Optimal FIFO grouping in public transit networks

08/12/2023

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by   Patrick Steil, et al.

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This technical report is about grouping vehicles (so-called trips) in public transport into routes so that two vehicles of a route do not overtake each other. We say that such a set of routes satisfies the FIFO property. A natural question is: Given a set of trips, find a minimal FIFO grouping into routes. This question is especially interesting for route planning algorithms since a better route grouping leads to a better runtime. This contribution is structured as follows: First, all necessary details are formalised and defined, and then the algorithmic complexity of this problem is explained and proven.