The examination of the robustness of transportation networks holds considerable importance in safeguarding network stability in the face of potential threats. However, previous studies have primarily focused on assessing the robustness of individual railway or aviation networks at a single layer for a long-distance traveling. Indeed, the demonstration of the interconnected robustness of a bilayer network that combines railway and aviation systems is approaching a state of actualization. In this study, the robustness of single-layer railway, aviation, and bilayer railway-aviation networks were assessed and compared, taking into account the interaction effects of various transportation modes in response to multiple attack scenarios. Several interesting patterns of bilayer transportation network robustness were discovered, such as the weak robustness to intentional attacks and node removals, the comparable average robustness combined with high heterogeneity against localized attacks, and other findings. Furthermore, the robustness patterns can be effectively explained by the proposed node/edge betweenness indicators.

面对潜在威胁时，检查交通网络的稳健性对于维护网络稳定性具有相当重要的意义。然而，之前的研究主要集中在评估单层单个铁路或航空网络对于长途旅行的鲁棒性。事实上，结合铁路和航空系统的双层网络的互连稳健性的演示已接近实现状态。本研究评估和比较了单层铁路、航空和双层铁航网络的鲁棒性，并考虑了各种运输方式在应对多种攻击场景时的相互作用影响。发现了双层传输网络鲁棒性的一些有趣模式，例如对故意攻击和节点删除的弱鲁棒性、可比较的平均鲁棒性与针对局部攻击的高异质性相结合，以及其他发现。此外，鲁棒性模式可以通过所提出的节点/边介数指标来有效解释。