Accelerating Time-Dependent Multi-Criteria Timetable Information is Harder Than Expected

Authors Annabell Berger, Daniel Delling, Andreas Gebhardt, Matthias Müller-Hannemann



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OASIcs.ATMOS.2009.2148.pdf
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Annabell Berger
Daniel Delling
Andreas Gebhardt
Matthias Müller-Hannemann

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Annabell Berger, Daniel Delling, Andreas Gebhardt, and Matthias Müller-Hannemann. Accelerating Time-Dependent Multi-Criteria Timetable Information is Harder Than Expected. In 9th Workshop on Algorithmic Approaches for Transportation Modeling, Optimization, and Systems (ATMOS'09). Open Access Series in Informatics (OASIcs), Volume 12, pp. 1-21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)
https://doi.org/10.4230/OASIcs.ATMOS.2009.2148

Abstract

Speeding up multi-criteria search in real timetable information systems remains a challenge in spite of impressive progress achieved in recent years for related problems in road networks. Our goal is to perform multi-criteria range queries, that is, to find all Pareto-optimal connections with respect to travel time and number of transfers within a given start time interval. This problem can be modeled as a path search problem in a time- and event-dependent graph. In this paper, we investigate two key speed-up techniques for a multi-criteria variant of \textsc{Dijkstra}'s algorithm --- arc flags and contraction --- which seem to be strong candidates for railway networks, too. We describe in detail how these two techniques have to be adapted for a multi-criteria scenario and explain why we can expect only marginal speed-ups (compared to observations in road networks) from a direct implementation. Based on these insights we extend traditional arc-flags to \emph{time-period flags} and introduce \emph{route contraction} as a substitute for node contraction. A computational study on real queries demonstrates that these techniques combined with goal-directed search lead to a speed-up of factor 13.08 over the baseline variant for range queries for a full day.
Keywords
  • Timetable information
  • multi-criteria search
  • time-dependent networks
  • arc flags
  • contraction Timetable information
  • multi-criteria search
  • time-dependent networks
  • arc flags
  • contraction

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