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Article

Buřič, Lubor ; Janovský, Vladimír
On a traffic problem. (English). In: Chleboun, J., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Prague, May 28-31, 2006. Institute of Mathematics AS CR, Prague, 2006. pp. 37-45
Summary:
We consider a macroscopic follow-the-leader model of a road traffic. The novelty is that we incorporate the possibility to overtake a slower car. We introduce two ways to simulate overtaking. One is based on swapping initial conditions after the overtaking occurs. Second approach is to formulate the problem as a Filippov system with discontinuous right-hand sides.
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