TY  - JOUR
PY  - 2019//
TI  - Modeling random traffic accidents by conservation laws
JO  - Mathematical biosciences and engineering
A1  - Göttlich, Simone
A1  - Knapp, Stephan
SP  - 1677
EP  - 1701
VL  - 17
IS  - 2
N2  - We introduce a stochastic traffic flow model to describe random traffic accidents on a single road. The model is a piecewise deterministic process incorporating traffic accidents and is based on a scalar conservation law with space-dependent flux function. Using a Lax-Friedrichs discretization, we show that the total variation is bounded in finite time and provide a theoretical framework to embed the stochastic process. Additionally, a solution algorithm is introduced to also investigate the model numerically.<p />  <p>Language: en</p>
LA  - en
SN  - 1547-1063
UR  - http://dx.doi.org/10.3934/mbe.2020088
ID  - ref1
ER  -