The cell transmission model (CTM) is a macroscopic model that describes the dynamics of traffic flow over time and space. The effectiveness and accuracy of the CTM are discussed in this paper. First, the CTM formula is recognized as a finite-volume discretization of the kinematic traffic model with a trapezoidal flux function. To validate the constructed scheme, the simulation of shock waves and rarefaction waves as two important elements of traffic dynamics was performed. Adaptation of the CTM for intersecting and splitting cells is discussed. Its implementation on the road segment with traffic influx produces results that are consistent with the analytical solution of the kinematic model. Furthermore, a simulation on a simple road network shows the back and forth propagation of shock waves and rarefaction waves. Our numerical result agrees well with the existing result of Godunov’s finite-volume scheme. In addition, from this accurately proven scheme, we can extract information for the average travel time on a certain route, which is the most important information a traveller needs. It appears from simulations of different scenarios that, depending on the circumstances, a longer route may have a shorter travel time. Finally, there is a discussion on the possible application for traffic management in Indonesia during the Eid al-Fitr exodus.

中文翻译：

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应用于网络流量的流量模拟细胞传输模型分析

信元传输模型（CTM）是描述交通流随时间和空间动态变化的宏观模型。本文讨论了 CTM 的有效性和准确性。首先，CTM 公式被认为是具有梯形通量函数的运动交通模型的有限体积离散化。为了验证所构建的方案，对作为交通动力学的两个重要元素的冲击波和稀疏波进行了模拟。讨论了 CTM 对相交和分裂细胞的适应。它在有交通涌入的路段上的实施产生了与运动学模型的解析解一致的结果。此外，对简单道路网络的模拟显示了冲击波和稀疏波的来回传播。我们的数值结果与 Godunov 有限体积方案的现有结果非常吻合。此外，从这个经过准确验证的方案中，我们可以提取某条路线上的平均旅行时间信息，这是旅行者需要的最重要的信息。从不同场景的模拟中可以看出，根据情况，更长的路线可能有更短的旅行时间。最后，讨论了开斋节外流期间印度尼西亚交通管理的可能应用。视情况而定，较长的路线可能需要较短的旅行时间。最后，讨论了开斋节外流期间印度尼西亚交通管理的可能应用。视情况而定，较长的路线可能需要较短的旅行时间。最后，讨论了开斋节外流期间印度尼西亚交通管理的可能应用。