论文标题

Q-Weibull分布描述商业服务路线

q-Weibull distributions describing commercial service routes

论文作者

Ferreira, Ronan S., da Silva, Priscila C. A.

论文摘要

我们对巴西的道路运输方式进行了调查,结合了复杂网络和真实数据的工具。我们的分析涉及基于巴西运输机构数据库中刻有的服务路线的数据集。尽管通常按照幂律时尚所描述的是全球道路网络的连通性分布,但我们报告说,Q-Weibull分布提供的巴西案件更适合。在我们的方法节点中,节点扮演着地方的作用,而链接代表其中的服务路线。有趣的是,对于传出连接数量的特定范围,在数据分布的尾部发生了快速下降。通过研究网络的频谱中心性以及用于传入和外向分布的不同模式,通过研究网络的光谱中心和不同模式来揭示了导致该下降的机制。除了讨论电力法说明外,我们还报告了与两个不同分布的对比。它们由Q-Weibull One插值:Weibull和Q-Expentials分布。此外,我们研究了该网络的互惠,这反映了相互联系对动态过程的影响。对于人类流动性,运输和多模式观点的研究,这种分析是必不可少的。

We present an investigation of the mode of road transport in Brazil combining tools of complex networks and real-data. Our analysis involves a data-set based on the service routes inscribed on the Brazilian Transport Agency database. Although connectivity distributions of road networks worldwide are usually claimed as described by a power-law fashion, we report a better fit for the Brazilian case offered by the q-Weibull distribution. In our approach nodes assume the role of localities, whereas links represent service routes among them. Interestingly, a rapid drop takes place on the tail of the data distribution for a particular range of the number of outgoing connections. The mechanism responsible for driving this drop is revealed by investigating the spectral centrality of the network and different patterns of disassortative mixture, for both incoming and outgoing distributions. Besides a discussion about a power law description, we report a contrast with two different distributions. They are interpolated by the q-Weibull one: the Weibull and the q-exponential distributions. Moreover, we study the reciprocity of this network, which reflects the influence of mutual links over dynamical processes. This kind of analysis is indispensable for studies on human mobility, shipping, and a multi-modal perspective.

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