Stability in kinetic theory of vehicular traffic

Meccanica ◽  
1973 ◽  
Vol 8 (1) ◽  
pp. 11-15 ◽  
Author(s):  
Aldo Belleni Morante
Keyword(s):  
Kinetic Theory ◽  
Vehicular Traffic

Observed Multilane Speed Distribution and the Kinetic Theory of Vehicular Traffic

1980 ◽  
Vol 14 (1) ◽  
pp. 55-76 ◽  
Author(s):  
Leslie C. Edie ◽  
Robert Herman ◽  
Tenny N. Lam
Keyword(s):  
Kinetic Theory ◽  
Vehicular Traffic ◽  
Speed Distribution

Kinetic Theory of Vehicular Traffic

1972 ◽  
Vol SMC-2 (2) ◽  
pp. 295-295 ◽  
Author(s):  
I. Prigogine ◽  
R. Herman ◽  
R. S. Schechter
Keyword(s):  
Kinetic Theory ◽  
Vehicular Traffic

Two-group kinetic theory of vehicular traffic

Meccanica ◽  
1974 ◽  
Vol 9 (3) ◽  
pp. 151-156 ◽  
Author(s):  
Aldo Belleni Morante ◽  
Alberto Pagliarini
Keyword(s):  
Kinetic Theory ◽  
Vehicular Traffic

scholarly journals Kinetic Model for Vehicular Traffic with Continuum Velocity and Mean Field Interactions

Symmetry ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1093 ◽  
Author(s):  
Juan Calvo ◽  
Juanjo Nieto ◽  
Mohamed Zagour
Keyword(s):  
Kinetic Theory ◽  
Short Range ◽  
Mean Field ◽  
Point Of View ◽  
Vehicular Traffic ◽  
Active Particles ◽  
Theory Point ◽  
Non Local ◽  
Velocity Changes

This paper is concerned with the modeling and mathematical analysis of vehicular traffic phenomena. We adopt a kinetic theory point of view, under which the microscopic state of each vehicle is described by: (i) position, (ii) velocity and also (iii) activity, an additional varible that we use to describe the quality of the driver-vehicle micro-system. We use methods coming from game theory to describe interactions at the microscopic scale, thus constructing new models within the framework of the Kinetic Theory of Active Particles; the resulting models incorporate some of the symmetries that are commonly found in the mathematical models of the kinetic theory of gases. Short-range interactions and mean field interactions are introduced and modeled to depict velocity changes related to passing phenomena. Our main goal is twofold: (i) to use continuum-velocity variables and (ii) to introduce a non-local acceleration term modeling mean field interactions, related to, for example, the presence of tollgates or traffic highlights.

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