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March 2003 Vlasov-Fokker-Plank Models for Multilane Traffic Flow
Reinhard Illner, Axel Klar, Thorsten Materne
Commun. Math. Sci. 1(1): 1-12 (March 2003).


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.


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Reinhard Illner. Axel Klar. Thorsten Materne. "Vlasov-Fokker-Plank Models for Multilane Traffic Flow." Commun. Math. Sci. 1 (1) 1 - 12, March 2003.


Published: March 2003
First available in Project Euclid: 7 June 2005

zbMATH: 1153.82335
MathSciNet: MR1979839

Rights: Copyright © 2003 International Press of Boston

Vol.1 • No. 1 • March 2003
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