메뉴 건너뛰기




Volumn 52, Issue , 2013, Pages 31-55

Phase transition model of non-stationary traffic flow: Definition, properties and solution method

Author keywords

Cell transmission model; Driver heterogeneity; Macroscopic model; Model benchmark; Numerical method; Traffic flow

Indexed keywords

BENCHMARKING;

EID: 84876306985     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2013.02.005     Document Type: Article
Times cited : (33)

References (78)
  • 2
    • 0025417832 scopus 로고
    • What does the entropy condition mean in traffic flow theory?
    • Ansorge R. What does the entropy condition mean in traffic flow theory?. Transportation Research Part B 1990, 24(2):133-143.
    • (1990) Transportation Research Part B , vol.24 , Issue.2 , pp. 133-143
    • Ansorge, R.1
  • 3
    • 0033691480 scopus 로고    scopus 로고
    • Resurrection of "second order" models of traffic flow
    • Aw A., Rascle M. Resurrection of "second order" models of traffic flow. SIAM Journal on Applied Mathematics 2000, 60(3):916-938.
    • (2000) SIAM Journal on Applied Mathematics , vol.60 , Issue.3 , pp. 916-938
    • Aw, A.1    Rascle, M.2
  • 4
    • 0002646175 scopus 로고    scopus 로고
    • Modelling advanced transport telematic applications with microscopic simulators: the case with AIMSUN2.
    • Nottingham, UK
    • Barcelo, J., Casas, J., Ferrer, J., Garcia, D., 1998. Modelling advanced transport telematic applications with microscopic simulators: the case with AIMSUN2. In: Proceedings of the 10th European Simulation Symposium, Nottingham, UK, pp. 362-367.
    • (1998) Proceedings of the 10th European Simulation Symposium , pp. 362-367
    • Barcelo, J.1    Casas, J.2    Ferrer, J.3    Garcia, D.4
  • 5
    • 84876335908 scopus 로고    scopus 로고
    • Mobile Millennium Final Report. Tech. rep., California Center for Innovative Transportation, Institute of Transportation Studies, University of California, Berkeley, Research Report, UCB-ITS-CWP-2011-6.
    • Bayen, A., Butler, J., Patire, A., 2011. Mobile Millennium Final Report. Tech. rep., California Center for Innovative Transportation, Institute of Transportation Studies, University of California, Berkeley, Research Report, UCB-ITS-CWP-2011-6.
    • (2011)
    • Bayen, A.1    Butler, J.2    Patire, A.3
  • 7
    • 84863509580 scopus 로고    scopus 로고
    • On sequential data assimilation for scalar macroscopic traffic flow models
    • Blandin S., Couque A., Bayen A., Work D. On sequential data assimilation for scalar macroscopic traffic flow models. Physica D 2012, 241:1421-1440.
    • (2012) Physica D , vol.241 , pp. 1421-1440
    • Blandin, S.1    Couque, A.2    Bayen, A.3    Work, D.4
  • 11
    • 0030101040 scopus 로고    scopus 로고
    • PARAMICS-Parallel microscopic simulation of road traffic
    • Cameron G., Duncan G. PARAMICS-Parallel microscopic simulation of road traffic. The Journal of Supercomputing 1996, 10(1):25-53.
    • (1996) The Journal of Supercomputing , vol.10 , Issue.1 , pp. 25-53
    • Cameron, G.1    Duncan, G.2
  • 12
    • 0031594062 scopus 로고    scopus 로고
    • Bivariate relations in nearly stationary highway traffic
    • Cassidy M. Bivariate relations in nearly stationary highway traffic. Transportation Research Part B 1998, 32(1):49-59.
    • (1998) Transportation Research Part B , vol.32 , Issue.1 , pp. 49-59
    • Cassidy, M.1
  • 14
    • 0029333050 scopus 로고
    • Methodology for assessing dynamics of freeway traffic flow
    • Cassidy M., Windover J. Methodology for assessing dynamics of freeway traffic flow. Transportation Research Record 1995, 1484:73-79.
    • (1995) Transportation Research Record , vol.1484 , pp. 73-79
    • Cassidy, M.1    Windover, J.2
  • 15
    • 0029389057 scopus 로고
    • On the functional form of the speed-density relationship. Part II: Empirical investigation
    • Castillo J.D., Benitez F. On the functional form of the speed-density relationship. Part II: Empirical investigation. Transportation Research Part B 1995, 29(5):391-406.
    • (1995) Transportation Research Part B , vol.29 , Issue.5 , pp. 391-406
    • Castillo, J.D.1    Benitez, F.2
  • 16
  • 17
    • 46949106911 scopus 로고    scopus 로고
    • Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling
    • Chalons C., Goatin P. Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling. Interfaces and Free Boundaries 2008, 10(2):195-219.
    • (2008) Interfaces and Free Boundaries , vol.10 , Issue.2 , pp. 195-219
    • Chalons, C.1    Goatin, P.2
  • 19
    • 73149084182 scopus 로고    scopus 로고
    • From heterogeneous drivers to macroscopic patterns in congestion
    • Chiabaut N., Leclercq L., Buisson C. From heterogeneous drivers to macroscopic patterns in congestion. Transportation Research Part B 2010, 44(2):299-308.
    • (2010) Transportation Research Part B , vol.44 , Issue.2 , pp. 299-308
    • Chiabaut, N.1    Leclercq, L.2    Buisson, C.3
  • 21
    • 0001405969 scopus 로고    scopus 로고
    • Statistical physics of vehicular traffic and some related systems
    • Chowdhury D., Santen L., Schadschneider A. Statistical physics of vehicular traffic and some related systems. Physics Reports 2000, 329(4-6):199-329.
    • (2000) Physics Reports , vol.329 , Issue.4-6 , pp. 199-329
    • Chowdhury, D.1    Santen, L.2    Schadschneider, A.3
  • 22
    • 0036170169 scopus 로고    scopus 로고
    • On a 2×2 hyperbolic traffic flow model
    • Colombo R. On a 2×2 hyperbolic traffic flow model. Mathematical and Computer Modelling 2002, 35(5-6):683-688.
    • (2002) Mathematical and Computer Modelling , vol.35 , Issue.5-6 , pp. 683-688
    • Colombo, R.1
  • 23
    • 0038443911 scopus 로고    scopus 로고
    • Hyperbolic phase transitions in traffic flow
    • Colombo R. Hyperbolic phase transitions in traffic flow. SIAM Journal on Applied Mathematics 2003, 63(2):708-721.
    • (2003) SIAM Journal on Applied Mathematics , vol.63 , Issue.2 , pp. 708-721
    • Colombo, R.1
  • 24
    • 33847370265 scopus 로고    scopus 로고
    • Global well-posedness of traffic flow models with phase transitions
    • Colombo R., Goatin P., Priuli F. Global well-posedness of traffic flow models with phase transitions. Nonlinear Analysis 2007, 66(11):2413-2426.
    • (2007) Nonlinear Analysis , vol.66 , Issue.11 , pp. 2413-2426
    • Colombo, R.1    Goatin, P.2    Priuli, F.3
  • 25
    • 0019634733 scopus 로고
    • Parameter identification for a traffic flow model
    • Cremer M., Papageorgiou M. Parameter identification for a traffic flow model. Automatica 1981, 17(6):837-843.
    • (1981) Automatica , vol.17 , Issue.6 , pp. 837-843
    • Cremer, M.1    Papageorgiou, M.2
  • 27
    • 0028481056 scopus 로고
    • The cell transmission model: a dynamic representation of highway traffic consistent with the hydrodynamic theory
    • Daganzo C. The cell transmission model: a dynamic representation of highway traffic consistent with the hydrodynamic theory. Transportation Research Part B 1994, 28(4):269-287.
    • (1994) Transportation Research Part B , vol.28 , Issue.4 , pp. 269-287
    • Daganzo, C.1
  • 28
    • 0029416695 scopus 로고
    • Requiem for second-order fluid approximations of traffic flow
    • Daganzo C. Requiem for second-order fluid approximations of traffic flow. Transportation Research Part B 1995, 29(4):277-286.
    • (1995) Transportation Research Part B , vol.29 , Issue.4 , pp. 277-286
    • Daganzo, C.1
  • 29
    • 0032797710 scopus 로고    scopus 로고
    • Possible explanations of phase transitions in highway traffic
    • Daganzo C., Cassidy M., Bertini R. Possible explanations of phase transitions in highway traffic. Transportation Research Part A 1999, 33(5):365-379.
    • (1999) Transportation Research Part A , vol.33 , Issue.5 , pp. 365-379
    • Daganzo, C.1    Cassidy, M.2    Bertini, R.3
  • 32
    • 27744568944 scopus 로고
    • VISSIM: A microscopic simulation tool to evaluate actuated signal control including bus priority.
    • Dallas, TX.
    • Fellendorf, M., 1994. VISSIM: A microscopic simulation tool to evaluate actuated signal control including bus priority. In: 64th Institute of Transportation Engineers Annual Meeting, Dallas, TX.
    • (1994) 64th Institute of Transportation Engineers Annual Meeting
    • Fellendorf, M.1
  • 33
    • 39749094834 scopus 로고    scopus 로고
    • American Institute of Mathematical Sciences, Springfield, MO
    • Garavello M., Piccoli B. Traffic Flow on Networks 2006, American Institute of Mathematical Sciences, Springfield, MO.
    • (2006) Traffic Flow on Networks
    • Garavello, M.1    Piccoli, B.2
  • 35
    • 0000026271 scopus 로고
    • Car-following theory of steady-state traffic flow
    • Gazis D., Herman R., Potts R. Car-following theory of steady-state traffic flow. Operations Research 1959, 7(4):499-505.
    • (1959) Operations Research , vol.7 , Issue.4 , pp. 499-505
    • Gazis, D.1    Herman, R.2    Potts, R.3
  • 36
    • 0000935266 scopus 로고
    • A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics
    • Godunov S. A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics. Matematicheskii Sbornik 1959, 89(3):271-306.
    • (1959) Matematicheskii Sbornik , vol.89 , Issue.3 , pp. 271-306
    • Godunov, S.1
  • 37
    • 0002810672 scopus 로고
    • An analysis of traffic flow
    • Greenberg H. An analysis of traffic flow. Operations Research 1959, 7(1):79-85.
    • (1959) Operations Research , vol.7 , Issue.1 , pp. 79-85
    • Greenberg, H.1
  • 39
    • 5544220530 scopus 로고
    • Improved fluid-dynamic model for vehicular traffic
    • Helbing D. Improved fluid-dynamic model for vehicular traffic. Physical Review E 1995, 51(4):3164-3169.
    • (1995) Physical Review E , vol.51 , Issue.4 , pp. 3164-3169
    • Helbing, D.1
  • 40
    • 0035470907 scopus 로고    scopus 로고
    • Traffic and related self-driven many-particle systems
    • Helbing D. Traffic and related self-driven many-particle systems. Reviews of Modern Physics 2001, 73(4):1067-1141.
    • (2001) Reviews of Modern Physics , vol.73 , Issue.4 , pp. 1067-1141
    • Helbing, D.1
  • 42
    • 77954542075 scopus 로고    scopus 로고
    • A kinematic wave theory of lane-changing traffic flow
    • Jin W. A kinematic wave theory of lane-changing traffic flow. Transportation Research Part B 2010, 44(8-9):1001-1021.
    • (2010) Transportation Research Part B , vol.44 , Issue.8-9 , pp. 1001-1021
    • Jin, W.1
  • 43
    • 0013275973 scopus 로고    scopus 로고
    • Experimental features of self-organization in traffic flow
    • Kerner B. Experimental features of self-organization in traffic flow. Physical Review Letters 1998, 81(17):3797-3800.
    • (1998) Physical Review Letters , vol.81 , Issue.17 , pp. 3797-3800
    • Kerner, B.1
  • 44
    • 4243882629 scopus 로고    scopus 로고
    • Experimental properties of complexity in traffic flow
    • Kerner B., Rehborn H. Experimental properties of complexity in traffic flow. Physical Review E 1996, 53(5):4275-4278.
    • (1996) Physical Review E , vol.53 , Issue.5 , pp. 4275-4278
    • Kerner, B.1    Rehborn, H.2
  • 45
    • 4243332156 scopus 로고    scopus 로고
    • Experimental properties of phase transitions in traffic flow
    • Kerner B., Rehborn H. Experimental properties of phase transitions in traffic flow. Physical Review Letters 1997, 79(20):4030-4033.
    • (1997) Physical Review Letters , vol.79 , Issue.20 , pp. 4030-4033
    • Kerner, B.1    Rehborn, H.2
  • 46
    • 38849180740 scopus 로고    scopus 로고
    • Linking synchronized flow and kinematic waves.
    • Berlin, Germany
    • Laval, J., 2005. Linking synchronized flow and kinematic waves. In: Proceedings of Traffic and Granular Flow'05, Berlin, Germany, pp. 521-526.
    • (2005) Proceedings of Traffic and Granular Flow'05 , pp. 521-526
    • Laval, J.1
  • 47
    • 78650933762 scopus 로고    scopus 로고
    • Hysteresis in traffic flow revisited: an improved measurement method
    • Laval J. Hysteresis in traffic flow revisited: an improved measurement method. Transportation Research Part B 2011, 45(2):385-391.
    • (2011) Transportation Research Part B , vol.45 , Issue.2 , pp. 385-391
    • Laval, J.1
  • 52
    • 79953081584 scopus 로고    scopus 로고
    • Various scales for traffic flow representation: some reflections.
    • Delft, The Netherlands
    • Lesort, J.-B., Bourrel, E., Henn, V., 2003. Various scales for traffic flow representation: some reflections. In: Proceedings of Traffic and Granular Flow'03, Delft, The Netherlands, pp. 125-139.
    • (2003) Proceedings of Traffic and Granular Flow'03 , pp. 125-139
    • Lesort, J.-B.1    Bourrel, E.2    Henn, V.3
  • 53
    • 20744454119 scopus 로고    scopus 로고
    • Nonlinear dynamics of traffic jams
    • Li T. Nonlinear dynamics of traffic jams. Physica D: Nonlinear Phenomena 2005, 207(1-2):41-51.
    • (2005) Physica D: Nonlinear Phenomena , vol.207 , Issue.1-2 , pp. 41-51
    • Li, T.1
  • 54
    • 0000090588 scopus 로고
    • On kinematic waves. Part II: A theory of traffic flow on long crowded roads
    • Lighthill M., Whitham G. On kinematic waves. Part II: A theory of traffic flow on long crowded roads. Proceedings of the Royal Society of London 1956, 229(1178):317-345.
    • (1956) Proceedings of the Royal Society of London , vol.229 , Issue.1178 , pp. 317-345
    • Lighthill, M.1    Whitham, G.2
  • 55
    • 79960945856 scopus 로고    scopus 로고
    • Freeway traffic shockwave analysis: exploring NGSIM trajectory data.
    • Washington, DC, January 21-25.
    • Lu, X., Skabardonis, A., 2007. Freeway traffic shockwave analysis: exploring NGSIM trajectory data. In: 86th Transportation Research Board Annual Meeting, Washington, DC, January 21-25.
    • (2007) 86th Transportation Research Board Annual Meeting
    • Lu, X.1    Skabardonis, A.2
  • 56
    • 0003481989 scopus 로고
    • Development and Testing of Dynamic Traffic Assignment and Simulation Procedures for ATIS/ATMS Applications.
    • Center for Transportation Research, University of Texas at Austin.
    • Mahmassani, H., Hu, T., Peeta, S., Ziliaskopoulos, A., 1994. Development and Testing of Dynamic Traffic Assignment and Simulation Procedures for ATIS/ATMS Applications. Tech. rep., Technical Report DTFH61-90-R-0074-FG, Center for Transportation Research, University of Texas at Austin.
    • (1994) Tech. rep., Technical Report DTFH61-90-R-0074-FG
    • Mahmassani, H.1    Hu, T.2    Peeta, S.3    Ziliaskopoulos, A.4
  • 57
    • 0025572909 scopus 로고
    • METANET: a macroscopic simulation program for motorway networks
    • Messner A., Papageorgiou M. METANET: a macroscopic simulation program for motorway networks. Traffic Engineering and Control 1990, 31(8-9):466-470.
    • (1990) Traffic Engineering and Control , vol.31 , Issue.8-9 , pp. 466-470
    • Messner, A.1    Papageorgiou, M.2
  • 61
    • 43949166728 scopus 로고
    • A simplified theory of kinematic waves in highway traffic. Part II: Queueing at freeway bottlenecks
    • Newell G. A simplified theory of kinematic waves in highway traffic. Part II: Queueing at freeway bottlenecks. Transportation Research Part B 1993, 27(4):289-303.
    • (1993) Transportation Research Part B , vol.27 , Issue.4 , pp. 289-303
    • Newell, G.1
  • 62
    • 0036497630 scopus 로고    scopus 로고
    • A simplified car-following theory: a lower order model
    • Newell G. A simplified car-following theory: a lower order model. Transportation Research Part B 2002, 36(3):195-205.
    • (2002) Transportation Research Part B , vol.36 , Issue.3 , pp. 195-205
    • Newell, G.1
  • 63
    • 85029857229 scopus 로고    scopus 로고
    • NGSIM, Next Generation Simulation.
    • NGSIM, 2006. Next Generation Simulation. http://ngsim-community.org/.
    • (2006)
  • 64
    • 0032092830 scopus 로고    scopus 로고
    • Some remarks on macroscopic traffic flow modelling
    • Papageorgiou M. Some remarks on macroscopic traffic flow modelling. Transportation Research Part A 1998, 32(5):323-329.
    • (1998) Transportation Research Part A , vol.32 , Issue.5 , pp. 323-329
    • Papageorgiou, M.1
  • 65
    • 0025570776 scopus 로고
    • Modelling and real-time control of traffic flow on the southern part of Boulevard Peripherique in Paris. Part I: Modelling
    • Papageorgiou M., Blosseville J.-M., Hadj-Salem H. Modelling and real-time control of traffic flow on the southern part of Boulevard Peripherique in Paris. Part I: Modelling. Transportation Research Part A 1990, 24(5):345-359.
    • (1990) Transportation Research Part A , vol.24 , Issue.5 , pp. 345-359
    • Papageorgiou, M.1    Blosseville, J.-M.2    Hadj-Salem, H.3
  • 66
    • 0002957952 scopus 로고
    • Models of freeway traffic and control
    • Payne H. Models of freeway traffic and control. Mathematical Models of Public Systems 1971, 1(1):51-61.
    • (1971) Mathematical Models of Public Systems , vol.1 , Issue.1 , pp. 51-61
    • Payne, H.1
  • 68
    • 0002842180 scopus 로고
    • Shock waves on the highway
    • Richards P. Shock waves on the highway. Operations Research 1956, 4(1):42-51.
    • (1956) Operations Research , vol.4 , Issue.1 , pp. 42-51
    • Richards, P.1
  • 69
    • 85041150744 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • Saffman P. Vortex Dynamics 1992, Cambridge University Press, Cambridge, UK.
    • (1992) Vortex Dynamics
    • Saffman, P.1
  • 70
    • 33750582904 scopus 로고    scopus 로고
    • Weak formulation of boundary conditions for scalar conservation laws: an application to highway traffic modelling
    • Strub I., Bayen A. Weak formulation of boundary conditions for scalar conservation laws: an application to highway traffic modelling. International Journal of Robust Nonlinear Control 2006, 16(16):733-748.
    • (2006) International Journal of Robust Nonlinear Control , vol.16 , Issue.16 , pp. 733-748
    • Strub, I.1    Bayen, A.2
  • 73
    • 11144262651 scopus 로고    scopus 로고
    • Real-time freeway traffic state estimation based on extended Kalman filter: a general approach
    • Wang Y., Papageorgiou M. Real-time freeway traffic state estimation based on extended Kalman filter: a general approach. Transportation Research Part B 2005, 39(2):141-167.
    • (2005) Transportation Research Part B , vol.39 , Issue.2 , pp. 141-167
    • Wang, Y.1    Papageorgiou, M.2
  • 74
    • 36849003408 scopus 로고    scopus 로고
    • Real-time freeway traffic state estimation based on extended Kalman filter: a case study
    • Wang Y., Papageorgiou M., Messmer A. Real-time freeway traffic state estimation based on extended Kalman filter: a case study. Transportation Science 2007, 41(2):167-181.
    • (2007) Transportation Science , vol.41 , Issue.2 , pp. 167-181
    • Wang, Y.1    Papageorgiou, M.2    Messmer, A.3
  • 77
    • 0032599749 scopus 로고    scopus 로고
    • A mathematical theory of traffic hysteresis
    • Zhang H.M. A mathematical theory of traffic hysteresis. Transportation Research Part B 1999, 33(1):1-23.
    • (1999) Transportation Research Part B , vol.33 , Issue.1 , pp. 1-23
    • Zhang, H.M.1
  • 78
    • 0036497648 scopus 로고    scopus 로고
    • A non-equilibrium traffic model devoid of gas-like behavior
    • Zhang H.M. A non-equilibrium traffic model devoid of gas-like behavior. Transportation Research Part B 2002, 36(3):275-290.
    • (2002) Transportation Research Part B , vol.36 , Issue.3 , pp. 275-290
    • Zhang, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.