Modeling the driver's behavior on second-order macroscopic models of vehicular traffic flow

Mathematical and Computer Modelling

Volumn 40, Issue 9-10, 2004, Pages 1065-1073

  Bonzani, I ^a   Mussone, L ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Conservation equations; Hydrodynamics; Modeling drivers; Traffic flow

Indexed keywords

AUTOMOBILE DRIVERS; HYDRODYNAMICS; MATHEMATICAL MODELS;

CONSERVATION EQUATIONS; HYPERBOLICITY ANALYSIS; MATHEMATICAL SETTING;

TRAFFIC CONTROL;

EID: 16344379705     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2003.09.042     Document Type: Article

References (17)

1. N. Bellomo, M. Delitala, and V. Coscia On the mathematical theory of vehicular traffic flow: I--Hydrodynamic and kinetic modelling Math. Models Methods in Appl. Sci. 12 2002 1801 1843
2. C. Truesdell, and K. Rajagopal An Introduction to Classical Mechanics of Fluids 2000 Birkhäuser
3. C. Daganzo Requiem for second order fluid approximations of traffic flow Transpn. Res. B 29B 1995 277 286
4. A. Aw, and M. Rascle Resurrection of "second order models" of traffic flow SIAM J. Appl. Math. 60 2000 916 938
5. Special Issue of M. Rascle An improved macroscopic model of traffic flow: Derivation and links with the Lighthill-Whitham model Traffic Flow Modelling Mathl. Comput. Modelling 35 5/6 2001 581 590
6. Special Issue of R.M. Colombo On a 2 × 2 hyperbolic traffic flow model Traffic Flow Modelling Mathl. Comput. Modelling 35 5/6 2001 683 688
7. J.M. Greenberg Extensions and amplifications of a traffic model of Aw and Rascle SIAM J. Appl. Math. 62 2001 729 745
8. N. Bellomo, A. Marasco, and A. Romano From the modelling of driver's behaviour to hydrodynamic models and problems of traffic flow Nonlinear Analysis RWA 3 2002 339 363
9. E. De Angelis Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems Mathl. Comput. Modelling 29 7 1999 83 95
10. I. Bonzani Hydrodynamic models of traffic flow: Driver's behavior and nonlinear diffusion Mathl. Comput. Modelling 31 6/7 2000 1 8
11. Special Issue of I. Bonzani, and R. Porro Optimization of traffic flow conditions by minimization of quadratic functionals Traffic Flow Modelling Mathl. Comput. Modelling 35 5/6 2001 673 681
12. I. Bonzani, and L. Mussone From experiments to hydrodynamic traffic flow models: I--Modelling and parameter identification Mathl. Comput. Modelling 37 12/13 2003 1435 1442
13. H.J. Payne Models of Freeway Traffic and Control 1971 Simulation Council Boston, MA
14. G.B. Whitham Linear and Nonlinear Waves 1971 Wiley and Sons New York
15. A. Klar, and R. Wegener Kinetic derivation of macroscopic anticipation models for vehicular traffic SIAM J. Appl. Math. 60 2000 1749 1766
16. th International Symposium on Transportation and Traffic Theory 1984 VNU Science Press 21 42
17. B. Kerner, and P. Konhäuser Cluster effect in initially homogeneous traffic flow Physical Review E 48 1993 2335 2348