R. Herman and E. W. Montroll, Traffic dynamics: Studies in car following, Operations Research 6(2) (1958), 165 – 184, URL: https://www.jstor.org/stable/167610.
A. Ferrara, S. Sacone and S. Siri, Microscopic and mesoscopic traffic models, in: Freeway Traffic Modelling and Control, Advances in Industrial Control series, Springer, Cham., 113 – 143 (2018), DOI: 10.1007/978-3-319-75961-6_5.
D. C. Gazis, R. Herman and R. B. Potts, Car-following theory of steady-state traffic flow, Operations Research 7(4) (1959), 499 – 505, URL: https://www.jstor.org/stable/166948.
H.-X. Ge and R.-J. Cheng, The “backward looking” effect in the lattice hydrodynamic model, Physica A: Statistical Mechanics and its Applications 387(28) (2008), 6952 – 6958, DOI: 10.1016/j.physa.2008.05.060.
H. X. Ge, R. J. Cheng and Z. P. Li, Two velocity difference model for a car following theory, Physica A: Statistical Mechanics and its Applications 387(21) (2008), 5239 – 5245, DOI: 10.1016/j.physa.2008.02.081.
H. X. Ge, R. J. Cheng and S. Q. Dai, KdV and kink–antikink solitons in car-following models, Physica A: Statistical Mechanics and its Applications 357(3-4) (2005), 466 – 476, DOI: 10.1016/j.physa.2005.03.059.
A. K. Gupta and P. Redhu, Analyses of the driver’s anticipation effect in a new lattice hydrodynamic traffic flow model with passing, Nonlinear Dynamics 76(2) (2014), 1001 – 1011, DOI: 10.1007/s11071-013-1183-2.
D. Helbing and B. Tilch, Generalized force model of traffic dynamics, Physical Review E 58(1) (1998), 133, DOI: 10.1103/PhysRevE.58.133.
R. Herman, E. W. Montroll, R. B. Potts and R. W. Rothery, Traffic dynamics: Analysis of stability in car following, Operations Research 7(1) (1959), 86 – 106, URL: https://www.jstor.org/stable/167596.
S. P. Hoogendoorn and P. H. L. Bovy, Generic gas-kinetic traffic systems modeling with applications to vehicular traffic flow, Transportation Research Part B: Methodological 35(4) (2001), 317 – 336, DOI: 10.1016/S0191-2615(99)00053-3.
M. A. Hossain, K. M. A. Kabir and J. Tanimoto, Improved car-following model considering modified backward optimal velocity and velocity difference with backward-looking effect, Journal of Applied Mathematics and Physics 9(2) (2021), 242 – 259, DOI: 10.4236/jamp.2021.92018.
A. Jafaripournimchahi, L. Sun and W. Hu, Driver's anticipation and memory driving car-following model, Journal of Advanced Transportation 2020 (2020), Article ID 4343658, DOI: 10.1155/2020/4343658.
R. Jiang, Q. Wu and Z. Zhu, Full velocity difference model for a car-following theory, Physical Review E 64(1) (2001), 017101, DOI: 10.1103/PhysRevE.64.017101.
Z. Jin, Z. Yang and H. Ge, Energy consumption investigation for a new car-following model considering driver’s memory and average speed of the vehicles, Physica A: Statistical Mechanics and its Applications 506 (2018), 1038 – 1049, DOI: 10.1016/j.physa.2018.05.034.
Y.-C. He, G. Zhang and D. Chen, Effect of density integration on the stability of a new lattice hydrodynamic model, International Journal of Modern Physics B 33(9) (2019), 1950071, DOI: 10.1142/S0217979219500711.
Y. Li, L. Zhang, H. Zheng, X. He, S. Peeta, T. Zheng and Y. Li, Evaluating the energy consumption of electric vehicles based on car-following model under non-lane discipline, Nonlinear Dynamics 82(1) (2015), 629 – 641, DOI: 10.1007/s11071-015-2183-1.
J. Li, Q.-Y. Chen, H. Wang and D. Ni, Analysis of LWR model with fundamental diagram subject to uncertainties, Transportmetrica 8(6) (2012), 387 – 405, DOI: 10.1080/18128602.2010.521532.
G. Ma, M. Ma, S. Liang, Y. Wang and H. Guo, Nonlinear analysis of the car-following model considering headway changes with memory and backward looking effect, Physica A: Statistical Mechanics and its Applications 562 (2021), 125303, DOI: 10.1016/j.physa.2020.125303.
G. Ma, M. Ma, S. Liang, Y. Wang and Y. Zhang, An improved car-following model accounting for the time-delayed velocity difference and backward looking effect, Communications in Nonlinear Science and Numerical Simulation 85 (2020), 105221, DOI: 10.1016/j.cnsns.2020.105221.
T. Nagatani, The physics of traffic jams, Reports on Progress in Physics 65(9) (2002), 1331, DOI: 10.1088/0034-4885/65/9/203.
A. Nakayama, Y. Sugiyama and K. Hasebe, Effect of looking at the car that follows in an optimal velocity model of traffic flow, Physical Review E 65(1) (2001), 016112, DOI: 10.1103/PhysRevE.65.016112.
D. Ngoduy, Application of gas-kinetic theory to modelling mixed traffic of manual and ACC vehicle, Transportmetrica 8(1) (2012), 43 – 60, DOI: 10.1080/18128600903578843.
G. H. Peng, A study of wide moving jams in a new lattice model of traffic flow with the consideration of the driver anticipation effect and numerical simulation, Physica A: Statistical Mechanics and its Applications 391(23) (2012), 5971 – 5977, DOI: 10.1016/j.physa.2012.07.039.
G. H. Peng and R.-J. Cheng, A new car-following model with the consideration of anticipation optimal velocity, Physica A: Statistical Mechanics and its Applications 392(17) (2013), 3563 – 3569, DOI: 10.1016/j.physa.2013.04.011.
G. H. Peng, W. Song, Y. J. Peng and S. H. Wang, A novel macro model of traffic flow with the consideration of anticipation optimal velocity, Physica A: Statistical Mechanics and its Applications 398 (2014), 76 – 82, DOI: 10.1016/j.physa.2013.12.015.
P. Redhu and A. K. Gupta, Delayed-feedback control in a Lattice hydrodynamic model, Communications in Nonlinear Science and Numerical Simulation 27(1-3) (2015), 263 – 270, DOI: 10.1016/j.cnsns.2015.03.015.
C. Rongjun, G. Hongxia and W. Jufeng, The nonlinear analysis for a new continuum model considering anticipation and traffic jerk effect, Applied Mathematics and Computation 332 (2018), 493 – 505, DOI: 10.1016/j.amc.2018.03.077.
Y. Sun, H. Ge and R. Cheng, An extended car-following model under V2V communication environment and its delayed-feedback control, Physica A: Statistical Mechanics and its Applications 508 (2018), 349 – 358, DOI: 10.1016/j.physa.2018.05.102.
D.-H. Sun, X.-Y. Liao and G.-H. Peng, Effect of looking backward on traffic flow in an extended multiple car-following model, Physica A: Statistical Mechanics and its Applications 390(4) (2011), 631 – 635, DOI: 10.1016/j.physa.2010.10.016.
T. Q. Tang, C. Y. Li and H. J. Huang, A new car-following model with the consideration of the driver’s forecast effect, Physics Letters A 374(38) (2010), 3951 – 3956, DOI: 10.1016/j.physleta.2010.07.062.
T. Q. Tang, H. J. Huang, S. G. Zhao and G. Xu, An extended ov model with consideration of driver’s memory, International Journal of Modern Physics B 23(05) (2009), 743 – 752, DOI: 10.1142/S0217979209051966.
T.-Q. Tang, J. He, S.-C. Yang and H.-Y. Shang, A car-following model accounting for the driver’s attribution, Physica A: Statistical Mechanics and its Applications 413 (2014), 583 – 591, DOI: 10.1016/j.physa.2014.07.035.
A. K. Verma, A. K. Gupta and I. Dhiman, Phase diagrams of three-lane asymmetrically coupled exclusion process with Langmuir kinetics, Europhysics Letters 112(3) (2015), 30008, DOI: 10.1209/0295-5075/112/30008.
S. Wei and X. Yu, Study on stability and energy consumption in typical car-following models, Physica A: Statistical Mechanics and its Applications 381 (2007), 399 – 406, DOI: 10.1016/j.physa.2007.02.106.
K. Yi-Rong, S. Di-Hua and Y. Shu-Hong, A new car-following model considering driver’s individual anticipation behavior, Nonlinear Dynamics 82 (2015), 1293 – 1302, DOI: 10.1007/s11071-015-2236-5.
R. Zhang and E. Yao, Mesoscopic model framework for estimating electric vehicles’ energy consumption, Sustainable Cities and Society 47 (2019), 101478, DOI: 10.1016/j.scs.2019.101478.
G. Zhang, The self-stabilization effect of lattice’s historical flow in a new lattice hydrodynamic model, Nonlinear Dynamics 91(2) (2018), 809 – 817, DOI: 10.1007/s11071-017-3911-5.
X. Zhao and Z. Gao, A new car-following model: full velocity and acceleration difference model, The European Physical Journal B – Condensed Matter and Complex Systems 47(1) (2005), 145 – 150, DOI: 10.1140/epjb/e2005-00304-3.
L.-J. Zheng, C. Tian, D.-H. Sun and W.-N. Liu, A new car-following model with consideration of anticipation driving behavior, Nonlinear Dynamics 70(2) (2012), 1205 – 1211, DOI: 10.1007/s11071-012-0524-x.
W.-X. Zhu and H. M. Zhang, Analysis of mixed traffic flow with human-driving and autonomous cars based on car-following model, Physica A: Statistical Mechanics and its Applications 496 (2018), 274 – 285, DOI: 10.1016/j.physa.2017.12.103.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.