On a traffic problem
Buřič, Lubor ; Janovský, Vladimír
Programs and Algorithms of Numerical Mathematics, GDML_Books, (2006), p. 37-45 / Harvested from
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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.

EUDML-ID : urn:eudml:doc:271254 
@article{702816,
     title = {On a traffic problem},
     booktitle = {Programs and Algorithms of Numerical Mathematics},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2006},
     pages = {37-45},
     url = {http://dml.mathdoc.fr/item/702816}
}

Buřič, Lubor; Janovský, Vladimír. On a traffic problem, dans Programs and Algorithms of Numerical Mathematics, GDML_Books,  (2006), pp. 37-45. http://gdmltest.u-ga.fr/item/702816/