Kinetic segregation in a multilane highway traffic flow
Kinetic segregation in a multilane highway traffic flow
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DOI：
10.1016/s0378-4371(96)00454-2
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发表时间：
1997-03
影响因子：
3.3
通讯作者：
T. Nagatani
中科院分区：
文献类型：
--
作者：
T. Nagatani
建立了一个研究多车道公路上汽车分离的交通模型。当一辆快（慢）车超过一辆慢（快）车时，快（慢）车换到外（内）车道。多车道公路上的交通动力学描述的Boltzmann类动力学方程。从运动学方程出发，推导出各车道上的速度分布，研究了汽车在车道间的分离。动力学方程的离散版本，数值求解这些方程。采用数值方法计算了车道上的速度分布随时间的变化。数值计算了两车道、三车道、四车道和五车道高速公路稳态时的速度分布。结果表明，慢速汽车集中在内侧车道，快速汽车集中在外侧车道，然后通过换道发生分离。
A traffic model is presented to study the segregation of cars on a multilane highway. When a fast (slow) car overtakes (is overtaken by) a slow (fast) car, the fast (slow) car shifts to the outer (inner) lane. The traffic kinetics on a multilane highway is described in terms of Boltzmann-like kinetic equations. The segregation of cars between lanes is studied by deriving the velocity distribution on each lane from the kinetic equations. The discrete versions of the kinetic equations are presented to solve numerically these equations. The time evolutions of velocity distributions on the lanes are calculated by numerical method. The velocity distributions on two-lane, three-lane, four-lane and five-lane highways in a steady state are also derived numerically. It is shown that the slower cars gather on the inner lanes, the faster cars gather on the outer lanes and then a segregation occurs by changing lanes.