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Hysteresis Phenomena of a Macroscopic Fundamental Diagram in Freeway Networks

机译:高速公路网络宏观基础图的滞后现象

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Observations of traffic pairs of flow vs. density or occupancy for individual locations in freeways or arterials are usually scattered about an underlying curve. Recent observations from empirical data in arterial networks showed that in some cases by aggregating the highly scattered plots of flow vs. density from individual loop detectors, the scatter almost disappears and welldefined macroscopic relations exist between space-mean network flow and network density. Despite these findings for the existence of well-defined relations with low scatter, these curves should not be universal. In this paper we investigate if welldefined macroscopic relations exist for freeway network systems, by analyzing real data from Minnesota’s freeways. We show that freeway network systems not only have curves with high scatter, but they also exhibit hysteresis phenomena, where higher network flows are observed for the same average network density in the onset and lower in the offset of congestion. The mechanisms of traffic hysteresis phenomena at the network level are analyzed in this paper and they have dissimilarities to the causes of the hysteresis phenomena at the micro/meso level. The explanation of the phenomenon is dual. The first reason is that there are different spatial and temporal distributions of congestion for the same level of average density. Another reason is the synchronized occurrence of transitions from individual detectors during the offset of the peak period, with points remain beneath the equilibrium curve. Both the hysteresis phenomenon and its causes are consistently observed for different spatial aggregations of the network.
机译:流动对流量对的观察与高速公路或动脉处的各个位置的密度或占用通常散布在底层曲线上。最近从动脉网络中的经验数据的观测显示,在某些情况下,通过聚集来自单个环路检测器的高度散射与密度的高度散射图,在空间网络流和网络密度之间存在散射几乎消失,并且存在络入的宏观关系。尽管存在这些调查结果,但存在与低散射的明确关系,但这些曲线不应该是普遍的。在本文中,我们通过分析来自明尼苏达州的高速公路的真实数据,研究了高速公路网络系统是否存在良好的宏观关系。我们表明,高速公路网络系统不仅具有高散射的曲线,而且还表现出滞后现象,其中观察到在发起的相同平均网络密度并且在拥塞的偏移中观察到更高的网络流。在本文中分析了网络水平的交通滞后现象的机制,对微/间谍水平的滞后现象的原因具有不同的差异。对现象的解释是双重的。第一个原因是对于相同水平的平均密度存在不同的空间和时间分布。另一个原因是在峰值周期偏移期间的各个检测器的转换的同步发生,点仍然是平衡曲线下方。对于网络的不同空间聚集,始终观察到滞后现象及其原因。

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