论文标题
多人口流量的稳定性
Stability of multi-population traffic flows
论文作者
论文摘要
交通波也被称为停留波浪或幻影火腿自然而然地作为交通不稳定,也是在狭窄的环境中作为环形路。在环路上研究了多人口流量,由行为稳定且不稳定的驾驶员组成。存在稳定车辆的临界渗透率,该稳定车辆稳定,并且系统在该系统不稳定的情况下。在后一种情况下,出现了停下来的海浪,只要有足够的汽车在路上。临界渗透率是可以明确计算的,在合理的情况下,少数侵略性驱动因素足以破坏原本非常稳定的流动。这是单个人群模型无法解释的不稳定来源。同样,如果汽车数量足够小,多人群系统可以稳定以下。随着汽车数量的增加,不稳定也会出现,即使交通密度保持不变(即汽车数量和道路尺寸的增加相似)。这表明小实验可能导致推论不精确的稳定性条件。
Traffic waves, known also as stop-and-go waves or phantom hams, appear naturally as traffic instabilities, also in confined environments as a ring-road. A multi-population traffic is studied on a ring-road, comprised of drivers with stable and unstable behavior. There exists a critical penetration rate of stable vehicles above which the system is stable, and under which the system is unstable. In the latter case, stop-and-go waves appear, provided enough cars are on the road. The critical penetration rate is explicitly computable, and, in reasonable situations, a small minority of aggressive drivers is enough to destabilize an otherwise very stable flow. This is a source of instability that a single population model would not be able to explain. Also, the multi-population system can be stable below the critical penetration rate if the number of cars is sufficiently small. Instability emerges as the number of cars increases, even if the traffic density remains the same (i.e. number of cars and road size increase similarly). This shows that small experiments could lead to deducing imprecise stability conditions.