Microscopic and macroscopic traffic flow models including random accidents
نویسندگان
چکیده
We introduce microscopic and macroscopic stochastic traffic models including accidents. The model is based on a Follow-the-Leader approach whereas the described by scalar conservation law with space dependent flux function. Accidents are introduced as interruptions of deterministic evolution directly linked to situation. Based Lax-Friedrichs discretization convergence shown. Numerical simulations presented compare above show their behaviour.
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2021
ISSN: ['1539-6746', '1945-0796']
DOI: https://doi.org/10.4310/cms.2021.v19.n6.a6