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Volumn 50, Issue 7-8, 2009, Pages 1107-1112

On the derivation of the velocity and fundamental traffic flow diagram from the modelling of the vehicle-driver behaviors

Author keywords

Equilibrium flow; Kinetic theory; Nonlinearity; Traffic flow

Indexed keywords

BRAKING DISTANCE; DRIVER BEHAVIOR; ENVIRONMENTAL CONDITIONS; EQUILIBRIUM FLOW; FUNDAMENTAL DIAGRAM; NONLINEARITY; TRAFFIC FLOW;

EID: 69249218993     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2009.06.004     Document Type: Article
Times cited : (9)

References (25)
  • 1
    • 0036131426 scopus 로고    scopus 로고
    • From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
    • Bellomo N., Marasco A., and Romano A. From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow. Nonlinear Anal. RWA 3 (2002) 339-363
    • (2002) Nonlinear Anal. RWA , vol.3 , pp. 339-363
    • Bellomo, N.1    Marasco, A.2    Romano, A.3
  • 2
    • 0035470907 scopus 로고    scopus 로고
    • Traffic and related self-driven many-particle systems
    • Helbing D. Traffic and related self-driven many-particle systems. Rev. Modern Phys. 73 (2001) 1067-1141
    • (2001) Rev. Modern Phys. , vol.73 , pp. 1067-1141
    • Helbing, D.1
  • 3
    • 67549087804 scopus 로고    scopus 로고
    • Critical analysis and perspectives on the hydrodynamic approach for the mathematical theory of vehicular traffic
    • Bonzani I., and Gramani Cumin L.M. Critical analysis and perspectives on the hydrodynamic approach for the mathematical theory of vehicular traffic. Math. Comput. Modelling 50 (2009) 526-561
    • (2009) Math. Comput. Modelling , vol.50 , pp. 526-561
    • Bonzani, I.1    Gramani Cumin, L.M.2
  • 5
    • 48049120920 scopus 로고    scopus 로고
    • On the modelling crowd dynamics from scaling to hyperbolic macroscopic models
    • Bellomo N., and Dogbé C. On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Math. Models Methods Appl. Sci. 18 Suppl. (2008) 1317-1345
    • (2008) Math. Models Methods Appl. Sci. , vol.18 , Issue.SUPPL , pp. 1317-1345
    • Bellomo, N.1    Dogbé, C.2
  • 6
    • 49449093394 scopus 로고    scopus 로고
    • Modelling and simulation of vehicular traffic jam formation
    • Degond P., and Delitala M. Modelling and simulation of vehicular traffic jam formation. Kinetic and Related Models 1 2 (2008) 279-293
    • (2008) Kinetic and Related Models , vol.1 , Issue.2 , pp. 279-293
    • Degond, P.1    Delitala, M.2
  • 7
    • 34249789588 scopus 로고    scopus 로고
    • Mathematical modelling of vehicular traffic: A discrete kinetic theory approach
    • Delitala M., and Tosin A. Mathematical modelling of vehicular traffic: A discrete kinetic theory approach. Math. Models Methods Appl. Sci. 17 (2007) 901-932
    • (2007) Math. Models Methods Appl. Sci. , vol.17 , pp. 901-932
    • Delitala, M.1    Tosin, A.2
  • 8
    • 52049090561 scopus 로고    scopus 로고
    • Modelling and simulations of multilane traffic flow by kinetic theory methods
    • Bonzani I., and Gramani Cumin L.M. Modelling and simulations of multilane traffic flow by kinetic theory methods. Comput. Math. Appl. 56 (2008) 2418-2428
    • (2008) Comput. Math. Appl. , vol.56 , pp. 2418-2428
    • Bonzani, I.1    Gramani Cumin, L.M.2
  • 9
    • 58049183272 scopus 로고    scopus 로고
    • From the discrete kinetic theory of vehicular traffic flow to computing the velocity distribution at equilibrium
    • Bonzani I., and Mussone L. From the discrete kinetic theory of vehicular traffic flow to computing the velocity distribution at equilibrium. Math. Comput. Modelling 49 (2009) 610-616
    • (2009) Math. Comput. Modelling , vol.49 , pp. 610-616
    • Bonzani, I.1    Mussone, L.2
  • 10
    • 27844464902 scopus 로고    scopus 로고
    • First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow
    • Bellomo N., and Coscia V. First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow. CR Mecanique 333 (2005) 843-851
    • (2005) CR Mecanique , vol.333 , pp. 843-851
    • Bellomo, N.1    Coscia, V.2
  • 11
    • 0033119901 scopus 로고    scopus 로고
    • Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems
    • De Angelis E. Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems. Math. Comput. Modelling 29 (1999) 83-95
    • (1999) Math. Comput. Modelling , vol.29 , pp. 83-95
    • De Angelis, E.1
  • 12
    • 0034163352 scopus 로고    scopus 로고
    • Hydrodynamics models of traffic flow: Drivers' behaviour and nonlinear diffusion
    • Bonzani I. Hydrodynamics models of traffic flow: Drivers' behaviour and nonlinear diffusion. Math. Comput. Modelling 31 (2000) 1-8
    • (2000) Math. Comput. Modelling , vol.31 , pp. 1-8
    • Bonzani, I.1
  • 13
    • 0033691480 scopus 로고    scopus 로고
    • Resurrection of "second order" models of traffic flow
    • Aw A., and Rascle M. Resurrection of "second order" models of traffic flow. SIAM J. Appl. Math. 60 (2000) 916-938
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 916-938
    • Aw, A.1    Rascle, M.2
  • 15
    • 42549119496 scopus 로고    scopus 로고
    • A hybrid Lagrangian model based on the Aw-Rascle traffic flow model
    • Moutari S., and Rascle M. A hybrid Lagrangian model based on the Aw-Rascle traffic flow model. SIAM J. Appl. Math. 68 (2007) 413-436
    • (2007) SIAM J. Appl. Math. , vol.68 , pp. 413-436
    • Moutari, S.1    Rascle, M.2
  • 17
    • 34249804473 scopus 로고    scopus 로고
    • On the mathematical theory of vehicular traffic flow II. Discrete velocity kinetic models
    • Coscia V., Delitala M., and Frasca P. On the mathematical theory of vehicular traffic flow II. Discrete velocity kinetic models. Int. J. Non-Linear Mech. 42 (2007) 411-421
    • (2007) Int. J. Non-Linear Mech. , vol.42 , pp. 411-421
    • Coscia, V.1    Delitala, M.2    Frasca, P.3
  • 18
    • 60949114144 scopus 로고    scopus 로고
    • On the modeling of granular traffic flow by the kinetic theory for active particles trend to equilibrium and macroscopic behavior
    • Gramani Cumin L.M. On the modeling of granular traffic flow by the kinetic theory for active particles trend to equilibrium and macroscopic behavior. Int. J. Non-Linear Mech. 44 (2009) 263-268
    • (2009) Int. J. Non-Linear Mech. , vol.44 , pp. 263-268
    • Gramani Cumin, L.M.1
  • 19
    • 34250803603 scopus 로고    scopus 로고
    • Modeling complex living systems. A kinetic theory and stochastic game approach
    • Birkhäuser, Boston, Inc. Boston MA
    • Bellomo N. Modeling complex living systems. A kinetic theory and stochastic game approach. Modeling and Simulation in Science, Engineering and Technology (2008), Birkhäuser, Boston, Inc. Boston MA 1149-1191
    • (2008) Modeling and Simulation in Science, Engineering and Technology , pp. 1149-1191
    • Bellomo, N.1
  • 20
    • 49449118528 scopus 로고    scopus 로고
    • Stochastic dynamics and viscolelastic skeins: Condensation waves and continuum limits
    • Albeverio S., and Alt W. Stochastic dynamics and viscolelastic skeins: Condensation waves and continuum limits. Math. Models Methods Appl. Sci. 18 (2008)
    • (2008) Math. Models Methods Appl. Sci. , vol.18
    • Albeverio, S.1    Alt, W.2
  • 21
    • 49449106913 scopus 로고    scopus 로고
    • Continuum limit of self-driven particles with orientation interaction
    • Degond P., and Motsch S. Continuum limit of self-driven particles with orientation interaction. Math. Models Methods Appl. Sci. 18 (2008) 1193-1215
    • (2008) Math. Models Methods Appl. Sci. , vol.18 , pp. 1193-1215
    • Degond, P.1    Motsch, S.2
  • 22
    • 68149136534 scopus 로고    scopus 로고
    • Pedestrian flows in bounded domains with obstacles
    • Piccoli B., and Tosin A. Pedestrian flows in bounded domains with obstacles. Contin. Mech. Thermodyn. 21 2 (2009) 85-107
    • (2009) Contin. Mech. Thermodyn. , vol.21 , Issue.2 , pp. 85-107
    • Piccoli, B.1    Tosin, A.2
  • 24
    • 33846985641 scopus 로고    scopus 로고
    • Hybrid two scales mathematical tools for active particles modeling complex systems with learing hiding dynamics
    • Cattani C., and Ciancio A. Hybrid two scales mathematical tools for active particles modeling complex systems with learing hiding dynamics. Math. Models Methods Appl. Sci. 17 (2007) 171-187
    • (2007) Math. Models Methods Appl. Sci. , vol.17 , pp. 171-187
    • Cattani, C.1    Ciancio, A.2
  • 25
    • 54049101941 scopus 로고    scopus 로고
    • From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells
    • Bellomo N., and Delitala M. From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells. PLREV 5 (2008) 183-206
    • (2008) PLREV , vol.5 , pp. 183-206
    • Bellomo, N.1    Delitala, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.