Ensuring the robustness of bus networks is essential for delivering reliable and efficient mobility services to passengers. This paper addresses the challenge of assessing the robustness of on-demand bus networks, which are characterised by uncertain topology. We propose a framework based on a random multilayer bus network, from which we develop four topological metrics to quantify network robustness. Additionally, we conduct network attack simulations to derive simulation-based robustness indicators, which are acknowledged as golden rules in robustness measurements. Correlation analysis between the proposed metrics reveals a positive relationship between the topological properties and network robustness, validating the effectiveness of the topological metrics in assessing the robustness of networks with uncertain topology. This study fills a gap in the existing literature by providing a robustness analysis framework specifically tailored to on-demand bus networks, contributing to the design of more resilient on-demand bus systems.
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