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高速公路瓶颈处时空交通模式的实证宏观特征。

Empirical macroscopic features of spatial-temporal traffic patterns at highway bottlenecks.

作者信息

Kerner Boris S

机构信息

DaimlerChrysler AG, FT3/TN, HPC: E224, 70546 Stuttgart, Germany.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Apr;65(4 Pt 2A):046138. doi: 10.1103/PhysRevE.65.046138. Epub 2002 Apr 10.

Abstract

Results of an empirical study of congested patterns measured during 1995-2001 at German highways are presented. Based on this study, various types of congested patterns at on and off ramps have been identified, their macroscopic spatial-temporal features have been derived, and an evolution of those patterns and transformations between different types of the patterns over time has been found out. It has been found that at an isolated bottleneck (a bottleneck that is far enough from other effective bottlenecks) either the general pattern (GP) or the synchronized flow pattern (SP) can be formed. In GP, synchronized flow occurs and wide moving jams spontaneously emerge in that synchronized flow. In SP, no wide moving jams emerge, i.e., SP consists of synchronized flow only. An evolution of GP into SP when the flow rate to the on ramp decreases has been found and investigated. Spatial-temporal features of complex patterns that occur if two or more effective bottlenecks exist on a highway have been found out. In particular, the expanded pattern where synchronized flow covers two or more effective bottlenecks can be formed. It has been found that the spatial-temporal structure of congested patterns possesses predictable, i.e., characteristic, unique, and reproducible features, for example, the most probable types of patterns that are formed at a given bottleneck. According to the empirical investigations the cases of the weak and the strong congestion should be distinguished. In contrast to the weak congestion, the strong congestion possesses the following characteristic features: (i) the flow rate in synchronized flow is self-maintaining near a limit flow rate; (ii) the mean width of the region of synchronized flow in GP does not depend on traffic demand; (iii) there is a correlation between the parameters of synchronized flow and wide moving jams: the higher the flow rate out from a wide moving jam is, the higher is the limit flow rate in the synchronized flow. The strong congestion often occurs in GP whereas the weak congestion is usual for SP. The weak congestion is often observed at off ramps whereas the strong congestion much more often occurs at on ramps. Under the weak congestion diverse transformations between different congested patterns can occur.

摘要

本文展示了1995 - 2001年期间在德国高速公路上测量的拥堵模式实证研究结果。基于此项研究,已识别出匝道出入口处的各类拥堵模式,推导出其宏观时空特征,并发现了这些模式随时间的演变以及不同类型模式之间的转换。研究发现,在孤立瓶颈(距离其他有效瓶颈足够远的瓶颈)处,要么形成一般模式(GP),要么形成同步流模式(SP)。在GP中,会出现同步流,且在该同步流中会自发出现宽移动拥堵。在SP中,不会出现宽移动拥堵,即SP仅由同步流组成。已发现并研究了随着匝道入口流量减少,GP向SP的演变。已找出高速公路上存在两个或更多有效瓶颈时出现的复杂模式的时空特征。特别是,可以形成同步流覆盖两个或更多有效瓶颈的扩展模式。研究发现,拥堵模式的时空结构具有可预测性,即具有特征性、独特性和可重复性特征,例如在给定瓶颈处形成的最可能的模式类型。根据实证研究,应区分弱拥堵和强拥堵情况。与弱拥堵不同,强拥堵具有以下特征:(i)同步流中的流量在极限流量附近自我维持;(ii)GP中同步流区域的平均宽度不依赖于交通需求;(iii)同步流参数与宽移动拥堵之间存在相关性:宽移动拥堵流出的流量越高,同步流中的极限流量就越高。强拥堵通常出现在GP中,而弱拥堵在SP中较为常见。弱拥堵常在匝道出口处观察到,而强拥堵更常出现在匝道入口处。在弱拥堵情况下,不同拥堵模式之间会发生多种转换。

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