Vlasov-Fokker-Plank Models for Multilane Traffic Flow
Illner, Reinhard ; Klar, Axel ; Materne, Thorsten
Commun. Math. Sci., Tome 1 (2003) no. 1, p. 1-12 / Harvested from Project Euclid
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Systems of equations of Vlasov-Fokker-Planck type are suggested for multilane traffic flow. The equations include nonlocal and time-delayed braking and acceleration terms with rates depending on the densities and relative speeds. The braking terms include lane-change probabilities. It is shown that simple natural assumptions on the structure of these probabilities lead to multivalued fundamental diagrams, consistent with traffic observations. Lane-changing behavior is the critical ingredient in such bifunctions.
Publié le : 2003-03-14
Classification:  
@article{1118150395,
     author = {Illner, Reinhard and Klar, Axel and Materne, Thorsten},
     title = {Vlasov-Fokker-Plank Models for Multilane Traffic Flow},
     journal = {Commun. Math. Sci.},
     volume = {1},
     number = {1},
     year = {2003},
     pages = { 1-12},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1118150395}
}

Illner, Reinhard; Klar, Axel; Materne, Thorsten. Vlasov-Fokker-Plank Models for Multilane Traffic Flow. Commun. Math. Sci., Tome 1 (2003) no. 1, pp.  1-12. http://gdmltest.u-ga.fr/item/1118150395/