6533b7d2fe1ef96bd125df06

RESEARCH PRODUCT

Stochastic description of traffic breakdown

Ralf RemerReinhart KuehneIhor LubashevskyReinhard MahnkeJevgenijs Kaupuzs

subject

Physics::Physics and SocietyMathematical optimizationEngineeringTraffic congestion reconstruction with Kerner's three-phase theoryStochastic modellingbusiness.industryTraffic flowTraffic congestionMaster equationContainer (abstract data type)Three-phase traffic theorybusinessTraffic generation modelSimulation

description

We present a comparison of nucleation in an isothermal-isochoric container with traffic congestion on a one-lane freeway. The analysis is based, in both cases, on the probabilistic description by stochastic master equations. Further we analyze the characteristic features of traffic breakdowns. To describe this phenomenon we apply the stochastic model regarding the jam emergence to the formation of a large car cluster on the highway.

https://doi.org/10.1117/12.491008