Cheapest Paths in Public Transport: Properties and Algorithms

Autor: Schöbel, Anita, Urban, Reena
Jazyk: angličtina
Rok vydání: 2020
Předmět:
DOI: 10.4230/oasics.atmos.2020.13
Popis: When determining the paths of the passengers in public transport, the travel time is usually the main criterion. However, also the ticket price a passenger has to pay is a relevant factor for choosing the path. The ticket price is also relevant for simulating the minimum income a public transport company can expect. However, finding the correct price depends on the fare system used (e.g., distance tariff, zone tariff with different particularities, application of a short-distance tariff, etc.) and may be rather complicated even if the path is already fixed. An algorithm which finds a cheapest path in a very general case has been provided in [R. Euler and R. Borndörfer, 2019], but its running time is exponential. In this paper, we model and analyze different fare systems, identify important properties they may have and provide polynomial algorithms for computing a cheapest path.
OASIcs, Vol. 85, 20th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2020), pages 13:1-13:16
Databáze: OpenAIRE