Segmentation of transport network by separation property for building transportation hub system

K. V. Penkovskaya, Aleksandr Nikolaevich Suslov, Sergey Ivanovich Poznyakov
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Abstract

The article considers the problem of segmenting the interrelated terminals of a transport network into a fixed number of relatively autonomous transport hubs when solving transport technical problems. There has been proposed a most common and simple option for solving the graph partition problems - a problem of segmenting the transport network by r-partitioning. Useful practical approaches to solving the problem are studied. There has been proposed an assessing version for developing the transport network segmentation procedures and their content-richness. A heuristic procedure for the transport network segmentation by separation property for building the transportation hub system is defined. For the considered heuristic procedures of solving the set problem there is conducted the study of heuristic procedure properties and assessed the worst scenarios. It is found that the segmentation of the regional transport network into separate transport hubs using the described procedures can be carried out for the subclass of separable tiling or separable on average tiling, if no further possible improvements could be assessed. The considered procedures of the regionʼs transport network graph segmentation have one common feature: these procedures preserve some beneficial properties in tiling obtained in the course of building the transportation hub. It has been stated that the procedures can serve as a ground in the synthesis of a hierarchical group represented as a chain of inner tilings, each being “good” in terms of cluster analysis. The assessment richness of the transport network partitioning into the transport hubs is analyzed using a computational experiment.
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利用分离性对交通网络进行分割,构建交通枢纽系统
本文在解决运输技术问题时,考虑了将运输网络中相互关联的终端分割成一定数量的相对自治的运输枢纽的问题。已经提出了解决图划分问题的最常见和最简单的选择-通过r-partitioning分割传输网络的问题。研究了解决这一问题的实用方法。已经提出了一个评估版本,用于开发传输网络分段程序及其内容丰富度。定义了一种基于分离性的交通网络分割的启发式方法,用于构建交通枢纽系统。对所考虑的求解集合问题的启发式程序进行了启发式程序性质的研究,并对最坏情况进行了评估。研究发现,如果无法评估进一步可能的改进,则可以使用所述方法将区域交通网络分割为单独的交通枢纽,用于可分离平铺或平均可分离平铺子类。所考虑的区域交通网络图分割方法有一个共同的特点:这些方法都保留了在交通枢纽建设过程中所获得的一些有利的平铺特性。有人指出,这些程序可以作为一个层次群体综合的基础,表示为一系列内部瓷砖,每个都是“好”的聚类分析。通过计算实验分析了交通网络划分为交通枢纽的评估丰富性。
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