On a traffic problem

Buřič, Lubor; Janovský, Vladimír

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 37-45

Abstract

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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.

How to cite

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Buřič, Lubor, and Janovský, Vladimír. "On a traffic problem." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2006. 37-45. <http://eudml.org/doc/271254>.

@inProceedings{Buřič2006,
abstract = {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.},
author = {Buřič, Lubor, Janovský, Vladimír},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {37-45},
publisher = {Institute of Mathematics AS CR},
title = {On a traffic problem},
url = {http://eudml.org/doc/271254},
year = {2006},
}

TY - CLSWK
AU - Buřič, Lubor
AU - Janovský, Vladimír
TI - On a traffic problem
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2006
CY - Prague
PB - Institute of Mathematics AS CR
SP - 37
EP - 45
AB - 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.
UR - http://eudml.org/doc/271254
ER -

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