[1]Greenshields B D, et al. A study of traffic capacity[C]. Highway Research Board Proceedings. 1935.
[2]Treiterer J, J A Myers. The hysteresis phenomenon in traffic flow[C].Proceedings of the Sixth International Symposium on Transportation and Traffic Theory. 1974. A.H. & A.W. Reed, London.
[3]Kerner B S, H Rehborn. Experimental properties of complexity in traffic flow [J]. Physical Review E, 1996,53(5): R4275.
[4]Guan W, S He. Statistical features of traffic flow on urban freeways [J]. Physica A: Statistical Mechanics and its Applications, 2008,387(4): 944-954.
[5]Zhang H M,T Kim.A carfollowing theory for multiphase vehicular traffic flow [J].Transportation Research Part B:Methodology,2005,39:385-399.
[6]Kerner B S,S L Klenov.Deterministic microscopic threephase traffic flow models [J].Journal of Physics A: Mathematical and General, 2006,39(8): 1775-1809.
[7]Nagel K,M Schreckenberg.A cellular automaton model for freeway traffic [J]. Journal de Physique I, 1992,2(12): 2221-2229.
[8]Daganzo C F.A behavioral theory of multilane traffic flow,Part I: Long homogeneous freeway sections [J]. Transportation Research Part B: Methodological, 2002,36(2): 131-158.
[9]Helbing D,et al. Modelling widely scattered states in “synchronized” traffic flow and possible relevance for stock market dynamics [J]. Physica A: Statistical Mechanics and its Applications, 2002,303(1-2): 251-260.
[10]Wang R,et al.Synchronized flow and phase separations in singlelane mixed traffic flow[J].Physica A: Statistical Mechanics and its Applications,2007,378(2):475-484.
[11]Kerner B S.Threephase traffic theory and highway capacity [J].Physica A: Statistical Mechanics and its Applications, 2004,333: 379-440.
[12]Daganzo C F.A behavioral theory of multilane traffic flow [J].Part II: Merges and the onset of congestion.Transportation Research Part B: Methodological, 2002,36(2): 159-169.
[13]Kerner B S.Experimental features of selforganization in traffic flow [J].Physical Review Letters, 1998, 81(17): 3797.
[14]关伟,何蜀燕, 基于统计特性的城市快速路交通流状态划分[J].交通运输系统工程与信息, 2007,7(5): 42-50.[GUAN W, HE S Y, Phase identification of urban freeway traffic based on statistical properties [J].Journal of Transportation Systems Engineering and Information Technology,2007,7(5): 42-50.]
[15]He S,W Guan.Empirical investigations on traffic phase transitions at Beijing ring road[C].in Intelligent Transportation Systems Conference, IEEE,2007.
[16]林展熙,等, 基于上海延安高架录像资料的交通流实测研究 [J].水动力学研究与进展: A 辑, 2010,25(5): 683-693.[LIN Z X, et al.A study on traffic flow models based on measure video of Yanan expressway of Shanghai [J].Chinese Journal of Hydrodynamics,2010,25(5): 683-693.]
[17]Cassidy M J,M, Mauch.An observed traffic pattern in long traffic queues [J].Transportation Research Part A: Policy and Practice, 2001: 143-156.
[18]Laval J A,L, Leclercq.Microscopic modeling of the relaxation phenomenon using a macroscopic lanechanging model [J].Transportation Research Part B: Methodological, 2008,42(6): 511-522.
[19]Daganzo C F,J A Laval.Moving bottlenecks: A numerical method that converges in flows [J].Transportation Research Part B: Methodological, 2005,39(9): 855-863.
[20]Newell G F.A moving bottleneck [J].Transportation Research Part B: Methodological, 1998,32(8): 531-537.
[21]Richards P I.Shock waves on the highway [J].Operations Research, 1956: 42-51.
[22]Lighthill M J,G,B, Whitham.On kinematic waves.II.A theory of traffic flow on long crowded roads[C].Proceedings of the Royal Society of London.Series A, Mathematical and Physical Sciences (1934-1990), 1955,229(1178): 317-345.
[23]Gazis D C, R Herman,R W Rothery.Nonlinear followtheleader models of traffic flow [J].Operations Research, 1961,9(4): 545-567.
[24]Chandler R E,R Herman,E W Montroll.Traffic dynamics:studies in car following [J].Operations Research, 1958,6(2): 165-184.
[25]Cremer M,J Ludwig.A fast simulation model for traffic flow on the basis of Boolean operations [J].Mathematics and Computers in Simulation, 1986,28(4): 297-303.
[26]Rascle M.An improved macroscopic model of traffic flow: Derivation and links with the LighthillWhitham model [J].Mathematical and Computer Modelling, 2002,35(5-6): 581-590.
[27]Kerner B S, et al.Deterministic spontaneous appearance of traffic jams in slightly inhomogeneous traffic flow [J].Physical Review E, 1995,51(6): 6243.
[28]Payne H J.Mathematical models of public systems[J], ed.G.A.Bekey.Vol.1.1971: Simulation Council, La Jolla.
[29]Kerner, B.S. and P. Konhäuser, Cluster effect in initially homogeneous traffic flow [J]. Physical Review E, 1993. 48(4): R2335.
[30]Jiang R, Q S Wu, Z J Zhu.A new continuum model for traffic flow and numerical tests [J].Transportation Research B, 2002,36(5): 405-419.
[31]唐铁桥,黄海军, 两车道交通流的波动分析 [J].北京航空航天大学学报, 2005,31(10): 1121-1124.[TANG T Q, HUANG H J.Wave properties of a traffic flow model for freeways with two lanes [J].Journal of Beijing University of Aeronautics and Astronautics,2005,31(10): 1121-1124.]
[32]Bando M, et al.Dynamical model of traffic congestion and numerical simulation [J].Physical Review E, 1995,51(2): 1035.
[33]Helbing D.Improved fluiddynamic model for vehicular traffic [J].Physical Review E, 1995,51(4): 3164.
[34]Laval J A, C F Daganzo.Lanechanging in traffic streams [J].Transportation Research Part B: Methodological, 2006,40(3): 251-264.
[35]Lee H K, et al.Mechanical restriction versus Human overreaction triggering congested traffic states[J].Physical Review Letters, 2004,92(23): 238702.
[36]Treiber M, A Hennecke, D Helbing.Congested traffic states in empirical observations and microscopic simulations[J].Physical Review E, 2000,62(2): 1805.
[37]Zhang H M.Structural properties of solutions arising from a nonequilibrium traffic flow theory [J].Transportation Research Part B: Methodological, 2000,34(7): 583-603.
[38]Gao K, et al.Discontinuous transition from free flow to synchronized flow induced by shortrange interaction between vehicles in a threephase traffic flow model [J].Physica A: Statistical Mechanics and its Applications, 2009, 388(1516): 3233-3243.
[39]Kerner B S,S L Klenov.A micropscopic model for phase transitions in traffic flow [J].Journal of Physics A: Mathematical and General, 2002,35(3): L31-L43.
[40]He S, W Guan, L Song.Explaining traffic patterns at onramp vicinity by a driver perception model in the framework of threephase traffic theory [J].Physica A: Statistical Mechanics and its Applications, 2010,389(4): 825-836.
[41]Tang T, et al.A new fundamental diagram theory with the individual difference of the driver perception ability [J].Nonlinear Dynamics, 2011: 1-11.
[42]Kerner B S, S L Klenov, M Schreckenberg.Simple cellular automaton model for traffic breakdown, highway capacity, and synchronized flow [J].Physical Review E, 2011,84(4): 046110.
[43]Helbing D.Traffic and related selfdriven manyparticle systems [J].Reviews of Modern Physics, 2001,73(4): 1067.
[44]李力,姜锐,贾斌,等.现代交通流理论与应用(卷I)——高速公路交通流(第一版)[M].清华大学出版社.[LI L, JIANG R, JIA B,et al.Modern traffic flow theory and application (Volume I)—Highway traffic flow (the first edition)[M].Tsinghua University Publication.]
[45]Jin W L, H M Zhang.The inhomogeneous kinematic wave traffic flow model as a resonant nonlinear system [J].Transportation Science, 2003,37(3): 294-311.
[46]Burger R, et al.Difference schemes, entropy solutions, and speedup impulse for aninhomogeneous kinematic traffic flow model [J].Networks and Heterogeneous Media, 2008,3(1): 1.
[47]Jin W L.A kinematic wave theory of lanechanging traffic flow [J].Transportation Research Part B: Methodological, 2010,44(8-9): 1001-1021.
[48]Colombo R M, F Marcellini, M Rascle.A 2phase traffic model based on a speed bound [J].Arxiv preprint arXiv:0909,2735, 2009.
[49]Pipes L A.An operational analysis of traffic dynamics[J].Journal of applied physics, 1953.24: 274.
[50]Lenz H, C K Wagner,R Sollacher.Multianticipative carfollowing model [J].The European Physical Journal B : Condensed Matter and Complex Systems, 1999,7(2): 331-335.
[51]郝媛, 孙立军, 徐天东.交通流Breakdown现象与交通扰动演化模型 [J].同济大学学报:自然科学版, 2009(9): 11781184.[HAO Y, SUN L J, XU T D.Traffic breakdown phenomenon and evolution model of traffic perturbation [J].Journal of Tongji University(Natural Science), 2009(9): 1178-1184.]
[52]Lubashevsky I, P Wagner, R Mahnke.Bounded rational driver models [J].The European Physical Journal B: Condensed Matter and Complex Systems, 2003,32(2): 243-247.
[53]Tang T Q,et al.A new dynamic model for heterogeneous traffic flow [J].Physics Letters A, 2009,373(29): 2461-2466.
[54]Barlovic R, et al.Metastable states in cellular automata for traffic flow [J].The European Physical Journal BCondensed Matter and Complex Systems, 1998,5(3): 793-800.
[55]Benjamini I,P A Ferrari,C Landim.Asymmetric conservative processes with random rates[J].Stochastic Processes and Their Applications, 1996,61(2): 181-204.
[56]Kerner B S, S L Klenov, D E Wolf.Cellular automata approach to threephase traffic theory [J].Journal of Physics A: Mathematical and General, 2002,35: 9971.
[57]McCartney M.A discrete time car following model and the biparameter logistic map [J].Communications in Nonlinear Science and Numerical Simulation, 2009,14(1): 233-243.
[58]Low D J,P S Addison.A nonlinear temporal headway model of traffic dynamics [J].Nonlinear Dynamics, 1998,16(2): 127-151.
[59]Nagatani T,K Nakanishi.Delay effect on phase transitions in traffic dynamics [J].Physical Review E, 1998,57(6): 6415.
[60]吴胜春、郑贤清,郭明旻,等国内典型大城市快速路交通流实例[J]中国科学,物理学力学天文学,2011,41(6):791-800.[WU S C,ZHENG X Q,GUO M M, et al.Survey report on urban freeway traffic flow of several typical cities in China[J]Scientia Sinical Phsyica, Mechanica & Astronomica,2011,41(6):790-800.] |