Journal of Guangxi Normal University(Natural Science Edition) ›› 2017, Vol. 35 ›› Issue (3): 14-21.doi: 10.16088/j.issn.1001-6600.2017.03.002

Previous Articles     Next Articles

Modeling and Stability Analysis of Traffic Flow Car-following Modelwith Continuous Memory Effect

CHEN Chunyan, XU Zhipeng, KUANG Hua*   

  1. College of Physical Science and Technology, Guangxi Normal University, Guilin Guangxi 541004, China
  • Online:2017-07-25 Published:2018-07-25

PDF (PC)

303

Abstract: In order to investigate the impacts of driver’s self-determination characteristic on traffic flow, an extended self-stabilizing control driving car-following model is proposed by considering the driver’s continuous memory for vehicle velocity changes in real traffic. It is expected that the stability of traffic flow can be improved. The stability condition a>2V′(b)(1-λγ) of this model is obtained by using the linear stability analysis. Compared with the Bando’s optimal velocity (OV) model, it can be found that the critical value ac of the sensitivity in the new model decreases and the stable region is apparently enlarged. The numerical simulation results show that the effect of driver’s continuous memory can obviously improve the stability of traffic flow, and effectively suppress the traffic jams.

Key words: traffic flow, car-following model, stability analysis, numerical simulation

CLC Number: 

  • U491.1
[1] ZHANG H M. Driver memory, traffic viscosity and a viscous vehicular traffic flow model[J]. Transportation Research Part B, 2003, 37(1): 27-41.
[2] ZHANG Peng, LIU Ruxun, WONG S C. High-resolution numerical approximation of traffic flow problems with variable lanes and free-flow velocities[J]. Physical Review E, 2005, 71(5): 056704.
[3] TANG Tieqiao, CHEN Liang, WU Yonghong, et al. A macro traffic flow model accounting for real-time traffic state[J]. Physica A, 2015, 437: 55-67.
[4] LIU Huaqing, CHENG Rongjun, ZHU Keqiang, et al. The study for continuum model considering traffic jerk effect[J]. Nonlinear Dynamics, 2016, 83(1/2): 57-64.
[5] NAGEL K, SCHRECKENBERG M. A cellular automaton model for freeway traffic[J]. J Phys I France, 1992, 2: 2221-2229.
[6] 邝华, 孔令江, 刘慕仁. 多速混合车辆单车道元胞自动机交通流模型的研究[J]. 物理学报, 2004,53(9): 2894-2898.
[7] LI Qilang, WONG S C, MIN Jie, et al. A cellular automata traffic flow model considering the heterogeneity of acceleration and delay probability[J]. Physica A, 2016, 456: 128-134.
[8] 张卫华, 颜冉, 冯忠祥, 等. 雨天高速公路车辆换道模型研究[J]. 物理学报, 2016, 65(6): 064501.
[9] BANDO M, HASEBE K, NAKAYAMA A, et al. Dynamical model of traffic congestion and numerical simulation[J]. Physical Review E, 1995, 51(2): 1035-1042.
[10] HELBING D, TILCH B. Generalized force model of traffic dynamics[J]. Physical Review E, 1998, 58(1): 133-138.
[11] JIANG Rui, WU Qingsong, ZHU Zuojin. Full velocity difference model for a car-following theory[J]. Physical Review E, 2001, 64 (1): 017101(4).
[12] 王涛, 高自友, 赵小梅. 多速度差模型及稳定性分析[J]. 物理学报, 2006, 55(2): 634-640.
[13] 孙棣华, 康义容, 李华民. 驾驶员预估效应下车流能耗演化机理研究[J]. 物理学报, 2015, 64(15): 154503.
[14] SUN Dihua, KANG Yirong, YANG Shuhong. A novel car following model considering average speed of preceding vehicles group[J]. Physica A, 2015, 436: 103-109.
[15] CHEN Jianzhong, LIU Ronghui, NGODUY Dong, et al. A new multi-anticipative car-following model with consideration of the desired following distance[J]. Nonlinear Dynamics, 2016, 85(4): 2705-2717.
[16] LI Zhipeng, XU Xun, XU Shangzhi, et al. A heterogeneous traffic flow model consisting of two types of vehicles with different sensitivities[J]. Communications in Nonlinear Science and Numerical Simulation, 2017, 42: 132-145.
[17] GE Hongxia, DAI Shiqiang, DONG Liyun. An extended car-following model based on intelligent transportation system application[J]. Physica A, 2006, 365(2): 543-548.
[18] TANG Tieqiao, SHI Weifang, SHANG Huayan, et al. A new car-following model with consideration of inter-vehicle communication[J]. Nonlinear Dynamics, 2014, 76(4): 2017-2023.
[19] TANG Tieqiao, SHI Weifang, SHANG Huayan, et al. An extended car-following model with consideration of the reliability of inter-vehicle communication[J]. Measurement, 2014, 58: 286-293.
[20] KUANG Hua, XU Zhipeng, LI Xingli, et al. An extended car-following model accounting for the average headway effect in intelligent transportation system[J]. Physica A, 2017, 471: 778-787.
[21] YU Shaowei, SHI Zhongke. The effects of vehicular gap changes with memory on traffic flow in cooperative adaptive cruise control strategy[J]. Physica A, 2015, 428: 206-223.
[22] YU Shaowei, ZHAO Xiangmo, XU Zhigang, et al. The effects of velocity difference changes with memory on the dynamics characteristics and fuel economy of traffic flow[J]. Physica A, 2016, 461: 613-628.
[23] PENG Guanghan, LU Weizhen, HE Hongdi, et al. Nonlinear analysis of a new car-following model accounting for the optimal velocity changes with memory[J]. Communications in Nonlinear Science and Numerical Simulation, 2016, 40: 197-205.
[24] LI Zhipeng, LI Wenzhong, XU Shangzhi, et al. Analyses of vehicle’s self-stabilizing effect in an extended optimal velocity model by utilizing historical velocity in an environment of intelligent transportation system[J]. Nonlinear Dynamics, 2015, 80(1/2): 529-540.
[1] LING Fengru, ZHANG Chaoying, CHEN Yanyan, QIN Zhangrong. A Unified Boundary Condition Based on the Halfway Bounce-back Scheme in Lattice Boltzmann Method [J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(1): 70-78.
[2] KUANG Xianyan, CHEN Ziru. Mixed Traffic Flow Model of Signalized Intersections Involving Pedestrian Comity [J]. Journal of Guangxi Normal University(Natural Science Edition), 2019, 37(4): 1-15.
[3] MEI Chuncao， WEI Duqu*， LUO Xiaoshu. Stability Analysis of Inductive Load of Distributed Generation System [J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(2): 50-55.
[4] LI Yi-chun, DONG De-xin, WANG Yi-bing. Transport Time Scale in the Beilun River Estuary and Its Adjacent Area [J]. Journal of Guangxi Normal University(Natural Science Edition), 2015, 33(2): 56-63.
[5] XU Lun-hui, YOU Huang-yang. Short-term Traffic Flow Forecasting Based on Analysis of Characteristics and Impact Factors [J]. Journal of Guangxi Normal University(Natural Science Edition), 2013, 31(1): 1-5.
[6] YU Yan, BAI Ke-zhao, KONG Ling-jiang. Cellular Automaton Simulations of the Interactive Influence between Pedestrians and Vehicles [J]. Journal of Guangxi Normal University(Natural Science Edition), 2013, 31(1): 6-10.
[7] JIANG Xiao-feng, XU Lun-hui, ZHU Yue. Short-term Traffic Flow Prediction Based on SVM [J]. Journal of Guangxi Normal University(Natural Science Edition), 2012, 30(4): 13-17.
[8] XU Lun-hui, NI Yan-ming, LUO Qiang, HUANG Yan-guo. Lane-changing Model Based on Minimum Safety Distance [J]. Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(4): 1-6.
[9] PAN Jiang-hong, BAI Ke-zhao, KUANG Hua, KONG Ling-jiang. Cellular Automaton Traffic Flow Model Considering Effect of Visibility [J]. Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(3): 1-4.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © Journal of Guangxi Normal University(Natural Science Edition), All Rights Reserved.
Tel: 0773-5857325　E-mail: gxsdzkb@mailbox.gxnu.edu.cn
Powered by Beijing Magtech Co. Ltd