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Exploring node importance evolution of weighted complex networks in urban rail transit
Physica A: Statistical Mechanics and its Applications ( IF 2.8 ) Pub Date : 2020-07-14 , DOI: 10.1016/j.physa.2020.124925
Yangyang Meng , Xiangliang Tian , Zhongwen Li , Wei Zhou , Zhijie Zhou , Maohua Zhong

With the development of complex networks in urban rail transit (URT), the topological structure changes accordingly and node importance also redistributes dynamically. However, many deficiencies exist in the single measure or unweighted network or static network when ranking node importance. Most importantly, the evolution mechanism of node importance with the network development is seldom studied. In view of this, in this paper, six unweighted and weighted complex networks are firstly modeled in the evolution of URT networks. One of Multiple Attribute Decision Making (MADM) methods is proposed, that is WTOPSIS (The Weighted Technique for Order of Preference by Similarity to Ideal Solution) algorithm combining Coefficient of Variation method and TOPSIS. Then four local and global centralities are aggregated and utilized in WTOPSIS to rank the node importance in those six networks. On the basis, the intersection degrees among the ranking sets are calculated to evaluate the similarities of ranking results. Furthermore, the factors contributing to the evolution of node importance are discussed quantitatively and qualitatively with examples. Finally, the feasibility of the method is verified by the Shenzhen Metro system in 2016. Results show that WTOPSIS algorithm outperforms the single attribute in ranking node importance, which makes up for the shortcomings in existing studies. Besides, for different stations in URT network development, node importance evolution is affected differently by the changes of topological structure and passenger flow. It is necessary to combine with the actual situations for the specific analysis. This study reveals the evolution mechanism of the node importance in the development of URT networks and it also has great theoretical and practical significance.



中文翻译:

探索城市轨道交通中加权复杂网络的节点重要性演化

随着城市轨道交通(URT)中复杂网络的发展,拓扑结构也发生了相应变化,节点重要性也随之动态重新分配。但是,在对节点重要性进行排名时,单一度量或未加权网络或静态网络中存在许多缺陷。最重要的是,很少研究节点重要性随网络发展的演化机制。有鉴于此,本文首先在URT网络的演进中对六个未加权和加权的复杂网络进行了建模。提出了一种多属性决策方法(MADM),即结合变异系数法和TOPSIS的WTOPSIS(加权优先权,类似于理想解的加权技术)算法。然后,在WTOPSIS中汇总并利用了四个本地和全球中心,以对这六个网络中的节点重要性进行排名。在此基础上,计算排名集之间的相交度,以评估排名结果的相似性。此外,通过实例定量和定性地讨论了影响节点重要性演变的因素。最后,该方法的可行性在2016年的深圳地铁系统中得到了验证。结果表明,WTOPSIS算法在节点重要性排序上优于单一属性,弥补了现有研究的不足。此外,对于URT网络发展中的不同站点,节点重要性的发展受到拓扑结构和客流变化的影响也不同。有必要结合实际情况进行具体分析。该研究揭示了节点重要性在URT网络发展中的演化机理,具有重要的理论和实践意义。

更新日期:2020-07-14
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