The passengers of railway transport systems occasionally need to deal with disruptions. In such situations, perfect information, for example about the duration of the disruption, is usually not available. As a result, passengers need to make decisions on the continuation of their journey in a highly uncertain context. In this paper, we introduce the passenger waiting problem, which allows us to analyze whether a passenger should wait for a disruption to resolve or start traveling along a detour. We present an implementation of our approach that runs efficiently on modern smartphones and apply it to a number of illustrative examples inspired by realistic situations.
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