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Circuity analyses of HSR network and high-speed train paths in China

机译:中国高铁网络和高速列车路径的电路分析

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摘要

Circuity, defined as the ratio of the shortest network distance to the Euclidean distance between one origin–destination (O-D) pair, can be adopted as a helpful evaluation method of indirect degrees of train paths. In this paper, the maximum circuity of the paths of operated trains is set to be the threshold value of the circuity of high-speed train paths. For the shortest paths of any node pairs, if their circuity is not higher than the threshold value, the paths can be regarded as the reasonable paths. With the consideration of a certain relative or absolute error, we cluster the reasonable paths on the basis of their inclusion relationship and the center path of each class represents a passenger transit corridor. We take the high-speed rail (HSR) network in China at the end of 2014 as an example, and obtain 51 passenger transit corridors, which are alternative sets of train paths. Furthermore, we analyze the circuity distribution of paths of all node pairs in the network. We find that the high circuity of train paths can be decreased with the construction of a high-speed railway line, which indicates that the structure of the HSR network in China tends to be more complete and the HSR network can make the Chinese railway network more efficient.
机译:定义为最短网络距离与一个起点-终点(O-D)对之间的欧几里得距离之比的电路,可以用作火车路径间接度的一种有用的评估方法。在本文中,将运行中的火车的最大路径设置为高速火车的路径的阈值。对于任何节点对的最短路径,如果它们的回路不高于阈值,则可以将这些路径视为合理路径。考虑到一定的相对误差或绝对误差,我们基于它们的包含关系对合理路径进行聚类,并且每个类别的中心路径代表一个旅客过境走廊。我们以2014年底的中国高铁(HSR)网络为例,获得51条旅客过境走廊,它们是火车路径的替代集。此外,我们分析了网络中所有节点对的路径的电路分布。我们发现,通过建设高速铁路,可以减少火车路径的高弯曲度,这表明中国的高铁网络结构趋于完整,高铁网络可以使中国的铁路网络更加完善。高效。

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