标题： 无信号交叉口的交通拥堵分析 显示英文标题

标题： Congestion analysis of unsignalized intersections

摘要： 本文考虑了一个无信号交叉口，该交叉口被两个交通流使用。一个车辆流使用主路，并优先于另一个低优先级的流。属于后一流车辆的车辆在主路上两辆后续车辆之间的间隙大于它们的临界跟车时间时才会穿越主路。自然出现的问题是：给定主路上车辆的到达模式，低优先级车辆的最大到达率是多少，才能使这类车辆的数量保持稳定？其次，关于次路中典型车辆所经历的延误可以得出什么结论？本文通过考虑一个紧凑模型来解决这些问题，该模型揭示了所考虑的无信号交叉口动态的见解。该模型具有排队论性质，揭示了用户行为对上述稳定性与延迟问题的影响的有趣见解。本文的贡献有两个方面。首先，我们获得了关于考虑中的模型在驾驶员不耐烦情况下的新结果。其次，我们揭示了一些迄今为止在现有文献中未被观察到的令人惊讶的方面，其中许多方面是由于次要道路的容量无法用\emph{平均值}间隙大小来表示；相反，临界跟车时间分布的更多详细特征起作用。 显示英文摘要

摘要： This paper considers an unsignalized intersection used by two traffic streams. A stream of cars is using a primary road, and has priority over the other, low-priority, stream. Cars belonging to the latter stream cross the primary road if the gaps between two subsequent cars on the primary road is larger than their critical headways. Questions that naturally arise are: given the arrival pattern of the cars on the primary road, what is the maximum arrival rate of low-priority cars such that the number of such cars remains stable? In the second place, what can be said about the delay experienced by a typical car at the secondary road? This paper addresses such issues by considering a compact model that sheds light on the dynamics of the considered unsignalized intersection. The model, which is of a queueing-theoretic nature, reveals interesting insights into the impact of the user behavior on the above stability and delay issues. The contribution of this paper is twofold. First, we obtain new results for the aforementioned model with driver impatience. Secondly, we reveal some surprising aspects that have remained unobserved in the existing literature so far, many of which are caused by the fact that the capacity of the minor road cannot be expressed in terms of the \emph{mean} gap size; instead more detailed characteristics of the critical headway distribution play a role.