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Volumn 64, Issue 11, 2003, Pages 1651-1689

Mathematical modeling of traffic flows

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; COMPUTER SIMULATION; FREIGHT TRANSPORTATION; HYDRODYNAMICS; INTELLIGENT VEHICLE HIGHWAY SYSTEMS; LOADING; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; OPTIMIZATION; QUALITY OF SERVICE; RANDOM PROCESSES; SOCIETIES AND INSTITUTIONS; TRAFFIC CONTROL; TRANSPORTATION;

EID: 84904240519     PISSN: 00051179     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1027348026919     Document Type: Article
Times cited : (47)

References (125)
  • 1
    • 0007327908 scopus 로고
    • Contributions to the boltzmann-like approach for traffic flow - A model for concentration dependent driving programs
    • Alberti, E. and Belli, G., Contributions to the Boltzmann-like Approach For Traffic Flow - A Model For Concentration Dependent Driving Programs, Transpn. Res., 1978, vol. 12, pp. 33-42.
    • (1978) Transpn. Res. , vol.12 , pp. 33-42
    • Alberti, E.1    Belli, G.2
  • 2
    • 0001245386 scopus 로고
    • A statistical theory of traffic flow on highways-II. Three-car interactions and the onset of queuing
    • Andrews, F.C., A Statistical Theory of Traffic Flow on Highways-II. Three-Car Interactions and the Onset of Queuing, Transpn. Res., 1970, vol. 4, pp. 367-377.
    • (1970) Transpn. Res. , vol.4 , pp. 367-377
    • Andrews, F.C.1
  • 3
    • 0001407970 scopus 로고    scopus 로고
    • Analysis of optimal velocity model with explicit delay
    • Bando, M., Hasebe, K., Nakanishi, K., and Nakayama, A., Analysis of Optimal Velocity Model With Explicit Delay, Phys. Rev. E, 1998, vol. 58, pp. 5429-5435.
    • (1998) Phys. Rev. E , vol.58 , pp. 5429-5435
    • Bando, M.1    Hasebe, K.2    Nakanishi, K.3    Nakayama, A.4
  • 5
    • 26344440071 scopus 로고
    • Dynamical model of traffic congestion and numerical simulation
    • Bando, M., Hasebe, K., Nakayama, A., Shibata, A., and Sugiyama, Y., Dynamical Model of Traffic Congestion and Numerical Simulation, Phys. Rev. E, 1995, vol. 51, pp. 1035-1042.
    • (1995) Phys. Rev. E , vol.51 , pp. 1035-1042
    • Bando, M.1    Hasebe, K.2    Nakayama, A.3    Shibata, A.4    Sugiyama, Y.5
  • 7
    • 0001334296 scopus 로고
    • Elements of a kinetic theory of traffic flow
    • Campargue, E., Ed., Paris: Commissariat à l'Energie Atomique
    • Beylich, A.E., Elements of a Kinetic Theory of Traffic Flow, in Rarefied Gas Dynamics, Campargue, E., Ed., Paris: Commissariat à l'Energie Atomique, 1979, vol. 1, pp. 129-138.
    • (1979) Rarefied Gas Dynamics , vol.1 , pp. 129-138
    • Beylich, A.E.1
  • 8
    • 85029330416 scopus 로고    scopus 로고
    • Traffic simulation supporting urban control system development
    • Brussels: ITS Congr. Association
    • Bleile, T., Traffic Simulation Supporting Urban Control System Development, Proc. 4th World Congr. Intelligent Transp. Syst., Brussels: ITS Congr. Association, 1997.
    • (1997) Proc. 4th World Congr. Intelligent Transp. Syst.
    • Bleile, T.1
  • 9
    • 0346704368 scopus 로고    scopus 로고
    • Car following: A historical review
    • Brackstone, M. and McDonald, M., Car Following: A Historical Review, Transpn. Res., 2000, vol. 2, pp. 181-196.
    • (2000) Transpn. Res. , vol.2 , pp. 181-196
    • Brackstone, M.1    McDonald, M.2
  • 10
    • 0000945192 scopus 로고
    • Nonconvexity of the dynamic traffic assignment problem
    • Carey, M., Nonconvexity of the Dynamic Traffic Assignment Problem, Transpn. Res., 1992, vol. 26, pp. 127-133.
    • (1992) Transpn. Res. , vol.26 , pp. 127-133
    • Carey, M.1
  • 11
    • 84945611745 scopus 로고
    • An historical review of the gravity and potential concepts of human interaction
    • Carrothers, G.A.P., An Historical Review of the Gravity and Potential Concepts of Human Interaction, J. Am. Inst. Planners, 1956, vol. 22, pp. 94-102.
    • (1956) J. Am. Inst. Planners , vol.22 , pp. 94-102
    • Carrothers, G.A.P.1
  • 12
    • 0000807116 scopus 로고
    • Traffic dynamics: Studies in car following
    • Chandler, R.E., Herman, R., and Montroll, E.W., Traffic Dynamics: Studies in Car Following, Oper. Res., 1958, vol. 6, pp. 165-184.
    • (1958) Oper. Res. , vol.6 , pp. 165-184
    • Chandler, R.E.1    Herman, R.2    Montroll, E.W.3
  • 13
    • 0001405969 scopus 로고    scopus 로고
    • Statistical physics of vehicular traffic and some related systems
    • Chowdhury, D., Santen, L., and Schadschneider, A., Statistical Physics of Vehicular Traffic and Some Related Systems, Phys. Rep., 2000, vol. 329, pp. 199-329.
    • (2000) Phys. Rep. , vol.329 , pp. 199-329
    • Chowdhury, D.1    Santen, L.A.2    Schadschneider, A.3
  • 14
    • 0001327594 scopus 로고
    • Evaluating the friction of distance parameter in gravity models
    • Cliff, A.D., Martin, R.L., and Ord, J.K., Evaluating the Friction of Distance Parameter in Gravity Models, Region. Studies, 1974, vol. 8, pp. 281-286.
    • (1974) Region. Studies , vol.8 , pp. 281-286
    • Cliff, A.D.1    Martin, R.L.2    Ord, J.K.3
  • 15
    • 0000776883 scopus 로고
    • A fast simulation model for traffic flow on the basis of boolean operations
    • Cremer, M. and Ludwig, J., A Fast Simulation Model for Traffic Flow on the Basis of Boolean Operations, Math. Comput. Simul. 1986, vol. 28, pp. 297-303.
    • (1986) Math. Comput. Simul. , vol.28 , pp. 297-303
    • Cremer, M.1    Ludwig, J.2
  • 16
    • 84904242719 scopus 로고
    • Traffic prediction and optimization using an efficient macroscopic simulation tool
    • Pave, A., Ed., Ghent: Soc. Comput. Simul. Int
    • Cremer, M. and Meissner, F., Traffic Prediction and Optimization Using an Efficient Macroscopic Simulation Tool, in Modeling and Simulation, Pave, A., Ed., Ghent: Soc. Comput. Simul. Int., 1993, pp. 515-519.
    • (1993) Modeling and Simulation , pp. 515-519
    • Cremer, M.1    Meissner, F.2
  • 17
    • 0019634733 scopus 로고
    • Parameter identification for a traffic flow model
    • Cremer, M. and Papageorgiou, M., Parameter Identification for a Traffic Flow Model, Automatica, 1981, vol. 17, pp. 837-843.
    • (1981) Automatica , vol.17 , pp. 837-843
    • Cremer, M.1    Papageorgiou, M.2
  • 18
    • 0028481056 scopus 로고
    • The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamical theory
    • Daganzo, C.F., The Cell Transmission Model: A Dynamic Representation of Highway Traffic Consistent with the Hydrodynamical Theory, Transpn. Res. B, 1994, vol. 28, pp. 269-287.
    • (1994) Transpn. Res. B , vol.28 , pp. 269-287
    • Daganzo, C.F.1
  • 19
    • 0028803659 scopus 로고
    • The cell transmission model, part II: Network traffic
    • Daganzo, C.F., The Cell Transmission Model, Part II: Network Traffic, Transpn. Res. B, 1995, vol. 29, pp. 79-93.
    • (1995) Transpn. Res. B , vol.29 , pp. 79-93
    • Daganzo, C.F.1
  • 20
    • 0029416696 scopus 로고
    • A finite difference approximation of the kinematic wave model of traffic flow
    • Daganzo, C.F., A Finite Difference Approximation of the Kinematic Wave Model of Traffic Flow, Transpn. Res. B, 1995, vol. 29, pp. 261-276.
    • (1995) Transpn. Res. B , vol.29 , pp. 261-276
    • Daganzo, C.F.1
  • 21
    • 0029416695 scopus 로고
    • Requiem for second-order fluid approximations of traffic flow
    • Daganzo, C.F., Requiem for Second-order Fluid Approximations of Traffic Flow, Transpn. Res. B, 1995, vol. 29, pp. 277-286.
    • (1995) Transpn. Res. B , vol.29 , pp. 277-286
    • Daganzo, C.F.1
  • 22
    • 0017525664 scopus 로고
    • On stochastic models of traffic assignment
    • Daganzo, C.F. and Sheffi, Y., On Stochastic Models of Traffic Assignment, Transpn. Sci., 1977, vol. 11, pp. 253-274.
    • (1977) Transpn. Sci. , vol.11 , pp. 253-274
    • Daganzo, C.F.1    Sheffi, Y.2
  • 23
    • 0031315489 scopus 로고    scopus 로고
    • Microscopic simulation of urban traffic based on cellular automata
    • Esser, J. and Schreckenberg, M., Microscopic Simulation of Urban Traffic Based on Cellular Automata, Int. J. Mod. Phys. C, 1997, vol. 8, pp. 1025-1036.
    • (1997) Int. J. Mod. Phys. C , vol.8 , pp. 1025-1036
    • Esser, J.1    Schreckenberg, M.2
  • 24
    • 0024157493 scopus 로고
    • Hierarchical interaction: The modeling of competing central place system
    • Fik, T.J., Hierarchical Interaction: The Modeling of Competing Central Place System, The Ann. Reg. Sci., 1988, vol. 22, pp. 48-69.
    • (1988) The Ann. Reg. Sci. , vol.22 , pp. 48-69
    • Fik, T.J.1
  • 25
    • 0025036510 scopus 로고
    • Spatial flows and competing central places: Towards a general theory of hierarchical interaction
    • Fik, T.J. and Mulligan, G.F., Spatial Flows and Competing Central Places: Towards a General Theory of Hierarchical Interaction, Envir. Plan. A, 1990, vol. 22, pp. 527-549.
    • (1990) Envir. Plan. A , vol.22 , pp. 527-549
    • Fik, T.J.1    Mulligan, G.F.2
  • 26
    • 0017494525 scopus 로고
    • A traffic equilibrium model of travel by car and public transit modes
    • Florian, M., A Traffic Equilibrium Model of Travel by Car and Public Transit Modes, Transpn. Sci., 1977, vol. 11, pp. 166-179.
    • (1977) Transpn. Sci. , vol.11 , pp. 166-179
    • Florian, M.1
  • 27
    • 0020687966 scopus 로고
    • A new set of spacial-interaction models: The theory of competing destinations
    • Fotheringham, A.S., A New Set of Spacial-Interaction Models: The Theory of Competing Destinations, Envir. Plan. A, 1983, vol. 15, pp. 15-36.
    • (1983) Envir. Plan. A , vol.15 , pp. 15-36
    • Fotheringham, A.S.1
  • 28
    • 0022906165 scopus 로고
    • Modeling hierarchical destination choice
    • Fotheringham, A.S., Modeling Hierarchical Destination Choice, Envir. Plan. A, 1986, vol. 18, pp. 401-418.
    • (1986) Envir. Plan. A , vol.18 , pp. 401-418
    • Fotheringham, A.S.1
  • 29
    • 0001971618 scopus 로고
    • An algorithm for quadratic programming
    • Frank, M. and Wolfe, P., An Algorithm for Quadratic Programming, Nav. Res. Log. Q., 1956, vol. 3, pp. 95-110.
    • (1956) Nav. Res. Log. Q. , vol.3 , pp. 95-110
    • Frank, M.1    Wolfe, P.2
  • 30
    • 0024772092 scopus 로고
    • Dynamic network traffic assignment considered as a continuous time optimal control problem
    • Friesz, T.L., Luque, F.J., Tobin, R.L., and Wie, B.W., Dynamic Network Traffic Assignment Considered as a Continuous Time Optimal Control Problem, Oper. Res., 1989, vol. 37, pp. 893-901.
    • (1989) Oper. Res. , vol.37 , pp. 893-901
    • Friesz, T.L.1    Luque, F.J.2    Tobin, R.L.3    Wie, B.W.4
  • 31
    • 0019011138 scopus 로고
    • Optimal traffic assignment with elastic demands: A review; part II: Algorithmic approaches
    • Gartner, N.H., Optimal Traffic Assignment with Elastic Demands: A Review; Part II: Algorithmic Approaches, Transpn. Sci., 1980, vol. 14, pp. 192-208.
    • (1980) Transpn. Sci. , vol.14 , pp. 192-208
    • Gartner, N.H.1
  • 33
    • 0000876232 scopus 로고
    • Nonlinear follow the leader models of traffic flow
    • Gazis, D.C., Herman, R., and Rothery, R.W., Nonlinear Follow the Leader Models of Traffic Flow, Oper. Res., 1961, vol. 9, pp. 545-567.
    • (1961) Oper. Res. , vol.9 , pp. 545-567
    • Gazis, D.C.1    Herman, R.2    Rothery, R.W.3
  • 34
    • 0019558539 scopus 로고
    • A behavioural car following model for computer simulation
    • Gipps, P.G., A Behavioural Car Following Model for Computer Simulation, Transpn. Res. B, 1981, vol. 15, pp. 105-111.
    • (1981) Transpn. Res. B , vol.15 , pp. 105-111
    • Gipps, P.G.1
  • 35
    • 0027728227 scopus 로고
    • The development of a new gravity-opportunity model for trip distribution
    • Gonçalves, M.B. and Ulysséa-Neto, I., The Development of a New Gravity-Opportunity Model for Trip Distribution, Envir. Plan. A, 1993, vol. 25, pp. 817-826.
    • (1993) Envir. Plan. A , vol.25 , pp. 817-826
    • Gonçalves, M.B.1    Ulysséa-Neto, I.2
  • 36
    • 0000146737 scopus 로고
    • Equilibrium values and dynamics of attractiveness terms in production-constrained spatial-interaction models
    • Harris, B. and Wilson, A. G., Equilibrium Values and Dynamics of Attractiveness Terms in Production-constrained Spatial-interaction Models, Envir. Plan. A, 1978, vol. 10, pp. 371-388.
    • (1978) Envir. Plan. A , vol.10 , pp. 371-388
    • Harris, B.1    Wilson, A.G.2
  • 38
    • 0001727191 scopus 로고
    • High-fidelity macroscopic traffic equations
    • Helbing, D., High-fidelity Macroscopic Traffic Equations, Physica A, 1995, vol. 219, pp. 391-407.
    • (1995) Physica A , vol.219 , pp. 391-407
    • Helbing, D.1
  • 39
    • 5544220530 scopus 로고
    • Improved fluid-dynamic model for vehicular traffic
    • Helbing, D., Improved Fluid-Dynamic Model For Vehicular Traffic, Phys. Rev. E, 1995, vol. 51, pp. 3164-3169.
    • (1995) Phys. Rev. E , vol.51 , pp. 3164-3169
    • Helbing, D.1
  • 40
    • 0030290084 scopus 로고    scopus 로고
    • Derivation and empirical validation of a refined traffic flow model
    • Helbing, D., Derivation and Empirical Validation of a Refined Traffic Flow Model, Physica A, 1996, vol. 233, pp. 253-282. pp. 253-282.
    • (1996) Physica A , vol.233 , pp. 253-282
    • Helbing, D.1
  • 41
    • 3643096762 scopus 로고    scopus 로고
    • Gas-kinetic derivation of navier-stokes-like traffic equations
    • Helbing, D., Gas-kinetic Derivation of Navier-STokes-Like Traffic Equations, Phys. Rev. E, 1996, vol. 53, pp. 2366-2381.
    • (1996) Phys. Rev. E , vol.53 , pp. 2366-2381
    • Helbing, D.1
  • 43
    • 0034746797 scopus 로고    scopus 로고
    • MASTER: Macroscopic traffic simulation based on a gas-kinetic, non-local traffic model
    • Helbing, D., Hennecke, A., Shvetsov, V., and Treiber, M., MASTER: Macroscopic Traffic Simulation Based on a Gas-Kinetic, Non-Local Traffic Model, Transpn. Res. B, 2001, vol. 35, pp. 183-211.
    • (2001) Transpn. Res. B , vol.35 , pp. 183-211
    • Helbing, D.1    Hennecke, A.2    Shvetsov, V.3    Treiber, M.4
  • 44
    • 84888807964 scopus 로고    scopus 로고
    • Phase diagram of traffic states in the presence of inhomogeneities
    • Helbing, D., Hennecke, A., and Treiber, M., Phase Diagram of Traffic States in the Presence of Inhomogeneities, Phys. Rev. Lett., 1999, vol. 82, pp. 4360-4363.
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 4360-4363
    • Helbing, D.1    Hennecke, A.2    Treiber, M.3
  • 45
    • 0000217715 scopus 로고    scopus 로고
    • Generalized force model of traffic dynamics
    • Helbing, D. and Tilch, B., Generalized Force Model of Traffic Dynamics, Phys. Rev. E, 1998, vol. 58, pp. 133-138.
    • (1998) Phys. Rev. E , vol.58 , pp. 133-138
    • Helbing, D.1    Tilch, B.2
  • 46
    • 0032391574 scopus 로고    scopus 로고
    • Enskog equations for traffic flow evaluated up to navier-stokes order
    • Helbing, D. and Treiber, M., Enskog Equations for Traffic Flow Evaluated up to Navier-Stokes Order, Gran. Matt., 1998, vol. 1, pp. 21-31.
    • (1998) Gran. Matt. , vol.1 , pp. 21-31
    • Helbing, D.1    Treiber, M.2
  • 47
    • 0001462770 scopus 로고    scopus 로고
    • Gas-kinetic-based traffic model explaining observed hysteretic phase transition
    • Helbing, D. and Treiber, M., Gas-kinetic-based Traffic Model Explaining Observed Hysteretic Phase Transition, Phys. Rev. Lett., 1998, vol. 81, pp. 3042-3045.
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 3042-3045
    • Helbing, D.1    Treiber, M.2
  • 49
    • 0033225884 scopus 로고    scopus 로고
    • Gas-kinetic model for multi-lane heterogeneous traffic flow
    • Hoogendoorn, S. and Bovy, P.H.L., Gas-kinetic Model for Multi-Lane Heterogeneous Traffic Flow, Transpn. Res. Rec., 1999, vol. 1678, pp. 150-159.
    • (1999) Transpn. Res. Rec. , vol.1678 , pp. 150-159
    • Hoogendoorn, S.1    Bovy, P.H.L.2
  • 50
    • 0026072854 scopus 로고
    • Dynamic traffic assignment for urban road networks
    • Janson, B.N., Dynamic Traffic Assignment for Urban Road Networks, Transpn. Res. B, 1991, vol. 25, pp. 143-161.
    • (1991) Transpn. Res. B , vol.25 , pp. 143-161
    • Janson, B.N.1
  • 51
    • 0028784213 scopus 로고
    • A dynamic traffic assignment model with traffic-flow relationships
    • Jayakrishnan, R., Tsai Wei K., and Chen, A., A Dynamic Traffic Assignment Model with Traffic-Flow Relationships, Transpn. Res. C, 1995, vol. 3, pp. 51-72.
    • (1995) Transpn. Res. C , vol.3 , pp. 51-72
    • Jayakrishnan, R.1    Tsai, W.K.2    Chen, A.3
  • 52
    • 35949005957 scopus 로고
    • Cluster effect in initially homogeneous traffic flow
    • Kerner, B.S. and Konhäuser, P., Cluster Effect in Initially Homogeneous Traffic Flow, Phys. Rev. E, 1993. vol. 48, pp. R2335-R2338.
    • (1993) Phys. Rev. E , vol.48
    • Kerner, B.S.1    Konhäuser, P.2
  • 53
    • 0002562202 scopus 로고
    • Structure and parameters of clusters in traffic flow
    • Kerner, B.S. and Konhäuser, P., Structure and Parameters of Clusters in Traffic Flow, Phys. Rev. E, 1994. vol. 50, pp. 54-83.
    • (1994) Phys. Rev. E , vol.50 , pp. 54-83
    • Kerner, B.S.1    Konhäuser, P.2
  • 54
    • 11744273781 scopus 로고
    • Deterministic spontaneous appearance of traffic congestions in slightly inhomogeneous traffic flow
    • Kerner, B.S., Konhäuser, P., and Schilke, M., Deterministic Spontaneous Appearance of Traffic Congestions in Slightly Inhomogeneous Traffic Flow, Phys. Rev. E, 1995, vol. 51, pp. R6243-R6246.
    • (1995) Phys. Rev. E , vol.51
    • Kerner, B.S.1    Konhäuser, P.2    Schilke, M.3
  • 55
    • 0007335993 scopus 로고
    • Formation of traffic jams caused by fluctuations and random processes in traffic flow
    • Hensher, D., Ed., Oxford: Pergamon
    • Kerner, B.S., Konhäuser, P., and Schilke, M., Formation of Traffic Jams Caused by Fluctuations and Random Processes in Traffic Flow, in Proc. 7th World Conf. Transp. Res., Hensher, D., Ed., Oxford: Pergamon, 1995, vol. 2, pp. 167-182.
    • (1995) Proc. 7th World Conf. Transp. Res. , vol.2 , pp. 167-182
    • Kerner, B.S.1    Konhäuser, P.2    Schilke, M.3
  • 56
    • 0002085482 scopus 로고    scopus 로고
    • 'Dipole-layer' effect in dense traffic flow
    • Kerner, B.S., Konhäuser, P., and Schilke, M., 'Dipole-layer' Effect in Dense Traffic Flow, Phys. Lett. A, 1996, vol. 215, pp. 45-56.
    • (1996) Phys. Lett. A , vol.215 , pp. 45-56
    • Kerner, B.S.1    Konhäuser, P.2    Schilke, M.3
  • 57
    • 0031116106 scopus 로고    scopus 로고
    • Enskog-like kinetic models for vehicular traffic
    • Klar, A. and Wegener, R., Enskog-like Kinetic Models for Vehicular Traffic, J. Stat. Phys., 1997, vol. 87, pp. 91-114.
    • (1997) J. Stat. Phys. , vol.87 , pp. 91-114
    • Klar, A.1    Wegener, R.2
  • 58
    • 0001690236 scopus 로고    scopus 로고
    • Continuous limit of the nagel-schreckenberg model
    • Krauss, S., Wagner, P., and Gawron, C., Continuous Limit of the Nagel-Schreckenberg Model, Phys. Rev. E, 1996, vol. 54, pp. 3707-3712.
    • (1996) Phys. Rev. E , vol.54 , pp. 3707-3712
    • Krauss, S.1    Wagner, P.2    Gawron, C.3
  • 59
    • 4243917628 scopus 로고    scopus 로고
    • Metastable states in a microscopic model of traffic flow
    • Krauss, S., Wagner, P., and Gawron, C., Metastable States in a Microscopic Model of Traffic Flow, Phys. Rev. E, 1997, vol. 55, pp. 5597-5602.
    • (1997) Phys. Rev. E , vol.55 , pp. 5597-5602
    • Krauss, S.1    Wagner, P.2    Gawron, C.3
  • 60
    • 0001899093 scopus 로고
    • Macroscopic freeway model for dense traffic - STop-start waves and incident detection
    • Hamerslag, R., Ed., Utrecht: VNU Science
    • Kühne, R.D., Macroscopic Freeway Model for Dense Traffic - STop-Start Waves and Incident Detection, in Proc. 9th Int. Sympos. Transp. and Traffic Theory, Hamerslag, R., Ed., Utrecht: VNU Science, 1984, pp. 21-42.
    • (1984) Proc. 9th Int. Sympos. Transp. and Traffic Theory , pp. 21-42
    • Kühne, R.D.1
  • 61
    • 0002051795 scopus 로고
    • Freeway speed distribution and acceleration noise-calculations from a stochastic continuum theory and comparison with measurements
    • Gartner, N.H., Ed., New York: Elsevier
    • Kühne, R.D., Freeway Speed Distribution and Acceleration Noise-Calculations from a Stochastic Continuum Theory and Comparison with Measurements, in Proc. 10th Int. Sympos. on Trans. and Traffic Theory, Gartner, N.H., Ed., New York: Elsevier, 1987, pp. 119-137.
    • (1987) Proc. 10th Int. Sympos. on Trans. and Traffic Theory , pp. 119-137
    • Kühne, R.D.1
  • 62
    • 0007196269 scopus 로고
    • Knowledge-based optimization of line control systems for freeways
    • San Buenaventura, California, June 20-24
    • Kühne, R.D. and Kroen, A., Knowledge-based Optimization of Line Control Systems for Freeways, Int. Conf. Artificial Intelligence Appl. Transp. Engineering, San Buenaventura, California, June 20-24, 1992, pp. 173-192.
    • (1992) Int. Conf. Artificial Intelligence Appl. Transp. Engineering , pp. 173-192
    • Kühne, R.D.1    Kroen, A.2
  • 63
    • 0026384712 scopus 로고
    • Macroscopic simulation model for freeway traffic with congestions and stop-start waves
    • Nelson, B.L., Ed., Phoenix: Society for Comput. Simul. Int
    • Kühne, R.D. and Rödiger, M.B., Macroscopic Simulation Model for Freeway Traffic with Congestions and Stop-Start Waves, in Proc. 1991 Winter Simulation Conf., Nelson, B.L., Ed., Phoenix: Society for Comput. Simul. Int., 1991, pp. 762-770.
    • (1991) Proc. 1991 Winter Simulation Conf. , pp. 762-770
    • Kühne, R.D.1    Rödiger, M.B.2
  • 64
    • 0017931451 scopus 로고
    • On the kinetic theory of traffic flow in the case of a nonnegligible number of queueing vehicles
    • Lampis, M., On the Kinetic Theory of Traffic Flow in the Case of a Nonnegligible Number of Queueing Vehicles, Transpn. Sci., 1978, vol. 12, pp. 16-28.
    • (1978) Transpn. Sci. , vol.12 , pp. 16-28
    • Lampis, M.1
  • 65
    • 0016565756 scopus 로고
    • An efficient approach to solving the road network equilibrium traffic assignment problem
    • LeBlanc, L.J., Morlok, E.K., and Pierskalla, W., An Efficient Approach to Solving the Road Network Equilibrium Traffic Assignment Problem, Transpn. Res. B, 1975, vol. 9, pp. 309-318.
    • (1975) Transpn. Res. B , vol.9 , pp. 309-318
    • Leblanc, L.J.1    Morlok, E.K.2    Pierskalla, W.3
  • 66
    • 0000090588 scopus 로고
    • On kinematic waves: II. A theory of traffic on long crowded roads
    • Lighthill, M.J. and Whitham, G.B., On Kinematic Waves: II. A Theory of Traffic on Long Crowded Roads, Proc. Roy. Soc. London, Ser. A, 1955, vol. 229, pp. 317-345.
    • (1955) Proc. Roy. Soc. London, Ser. A , vol.229 , pp. 317-345
    • Lighthill, M.J.1    Whitham, G.B.2
  • 67
    • 0031284791 scopus 로고    scopus 로고
    • A probit-based stochastic user equilibrium assignment model
    • Maher, M.J. and Hughes, P.C., A Probit-based Stochastic User Equilibrium Assignment Model, Transpn. Res. B, 1997, vol. 31, pp. 341-355.
    • (1997) Transpn. Res. B , vol.31 , pp. 341-355
    • Maher, M.J.1    Hughes, P.C.2
  • 68
    • 0001773404 scopus 로고
    • Non-integer car-following models
    • May, A.D., Jr., and Keller, H.E.M., Non-integer Car-following Models, Highway Res. Rec., 1967, vol. 199, pp. 19-32.
    • (1967) Highway Res. Rec. , vol.199 , pp. 19-32
    • May Jr., A.D.1    Keller, H.E.M.2
  • 69
    • 43949174613 scopus 로고
    • Deterministic models for traffic jams
    • Nagel, K. and Herrmann, H.J., Deterministic Models for Traffic Jams, Physica A, 1993, vol. 199, pp. 254-269.
    • (1993) Physica A , vol.199 , pp. 254-269
    • Nagel, K.1    Herrmann, H.J.2
  • 70
    • 0001232636 scopus 로고
    • A cellular automaton model for freeway traffic
    • Nagel, K. and Schreckenberg, M., A Cellular Automaton Model for Freeway Traffic, J. Phys. I France, 1992, vol. 2, pp. 2221-2229.
    • (1992) J. Phys. I France , vol.2 , pp. 2221-2229
    • Nagel, K.1    Schreckenberg, M.2
  • 71
    • 21844517333 scopus 로고
    • A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions
    • Nelson, P., A Kinetic Model of Vehicular Traffic and Its Associated Bimodal Equilibrium Solutions, Transp. Theor. Stat. Phys., 1995, vol. 24, pp. 383-409.
    • (1995) Transp. Theor. Stat. Phys. , vol.24 , pp. 383-409
    • Nelson, P.1
  • 72
    • 0000826410 scopus 로고
    • Nonlinear effects in the dynamics of car following
    • Newell, G.F., Nonlinear Effects in the Dynamics of Car Following, Oper. Res., 1961, vol. 9, pp. 209-229.
    • (1961) Oper. Res. , vol.9 , pp. 209-229
    • Newell, G.F.1
  • 73
    • 0000071885 scopus 로고
    • A simplified theory of kinematic waves in highway traffic, I general theory, II queueing at freeway bottlenecks, III multi-destination flows
    • Newell, G.F., A Simplified Theory of Kinematic Waves in Highway Traffic, I General Theory, II Queueing at Freeway Bottlenecks, III Multi-destination Flows, Transpn. Res. B, 1993, vol. 27, pp. 281-313.
    • (1993) Transpn. Res. B , vol.27 , pp. 281-313
    • Newell, G.F.1
  • 75
    • 34250423432 scopus 로고
    • Implementation and efficiency of MOor-algorithms for the shortest route problem
    • Pape, U., Implementation and Efficiency of MOor-Algorithms for the Shortest Route Problem, Math. Program., 1974, vol. 7, pp. 212-222.
    • (1974) Math. Program. , vol.7 , pp. 212-222
    • Pape, U.1
  • 76
    • 0016543519 scopus 로고
    • On boltzmann-like treatments for traffic flow. A critical review of the basic model and an alternative proposal for dilute traffic analysis
    • Paveri-Fontana, S.L., On Boltzmann-like Treatments for Traffic Flow. A Critical Review of the Basic Model and an Alternative Proposal for Dilute Traffic Analysis, Transpn. Res., 1975, vol. 9, pp. 225-235.
    • (1975) Transpn. Res. , vol.9 , pp. 225-235
    • Paveri-Fontana, S.L.1
  • 77
    • 0002957952 scopus 로고
    • Models of freeway traffic and control
    • Bekey, G.A., Ed., La Jolla: Simulation Council
    • Payne, H.J., Models of Freeway Traffic and Control, in Mathematical Models of Public Systems, Bekey, G.A., Ed., La Jolla: Simulation Council, 1971, vol. 1, pp. 51-61.
    • (1971) Mathematical Models of Public Systems , vol.1 , pp. 51-61
    • Payne, H.J.1
  • 78
    • 0018321854 scopus 로고
    • A critical review of a macroscopic freeway model
    • Levine, W.S., Ed., New York: Am. Soc. of Civil Engineers
    • Payne, H.J., A Critical Review of a Macroscopic Freeway Model, in Research Directions in Computer Control of Urban Traffic Systems, Levine, W.S., Ed., New York: Am. Soc. of Civil Engineers, 1979, pp. 251-265.
    • (1979) Research Directions in Computer Control of Urban Traffic Systems , pp. 251-265
    • Payne, H.J.1
  • 79
    • 0018708437 scopus 로고
    • FREFLO: A macroscopic simulation model of freeway traffic
    • Payne, H.J., FREFLO: A Macroscopic Simulation Model of Freeway Traffic, Transpn. Res. Rec., 1979, vol. 722, pp. 68-77.
    • (1979) Transpn. Res. Rec. , vol.722 , pp. 68-77
    • Payne, H.J.1
  • 80
    • 0018320049 scopus 로고
    • A kinetic model for traffic flow with continuum implications
    • Phillips, W.F., A Kinetic Model for Traffic Flow with Continuum Implications, Transpn. Plan. Technol., 1979, vol. 5, pp. 131-138.
    • (1979) Transpn. Plan. Technol. , vol.5 , pp. 131-138
    • Phillips, W.F.1
  • 81
    • 0000249679 scopus 로고
    • A new continuum traffic model obtained from kinetic theory
    • New York: IEEE
    • Phillips, W.F., A New Continuum Traffic Model Obtained from Kinetic Theory, Proc. 1978 IEEE Conf. Decision and Control, New York: IEEE, 1979, pp. 1032-1036.
    • (1979) Proc. 1978 IEEE Conf. Decision and Control , pp. 1032-1036
    • Phillips, W.F.1
  • 82
    • 36849121602 scopus 로고
    • An operational analysis of traffic dynamics
    • Pipes L.A., An Operational Analysis of Traffic Dynamics, J. Appl. Phys., 1953, vol. 24, pp. 274-281.
    • (1953) J. Appl. Phys. , vol.24 , pp. 274-281
    • Pipes, L.A.1
  • 84
    • 0020091589 scopus 로고
    • The convergence of equilibrium algorithms with predetermined step sizes
    • Powell, W.B. and Sheffy, Y., The Convergence of Equilibrium Algorithms with Predetermined Step Sizes, Transpn. Sci., 1982, vol. 16, pp. 45-55.
    • (1982) Transpn. Sci. , vol.16 , pp. 45-55
    • Powell, W.B.1    Sheffy, Y.2
  • 85
    • 0002602659 scopus 로고
    • A boltzmann-like approach to the statistical theory of traffic flow
    • Herman, R., Ed., Amsterdam: Elsevier
    • Prigogine, I., A Boltzmann-like Approach to the Statistical Theory of Traffic Flow, in Theory of Traffic Flow, Herman, R., Ed., Amsterdam: Elsevier, 1961.
    • (1961) Theory of Traffic Flow
    • Prigogine, I.1
  • 86
    • 0000959304 scopus 로고
    • A boltzmann-like approach for traffic flow
    • Prigogine, I. and Andrews, F.C., A Boltzmann-like Approach for Traffic Flow, Oper. Res., 1960, vol. 8, pp. 789-797.
    • (1960) Oper. Res. , vol.8 , pp. 789-797
    • Prigogine, I.1    Andrews, F.C.2
  • 88
    • 0023598768 scopus 로고
    • Enhanced FREFLO: Modeling of congested environments
    • Rathi, A.K., Lieberman, E.B., and Yedlin, M., Enhanced FREFLO: Modeling of Congested Environments, Transpn. Res. Rec., 1987, vol. 1112, pp. 61-71.
    • (1987) Transpn. Res. Rec. , vol.1112 , pp. 61-71
    • Rathi, A.K.1    Lieberman, E.B.2    Yedlin, M.3
  • 89
    • 0000857191 scopus 로고
    • Fahrzeugbewegungen in der Kolonne
    • Reuschel, A., Fahrzeugbewegungen in der Kolonne, Osterr. Ingen.-Archiv., 1950, vol. 4, pp. 193-215.
    • (1950) Osterr. Ingen.-archiv. , vol.4 , pp. 193-215
    • Reuschel, A.1
  • 90
    • 0022829401 scopus 로고
    • Maximum likelihood estimation of gravity model parameters
    • Sen, A., Maximum Likelihood Estimation of Gravity Model Parameters, J. Regional Sci., 1986, vol. 26, pp. 461-474.
    • (1986) J. Regional Sci. , vol.26 , pp. 461-474
    • Sen, A.1
  • 92
    • 0020140779 scopus 로고
    • An algorithm for the equilibrium assignment problem with random link times
    • Sheffy, Y. and Powell, W.B., An Algorithm for the Equilibrium Assignment Problem with Random Link Times, Network, 1982, vol. 12, pp. 191-207:
    • (1982) Network , vol.12 , pp. 191-207
    • Sheffy, Y.1    Powell, W.B.2
  • 93
    • 0018704582 scopus 로고
    • Gravity parameter estimation
    • Sheppard, E.S., Gravity Parameter Estimation, Geographical Anal., 1979, vol. 11, pp. 120-132.
    • (1979) Geographical Anal. , vol.11 , pp. 120-132
    • Sheppard, E.S.1
  • 94
    • 0031469212 scopus 로고    scopus 로고
    • Expected distributions in the intervening opportunities model
    • Shvetsov, V.I. and Dubov, Yu.A., Expected Distributions in the Intervening Opportunities Model, Envir. Plan. A, 1997, vol. 29, pp. 1229-1241.
    • (1997) Envir. Plan. A , vol.29 , pp. 1229-1241
    • Shvetsov, V.I.1    Dubov, Yu.A.2
  • 95
    • 0000896389 scopus 로고    scopus 로고
    • Macroscopic dynamics of multilane traffic
    • Shvetsov, V.I. and Helbing, D., Macroscopic Dynamics of Multilane Traffic, Phys. Rev. E, 1999, vol. 59, pp. 6328-6339.
    • (1999) Phys. Rev. E , vol.59 , pp. 6328-6339
    • Shvetsov, V.I.1    Helbing, D.2
  • 97
    • 0024650417 scopus 로고
    • Optimal strategies: A new assignment model for transit networks
    • Spiess, H. and Florian, M., Optimal Strategies: A New Assignment Model for Transit Networks, Transpn. Res. B, 1989, vol. 23, pp. 83-102.
    • (1989) Transpn. Res. B , vol.23 , pp. 83-102
    • Spiess, H.1    Florian, M.2
  • 98
    • 0001711460 scopus 로고
    • Intervening opportunities: A theory relating mobility and distance
    • Stouffer, S.A., Intervening Opportunities: A Theory Relating Mobility and Distance, Am. Sociolog. Rev., 1940, vol. 5, pp. 845-867.
    • (1940) Am. Sociolog. Rev. , vol.5 , pp. 845-867
    • Stouffer, S.A.1
  • 99
    • 0001352126 scopus 로고    scopus 로고
    • Presence of many stable nonhomogeneous states in an inertial car-following model
    • Tomer, E., Safonov, L., and Havlin, S., Presence of Many Stable Nonhomogeneous States in an Inertial Car-Following Model, Phys. Rev. Lett., 2000, vol. 84, pp. 382-385.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 382-385
    • Tomer, E.1    Safonov, L.2    Havlin, S.3
  • 101
    • 0034239164 scopus 로고    scopus 로고
    • Congested traffic states in empirical observations and microscopic simulations
    • Treiber, M., Hennecke, A., and Helbing, D., Congested Traffic States in Empirical Observations and Microscopic Simulations, Phys. Rev. E, 2000, vol. 62, pp. 1805-1824.
    • (2000) Phys. Rev. E , vol.62 , pp. 1805-1824
    • Treiber, M.1    Hennecke, A.2    Helbing, D.3
  • 103
    • 0031249531 scopus 로고    scopus 로고
    • A navier-stokes-like traffic model
    • Wagner, C., A Navier-Stokes-like Traffic Model, Physica A, 1997, vol. 245, pp. 124-138.
    • (1997) Physica A , vol.245 , pp. 124-138
    • Wagner, C.1
  • 105
    • 0001589697 scopus 로고    scopus 로고
    • Analytical results for the steady state of traffic flow models with stochastic delay
    • Wang, B.-H., Wang, L., Hui, P. M., and Hu, B., Analytical Results for the Steady State of Traffic Flow Models with Stochastic Delay, Phys. Rev. E, 1998, vol. 58, pp. 2876-2882.
    • (1998) Phys. Rev. E , vol.58 , pp. 2876-2882
    • Wang, B.-H.1    Wang, L.2    Hui, P.M.3    Hu, B.4
  • 106
    • 0003310913 scopus 로고
    • Some theoretical aspects of road traffic research
    • Wardrop, J.G., Some Theoretical Aspects of Road Traffic Research, Proc. Inst. Civil Engineers II, 1952, pp. 325-378.
    • (1952) Proc. Inst. Civil Engineers II , pp. 325-378
    • Wardrop, J.G.1
  • 107
    • 0030371120 scopus 로고    scopus 로고
    • A kinetic model for vehicular traffic derived from a stochastic microscopic model
    • Wegener, R. and Klar, A., A Kinetic Model for Vehicular Traffic Derived from a Stochastic Microscopic Model, Transp. Theor. Stat. Phys., 1996, vol. 25, pp. 785-798.
    • (1996) Transp. Theor. Stat. Phys. , vol.25 , pp. 785-798
    • Wegener, R.1    Klar, A.2
  • 110
    • 0022829077 scopus 로고
    • A flexible gravity-opportunities model for trip distribution
    • Wills, M.J., A Flexible Gravity-opportunities Model for Trip Distribution, Transpn. Res. B, 1986, vol. 20, pp. 89-111.
    • (1986) Transpn. Res. B , vol.20 , pp. 89-111
    • Wills, M.J.1
  • 111
    • 0002353295 scopus 로고
    • A statistical theory of spatial distribution models
    • Wilson, A.G., A Statistical Theory of Spatial Distribution Models, Transpn. Res., 1967, vol. 1, pp. 253-270.
    • (1967) Transpn. Res. , vol.1 , pp. 253-270
    • Wilson, A.G.1
  • 113
    • 0002780794 scopus 로고
    • A family of spatial interaction models and associated developments
    • Wilson, A.G., A Family of Spatial Interaction Models and Associated Developments, Envir. Plan. A, 1971, vol. 3, pp. 255-282.
    • (1971) Envir. Plan. A , vol.3 , pp. 255-282
    • Wilson, A.G.1
  • 114
    • 85029315383 scopus 로고
    • Economic algorithm to determine the shortest paths in network
    • (Transport Systems), Moscow: VNIISI
    • Dinits, E.A., Economic Algorithm to Determine the Shortest Paths in Network, in Transportnye sistemy (Transport Systems), Moscow: VNIISI, 1978.
    • (1978) Transportnye Sistemy
    • Dinits, E.A.1
  • 115
    • 84904244054 scopus 로고
    • A mathematical model for random-deterministic choice and its use for calculating the labor correspondences
    • (Computer-aided Urban Planning), Moscow: TSNIIP
    • Livshits, V.V., A Mathematical Model for Random-deterministic Choice and Its Use for Calculating the Labor Correspondences, in Avtomatizatsiya protsessov gradostroitel'nogo proektirovaniya (Computer-aided Urban Planning), Moscow: TSNIIP 1973.
    • (1973) Avtomatizatsiya Protsessov Gradostroitel'nogo Proektirovaniya
    • Livshits, V.V.1
  • 116
    • 84904244055 scopus 로고
    • Urban system concentration and mathematical modeling of adaptive behavior of the urban population
    • (Using Applied System Analysis in Design and Management of Urban Development), Moscow: Stroiizdat
    • Livshits, V.V., Urban System Concentration and Mathematical Modeling of Adaptive Behavior of the Urban Population, in Ispol'zovanie prikladnogo sistemnogo analiza v proektirovanii i upravlenii razvitiem gorodov (Using Applied System Analysis in Design and Management of Urban Development), Moscow: Stroiizdat, 1974.
    • (1974) Ispol'zovanie Prikladnogo Sistemnogo Analiza v Proektirovanii i Upravlenii Razvitiem Gorodov
    • Livshits, V.V.1
  • 118
    • 85019583369 scopus 로고
    • (Computer-aided Planning and Control of Transport Systems), Livshits, V.N., Ed., Moscow: Transport
    • Avtomatizatsiya planirovaniya i upravleniya transportnymi sistemami (Computer-aided Planning and Control of Transport Systems), Livshits, V.N., Ed., Moscow: Transport, 1987.
    • (1987) Avtomatizatsiya Planirovaniya i Upravleniya Transportnymi Sistemami
  • 123
    • 85029288186 scopus 로고
    • Translated under the title Moscow: Transport
    • Steenbrink, P.A., Optimization of Transport Networks, New York: Wiley, 1974. Translated under the title Optimizatsiya transportnykh setei, Moscow: Transport, 1981.
    • (1981) Optimizatsiya Transportnykh Setei
  • 124
    • 85029306085 scopus 로고
    • Mathematical model of formation of passenger flows
    • Fedorov, V.P., Mathematical Model of Formation of Passenger Flows, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1974, no. 4, pp. 17-26.
    • (1974) Izv. Akad. Nauk SSSR, Tekh. Kibern. , vol.4 , pp. 17-26
    • Fedorov, V.P.1


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