基于站点线路数的城市公交网络鲁棒性研究

Study on the Robustness of Urban Bus Network Based on the Number of Lines at a Station

  • 摘要: 以成都、重庆、昆明、贵阳和拉萨的公交站点网络为例,研究了节点依据站点线路数(途经某车站的公交线路总数)失效后网络的鲁棒性,并将所得结果与随机失效、度值选择性失效和介数值选择性失效进行了比较。首先分析了网络的拓扑特性;然后研究了不同节点失效方式下网络的静态鲁棒性;最后基于负载−容量级联失效模型,研究了网络的动态鲁棒性。结果显示:1) 各城市累积度分布和累积站点线路数分布近似服从指数分布;2) 公交站点网络的静态鲁棒性与网络的拓扑结构密切相关,累积度分布的指数越大,度值选择性失效下的网络越脆弱;3) 与静态鲁棒性的结果相反,在考虑级联失效时,动态度值选择性失效对网络的破坏性弱于静态度值选择性失效。

     

    Abstract: Take Chongqing, Chengdu, Kunming, Guiyang and Lhasa for examples, bus stop network robustness is studied when the nodes fail based on the number of lines at a station. The results are compared with the widely studied random failure, degree-based attack and betweenness-based attack. It includes the following three aspects: network topological characteristics analysis, static robustness analysis under different nodes failure modes, and dynamic robustness analysis based on the load-capacity cascading failure model. The results show: 1) the cumulative degree distribution and the cumulative distribution of the number of lines at a station in each city approximately obey the exponential distribution; 2) the static robustness of the bus stop network is closely related to the network topological characteristics, the greater exponent of the cumulative degree distribution, the worse the robustness on the network under degree-based attack; 3) in contrary to results of static robustness, the destructive to the network in dynamic degree-based attack is less than that in static degree-based attack when cascading failure is considered.

     

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