首页|HYBRID STOCHASTIC KINETIC DESCRIPTION OF TWO-DIMENSIONAL TRAFFIC DYNAMICS
HYBRID STOCHASTIC KINETIC DESCRIPTION OF TWO-DIMENSIONAL TRAFFIC DYNAMICS
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NSTL
Siam Publications
In this work we present a two-dimensional kinetic traffic model which takes into account speed changes both when vehicles interact along the road lanes and when they change lane. Assuming that lane changes are less frequent than interactions along the same lane and considering that their mathematical description can be done up to some uncertainty in the model parameters, we derive a hybrid stochastic Fokker-Planck-Boltzmann equation in the quasi-invariant interaction limit. By means of suitable numerical methods, precisely structure preserving and direct Monte Carlo schemes, we use this equation to compute theoretical speed-density diagrams of traffic both along and across the lanes, including estimates of the data dispersion, and validate them against real data.
Boltzmann and Fokker-Planck equationsuncertainty quantificationstructure preserving schemesfundamental diagramsdata dispersion
NSTL
Siam Publications
