单中心城市内部车流密度和行车速度模型研究

Theory model of traffic flow density and speed distribution in single-center city

根据统计物理学的理论知识,将车辆自由出行活动看作粒子在一定空间(城市道路网)的自由活动;基于理想圆形城市和放射道路网的假设,借助玻耳兹曼统计方法推导出了城市内部车流密度空间分布的负指数理论模型,并借鉴交通阻抗的相关概念和算法用代表交通阻抗的最短出行时间代替垂直距离对模型做了修正.并根据Greenshields的速度-密度关系模型推导出了城市内部行车速度分布模型;通过调查数据对上述所建模型进行验证,证明了所建模型的有效性。

On the basis of statistical physics,the vehicle travel actiwity was regarded as free particle in a certain space.With the help of the Boltzman and some assuptions,a theory model of traffic flow desity spatial distribution for ideal circular city and road radial network was deduced.According to the speed-density model of Greenshields,a model of the speed spatial distribution was derived.By comparing with survey data,the validity of the models were proved.