换道概率对交通系统动能的影响

唐铁桥; 黄海军; 尚华艳

doi:10.7498/aps.59.6003

摘要

基于跟车模型的特点,提出了跟车模型的动能变化公式,利用该公式研究换道概率对各车辆动能的影响.数值实验结果表明,换道概率和相对速度对各车辆动能产生较大影响,但换道概率和相对速度会分别降低其动能变化频率和幅度.此外,系统增加的平均动能会随着系统最大换道概率的增加而降低.

关键词:

交通流 /
跟车模型 /
换道概率 /
动能

Based on the properties of the car-following model,we present in this paper a formula of the kinetic energy change and use the formula to study the effect of the lane changing on the kinetic energy of the system. The numerical results show that the lane changing probability and the relative velocity have great effect on the kinetic energy,but the lane changing probability and the relative speed will respectively lessen the frequency and amplitude of the change of the kinetic energy. In addition,the enhanced average kinetic energy of the system will decrease with the increase of its maximum lane changing probability.

Keywords:

作者及机构信息

(1)北京航空航天大学交通科学与工程学院,北京 100191;北京航空航天大学经济管理学院,北京 100191; (2)北京航空航天大学经济管理学院,北京 100191; (3)清华大学交通研究所,北京 100084

基金项目: 教育部新世纪优秀人才支持计划(批准号:NCET-08-0038),国家自然科学基金(批准号:70701002,70971007和70521001)和国家重点基础研究发展计划(批准号:2006CB705503)资助的课题.

Authors and contacts

(1)Institute of Transportation Engineering,Tsinghua University,Beijing 100084,China; (2)School of Economics and Management,Beijing University of Aeronautics and Astronautics,Beijing 100191,China; (3)School of Transportation Science and Engineering,Beijing University of Aeronauticsand Astronautics,Beijing 100191,China;School of Economics and Management,Beijing University of Aeronautics and Astronautics,Beijing 100191,China

参考文献

[1]	Chowdhury D,Santen L,Schadschneider A 2000 Phys. Rep. 329 199
[2]	Bando M,Hasebe K,Nakayama A,Shibata A,Sugiyama Y 1995 Phys. Rev. E 51 1035
[3]	Helbing D,Tilch B 1998 Phys. Rev. E 58 133
[4]	Jiang R,Wu Q S,Zhu Z J 2001 Phys. Rev. E 64 017101
[5]	Xue Y 2002 Chin. Phys. 11 1128
[6]	Xue Y,Dong L Y,Yuan Y W,Dai S Q 2002 Acta Phys. Sin. 51 492 (in Chinese) [薛郁、董力耘、袁以武、戴世强 2002 51 492]
[7]	Xue Y 2003 Acta Phys. Sin. 52 2750 (in Chinese) [薛郁 2003 52 2750]
[8]	Li Z P,Liu Y C 2006 Chin. Phys. 15 1570
[9]	Nagatani T 1999 Phys Rev. E 60 6395
[10]	Ge H X,Dai S Q,Dong L Y,Xue Y 2004 Phys. Rev. E 70 066134
[11]	Zhao X M,Gao Z Y 2005 Eur. Phys. J. B 47 145
[12]	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 55 634]
[13]	Han X L,Jiang C Y,Ge H X, Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese) [韩祥临、姜长元、葛红霞、戴世强 2007 56 4383]
[14]	Tang T Q,Huang H J,Wong S C,Jiang R 2009 Chin. Phys. B 18 975
[15]	Tang T Q,Huang H J,Xue Y 2006 Acta Phys. Sin. 55 4026 (in Chinese) [唐铁桥、黄海军、薛郁 2006 55 4026]
[16]	Tang T Q,Huang H J,Xu G,Xue Y 2008 Acta Phys. Sin. 57 56 (in Chinese) [唐铁桥、黄海军、薛郁 2006 57 56]
[17]	Kuang H,Kong L J,Liu M R 2004 Acta Phys. Sin. 53 2894 (in Chinese) [邝华、孔令江、刘慕仁 2004 53 2894]
[18]	Kuang H,Kong L J,Liu M R 2004 Acta Phys. Sin. 53 4138 (in Chinese) [邝华、孔令江、刘慕仁 2004 53 4138]
[19]	Zheng R S,Tan H L,Kong L J,Liu M R 2005 Acta Phys. Sin. 54 3516 (in Chinese) [郑容森、谭惠丽、孔令江、刘慕仁 2005 54 3516]
[20]	Wu K F,Kong L J,Liu M R 2006 Acta Phys. Sin. 55 6275 (in Chinese) [吴可非、孔令江、刘慕仁 2006 55 6275]
[21]	Xiao R J,Kong L J,Liu M R 2007 Acta Phys. Sin. 56 740 (in Chinese) [肖瑞杰、孔令江、刘慕仁 2007 56 740]
[22]	Qian Y S,Wang H L,Wang C L 2008 Acta Phys. Sin. 57 2115 (in Chinese) [钱勇生、汪海龙、王春雷 2008 57 2115]
[23]	Li X G,Gao Z Y,Zhao X M,Jia B 2008 Acta Phys. Sin. 57 4777 (in Chinese) [李新刚、高自友、赵小梅、贾斌 2008 57 4777]
[24]	Tian H H,Xue Y,Kang S J,Liang X J 2009 Acta Phys. Sin. 58 4506 (in Chinese) [田欢欢、薛郁、康三军、梁玉娟 2009 58 4506]
[25]	Tang T Q,Huang H J,Wong S C,Jiang R 2009 Acta Mech. Sin. 24 399
[26]	Tang T Q,Wong S C,Huang H J,Zhang P 2009 Journal of Advanced Transportation 43 245
[27]	Peng G H,Sun D H,He H P 2009 Chin. Phys. B 18 468
[28]	Peng G H,Sun D H 2009 Chin. Phys. B 18 5420
[29]	Yang X B 2009 Acta Phys. Sin. 58 836 (in Chinese) [杨小宝 2009 58 836]
[30]	Zhang W,Zhang W,Yang X Q 2008 Physica A 387 4657
[31]	Huang D W 2002 Phys. Rev. E 66 026124

施引文献

[1]	Chowdhury D,Santen L,Schadschneider A 2000 Phys. Rep. 329 199
[2]	Bando M,Hasebe K,Nakayama A,Shibata A,Sugiyama Y 1995 Phys. Rev. E 51 1035
[3]	Helbing D,Tilch B 1998 Phys. Rev. E 58 133
[4]	Jiang R,Wu Q S,Zhu Z J 2001 Phys. Rev. E 64 017101
[5]	Xue Y 2002 Chin. Phys. 11 1128
[6]	Xue Y,Dong L Y,Yuan Y W,Dai S Q 2002 Acta Phys. Sin. 51 492 (in Chinese) [薛郁、董力耘、袁以武、戴世强 2002 51 492]
[7]	Xue Y 2003 Acta Phys. Sin. 52 2750 (in Chinese) [薛郁 2003 52 2750]
[8]	Li Z P,Liu Y C 2006 Chin. Phys. 15 1570
[9]	Nagatani T 1999 Phys Rev. E 60 6395
[10]	Ge H X,Dai S Q,Dong L Y,Xue Y 2004 Phys. Rev. E 70 066134
[11]	Zhao X M,Gao Z Y 2005 Eur. Phys. J. B 47 145
[12]	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 55 634]
[13]	Han X L,Jiang C Y,Ge H X, Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese) [韩祥临、姜长元、葛红霞、戴世强 2007 56 4383]
[14]	Tang T Q,Huang H J,Wong S C,Jiang R 2009 Chin. Phys. B 18 975
[15]	Tang T Q,Huang H J,Xue Y 2006 Acta Phys. Sin. 55 4026 (in Chinese) [唐铁桥、黄海军、薛郁 2006 55 4026]
[16]	Tang T Q,Huang H J,Xu G,Xue Y 2008 Acta Phys. Sin. 57 56 (in Chinese) [唐铁桥、黄海军、薛郁 2006 57 56]
[17]	Kuang H,Kong L J,Liu M R 2004 Acta Phys. Sin. 53 2894 (in Chinese) [邝华、孔令江、刘慕仁 2004 53 2894]
[18]	Kuang H,Kong L J,Liu M R 2004 Acta Phys. Sin. 53 4138 (in Chinese) [邝华、孔令江、刘慕仁 2004 53 4138]
[19]	Zheng R S,Tan H L,Kong L J,Liu M R 2005 Acta Phys. Sin. 54 3516 (in Chinese) [郑容森、谭惠丽、孔令江、刘慕仁 2005 54 3516]
[20]	Wu K F,Kong L J,Liu M R 2006 Acta Phys. Sin. 55 6275 (in Chinese) [吴可非、孔令江、刘慕仁 2006 55 6275]
[21]	Xiao R J,Kong L J,Liu M R 2007 Acta Phys. Sin. 56 740 (in Chinese) [肖瑞杰、孔令江、刘慕仁 2007 56 740]
[22]	Qian Y S,Wang H L,Wang C L 2008 Acta Phys. Sin. 57 2115 (in Chinese) [钱勇生、汪海龙、王春雷 2008 57 2115]
[23]	Li X G,Gao Z Y,Zhao X M,Jia B 2008 Acta Phys. Sin. 57 4777 (in Chinese) [李新刚、高自友、赵小梅、贾斌 2008 57 4777]
[24]	Tian H H,Xue Y,Kang S J,Liang X J 2009 Acta Phys. Sin. 58 4506 (in Chinese) [田欢欢、薛郁、康三军、梁玉娟 2009 58 4506]
[25]	Tang T Q,Huang H J,Wong S C,Jiang R 2009 Acta Mech. Sin. 24 399
[26]	Tang T Q,Wong S C,Huang H J,Zhang P 2009 Journal of Advanced Transportation 43 245
[27]	Peng G H,Sun D H,He H P 2009 Chin. Phys. B 18 468
[28]	Peng G H,Sun D H 2009 Chin. Phys. B 18 5420
[29]	Yang X B 2009 Acta Phys. Sin. 58 836 (in Chinese) [杨小宝 2009 58 836]
[30]	Zhang W,Zhang W,Yang X Q 2008 Physica A 387 4657
[31]	Huang D W 2002 Phys. Rev. E 66 026124

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