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The queue dynamics of protected/permissive left turns at pre-timed signalized intersections
Physica A: Statistical Mechanics and its Applications ( IF 2.8 ) Pub Date : 2020-10-09 , DOI: 10.1016/j.physa.2020.125406
Qiaoli Yang , Zhongke Shi

Queue length is a very fundamental indicator for evaluating the efficiency of traffic control strategy for signalized intersections, which is generally regarded as the basis for design and control of traffic operations. As the protected/permissive left-turn queue at traffic signals has significant randomness and unpredictability, the average value itself is often not sufficient to reflect the variation and uncertainty of queueing process, thus it is a less useful guide as the performance evaluation for the use of protected/permissive left-turn operation. In this paper, a Markov queueing model with server fixed vacation and multiple uncertain interruptions is proposed, and a numerical solution method is formulated to measure the queue dynamics of protected/permissive left turns at signalized intersections. Overcome the dependence on the average value of queue length, a more efficient version of the queue length along the time axis is explored by considering various practical constraints. The obtained performance indicators can be used to measure the queue length at any chosen time point during a signal cycle only by inputting some basic information. The proposed model is evaluated using the well-known Webster formula with different signal timings, left-turn demands and opposing through demands. In addition, numerical results show that the indicator of queue length along the time axis within a cycle can provide more sufficient information to reflect the variation and uncertainty of queue length, thus it can help to establish a basic queue profile on evaluating the use of protected/permissive left-turn operation.



中文翻译:

在预先设定的信号交叉口处,受保护/允许左转的队列动力学

队列长度是评估信号交叉口交通控制策略效率的非常基本的指标,通常被视为设计和控制交通运营的基础。由于交通信号灯处的受保护/允许的左转队列具有很大的随机性和不可预测性,因此平均值本身通常不足以反映排队过程的变化和不确定性,因此,作为使用性能评估的指南不太有用。受保护/允许的左转操作。本文提出了一个具有服务器固定休假和多个不确定中断的马尔可夫排队模型,并提出了一种数值求解方法来测量信号交叉口保护/允许左转的排队动态。克服了对队列长度平均值的依赖,通过考虑各种实际约束,探索了沿时间轴的队列长度的更有效版本。仅通过输入一些基本信息,即可将获得的性能指标用于测量信号周期内任何选定时间点的队列长度。使用众所周知的Webster公式对提出的模型进行评估,该公式具有不同的信号时序,左转需求和反向需求。此外,数值结果表明,一个周期内沿时间轴的队列长度指标可以提供更多的信息,以反映队列长度的变化和不确定性,从而有助于建立评估受保护对象使用情况的基本队列配置文件。 /允许左转操作。通过考虑各种实际限制,探索了沿时间轴的队列长度的更有效版本。仅通过输入一些基本信息,即可将获得的性能指标用于测量信号周期内任何选定时间点的队列长度。使用众所周知的Webster公式对提出的模型进行评估,该公式具有不同的信号时序,左转需求和反向需求。此外,数值结果表明,一个周期内沿时间轴的队列长度指标可以提供更多的信息,以反映队列长度的变化和不确定性,从而有助于建立评估受保护对象使用情况的基本队列配置文件。 /允许左转操作。通过考虑各种实际限制,探索了沿时间轴的队列长度的更有效版本。仅通过输入一些基本信息,即可将获得的性能指标用于测量信号周期内任何选定时间点的队列长度。使用众所周知的Webster公式对提出的模型进行评估,该公式具有不同的信号时序,左转需求和反向需求。此外,数值结果表明,一个周期内沿时间轴的队列长度指标可以提供更多的信息,以反映队列长度的变化和不确定性,从而有助于建立评估受保护对象使用情况的基本队列配置文件。 /允许左转操作。

更新日期:2020-10-13
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