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驾驶员预估效应下车流能耗演化机理研究

孙棣华 康义容 李华民

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驾驶员预估效应下车流能耗演化机理研究

孙棣华, 康义容, 李华民

Analysis of evolution mechanism of traffic energy dissipation by considering driver’s forecast effect

Sun Di-Hua, Kang Yi-Rong, Li Hua-Min
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  • 考虑实际交通中驾驶员预估效应对车辆跟驰行为的影响, 提出了一个改进跟驰模型. 采用线性稳定性理论获得了该模型的线性稳定性判据. 运用数值仿真的方法, 系统研究了驾驶员预估效应下车流的整体平均能耗和单车能耗的演化机理. 研究结果表明, 驾驶员预估效应能显著提高车流稳定性, 且随着驾驶员预估时长的增加, 车流的整体平均能量损耗和单车能量损耗将逐渐降低.
    Starting from the full velocity difference model, an extended car-following model is proposed by considering the influence that in real traffic the driver’s forecast has an effect on car-following behavior of traffic flow. The mechanism how the stability and energy dissipation of traffic flow are in fluenced by the driver’s forecast effect is revealed by the application of the proposed new model. The linear stability condition of the new model is derived theoretically through linear stability theory. The phase diagram of linear stability condition is divided into two regions by each stability curve: the stable and unstable regions. And the corresponding stable region will be enlarged with the increase of driver’s forecast time, hence the traffic condition will be improved through considering driver’s forecast effect. By numerical simulation method, the space-time evolution relation between the velocity and headway of vehicles in car-following queue is investigated systematically under the influence of driver’s forecast. In the same time, the evolution mechanisms of the overall average energy dissipation of traffic flow and individual vehicle energy consumption with the addition of small disturbance are discussed explicitly under a periodic condition, and it is discovered that the overall average energy consumption in traffic flow and the energy dissipation of individual vehicle is accompanied by a complex critical phase transition process. Good agreement between the numerical simulation and the theoretical analysis show that by considering of driver’s forecast effect, not only the stability of traffic flow is enhanced obviously, but the energy consumption is reduced remarkably as we expect. Furthermore, it is verified that both the overall average energy consumption of the considered traffic flow and the energy consumption of an individual vehicle are reduced gradually along with the increase of driver’s forecast time. On the other hand, numerical simulation results verify that the shortcoming of negative speed appearing in the full velocity difference model with low reaction coefficient can be effectively avoided by increasing the driver’s forecast time in the improved model, which means that the dynamic characteristics of traffic flow can be described more precisely by the proposed model.
    • 基金项目: 教育部博士点基金项目(批准号: 20120191110047)和中央高校基本科研业务费专项资金(批准号: 106112014CDJZR178801)资助的课题.
    • Funds: Project supported by the Doctoral Program of Higher Education of China (Grant No. 20120191110047), and the Fundamental Research Funds for the Central Universities (Grant No. 106112014CDJZR178801).
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    Sun D H , Zhang M , Tian C 2014 Mod. Phys. Lett. B 28 1450091

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    Zhou T, Sun D H, Kang Y R, Li H M, Tian C 2014 Commun. Nonlinear Sci. Numer. Simul. 19 3820

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    Richards P I 1956 Oper. Res. 4 42

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    Payne H J 1971 Simul. Coun. Proc. Ser. Math. Sys. 1 51

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    Jiang R, Wu Q S, Zhu Z J 2002 Transp. Res. B 36 405

    [13]

    Bando M, Hasebe K, Shibata A, Sugiyama Y 1995 Phys. Rev. E 51 1035

    [14]

    Helbing D, Tilch B 1998 Phys. Rev. E 58 133

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    Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101

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    Nagel K, Schreckenberg M 1992 J. Phys. I 2 2221

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    Fukui M, Ishibashi Y 1996 J. Phys. Soc. Jpn. 65 1868

    [18]

    Nakayama A, Sugiyama Y, Hasebe K 2002 Phys. Rev. E 65 016112

    [19]

    Wang T, Gao Z Y, Zhao X M 2006 Acta Phys. Sin. 55 634 (in Chinese) [王涛, 高自友, 赵小梅 2006 物理学报 55 634]

    [20]

    Shi W, Xue Y 2007 Physica A 381 399

    [21]

    Zhang W, Zhang W, Yang X Q 2008 Physica A 387 4657

    [22]

    Tian H H, Xue Y, Kan S J, Liang Y J 2009 Acta Phys. Sin. 58 4506 (in Chinese) [田欢欢, 薛郁, 康三军, 梁玉娟 2009 物理学报 58 4506]

    [23]

    Wen J, Tian H H, Kan S J, Xue Y 2010 Acta Phys. Sin. 59 7693 (in Chinese) [温坚, 田欢欢, 康三军, 薛郁 2010 物理学报 59 7693]

    [24]

    Zhu W X, Zhang C H 2013 Physica A 392 3301

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    Tang T Q, Huang H J, Shang H Y 2010 Phys. Lett. A 374 1668

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  • [1]

    Li Z P, Zhang R, Xu S Z, Qian Y Q 2015 Commun. Nonlinear Sci. Numer. Simul. 24 52

    [2]

    Gupta A K, Redhu P 2013 Physica A 392 5622

    [3]

    Lei Y, Zhong K S, Tong L 2014 Phys. Lett. A 378 348

    [4]

    Jin S, Wang D H, Tao P F, Li P F 2010 Physica A 389 4654

    [5]

    Sun D H , Zhang M , Tian C 2014 Mod. Phys. Lett. B 28 1450091

    [6]

    Zhou T, Sun D H, Kang Y R, Li H M, Tian C 2014 Commun. Nonlinear Sci. Numer. Simul. 19 3820

    [7]

    Chowdhury D, Santen L, Schadschneider A 2000 Phy. Rep. 329 199

    [8]

    Helbing D 2001 Rev. Mod. Phys. 73 1067

    [9]

    Lighthill M J, Whitham G B 1955 Proc. Roy. Soc. A 229 317

    [10]

    Richards P I 1956 Oper. Res. 4 42

    [11]

    Payne H J 1971 Simul. Coun. Proc. Ser. Math. Sys. 1 51

    [12]

    Jiang R, Wu Q S, Zhu Z J 2002 Transp. Res. B 36 405

    [13]

    Bando M, Hasebe K, Shibata A, Sugiyama Y 1995 Phys. Rev. E 51 1035

    [14]

    Helbing D, Tilch B 1998 Phys. Rev. E 58 133

    [15]

    Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101

    [16]

    Nagel K, Schreckenberg M 1992 J. Phys. I 2 2221

    [17]

    Fukui M, Ishibashi Y 1996 J. Phys. Soc. Jpn. 65 1868

    [18]

    Nakayama A, Sugiyama Y, Hasebe K 2002 Phys. Rev. E 65 016112

    [19]

    Wang T, Gao Z Y, Zhao X M 2006 Acta Phys. Sin. 55 634 (in Chinese) [王涛, 高自友, 赵小梅 2006 物理学报 55 634]

    [20]

    Shi W, Xue Y 2007 Physica A 381 399

    [21]

    Zhang W, Zhang W, Yang X Q 2008 Physica A 387 4657

    [22]

    Tian H H, Xue Y, Kan S J, Liang Y J 2009 Acta Phys. Sin. 58 4506 (in Chinese) [田欢欢, 薛郁, 康三军, 梁玉娟 2009 物理学报 58 4506]

    [23]

    Wen J, Tian H H, Kan S J, Xue Y 2010 Acta Phys. Sin. 59 7693 (in Chinese) [温坚, 田欢欢, 康三军, 薛郁 2010 物理学报 59 7693]

    [24]

    Zhu W X, Zhang C H 2013 Physica A 392 3301

    [25]

    Tang T Q, Huang H J, Shang H Y 2010 Phys. Lett. A 374 1668

    [26]

    Peng G H 2013 Commun. Nonlinear Sci. Numer. Simul. 18 2801.

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出版历程
  • 收稿日期:  2014-12-22
  • 修回日期:  2015-03-04
  • 刊出日期:  2015-08-05

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