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

被引:6
作者
Bonzani, I. [2 ]
Mussone, L. [1 ]
机构
[1] Politecn Milan, Dept Bldg Environm Sci & Technol, Milan, Italy
[2] Politecn Torino, Dept Math, Turin, Italy
关键词
Traffic flow; Kinetic theory; Nonlinearity; Equilibrium flow; HYDRODYNAMIC MODELS; KINETIC-THEORY; MATHEMATICAL-THEORY; PARTICLES;
D O I
10.1016/j.mcm.2009.06.004
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper deals with derivation of the fundamental diagram by modelling the individual driver behavior that adjusts the velocity to the density of vehicles in order to respect the braking distance. A parameter is properly introduced to model the quality of the driver-vehicle subsystem referred to the environmental conditions. Subsequently, it is shown how to use this result in order to model traffic flows by the macroscopic representation and by the kinetic theory. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1107 / 1112
页数:6
相关论文
共 25 条
[1]  
ALBEVERIO S, 2008, MATH MODELS METHODS, V18
[2]   Resurrection of "second order" models of traffic flow [J].
Aw, A ;
Rascle, M .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2000, 60 (03) :916-938
[3]   Traffic, crowds, and swarms [J].
Bellomo, N. ;
Brezzi, F. .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2008, 18 (SUPPL.) :1145-1148
[4]   First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow [J].
Bellomo, N ;
Coscia, V .
COMPTES RENDUS MECANIQUE, 2005, 333 (11) :843-851
[5]  
Bellomo N, 2008, MODEL SIMUL SCI ENG, P1, DOI 10.1007/978-0-8176-4600-4
[6]   From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow [J].
Bellomo, N ;
Marasco, A ;
Romano, A .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2002, 3 (03) :339-363
[7]   From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells [J].
Bellomo, N. ;
Delitala, M. .
PHYSICS OF LIFE REVIEWS, 2008, 5 (04) :183-206
[8]   On the modelling crowd dynamics from scaling to hyperbolic macroscopic models [J].
Bellomo, Nicola ;
Dogbe, Christian .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2008, 18 (1317-1345) :1317-1345
[9]   A model for the formation and evolution of traffic jams [J].
Berthelin, F. ;
Degond, P. ;
Delitala, M. ;
Rascle, M. .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2008, 187 (02) :185-220
[10]   A traffic-flow model with constraints for the modeling of traffic jams [J].
Berthelin, Florent ;
Degond, Pierre ;
Le Blanc, Valerie ;
Moutari, Salissou ;
Rascle, Michel .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2008, 18 (SUPPL.) :1269-1298