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

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.