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We study the problem of planning Pareto-optimal journeys in public transit networks. Most existing algorithms and speed-up techniques work by computing subjourneys to intermediary stops until the destination is reached. In contrast, the…

Data Structures and Algorithms · Computer Science 2016-09-16 Sascha Witt

We study the problem of computing all Pareto-optimal journeys in a public transit network regarding the two criteria of arrival time and number of transfers taken. We take a novel approach, focusing on trips and transfers between them,…

Data Structures and Algorithms · Computer Science 2016-07-06 Sascha Witt

Routing algorithms for public transport, particularly the widely used RAPTOR and its variants, often face performance bottlenecks during the transfer relaxation phase, especially on dense transfer graphs, when supporting unlimited…

Data Structures and Algorithms · Computer Science 2026-05-27 Andrii Rohovyi , Abdallah Abuaisha , Toby Walsh

We present Arc-Flag TB, a journey planning algorithm for public transit networks which combines Trip-Based Public Transit Routing (TB) with the Arc-Flags speedup technique. Compared to previous attempts to apply Arc-Flags to public transit…

Data Structures and Algorithms · Computer Science 2023-02-15 Ernestine Großmann , Jonas Sauer , Christian Schulz , Patrick Steil

We study the problem of computing all Pareto-optimal journeys in a public transit network regarding the two criteria of arrival time and number of transfers taken. In recent years, great advances have been made in making public transit…

Data Structures and Algorithms · Computer Science 2021-09-30 Sascha Witt

Urban rail transit is a fundamental component of public transportation, however, commonly station-based path search algorithms often overlook the impact of transfer times on search results, leading to decreased accuracy. To solve this…

Computational Engineering, Finance, and Science · Computer Science 2024-03-05 Xiao Fang , Xuyang Song , Jiyuan Ma , Guanhua Liu , Shurong Pang , Wenbo Zhao , Cong Cao , Ling Fan

Public transport routing plays a crucial role in transit network design, ensuring a satisfactory level of service for passengers. However, current routing solutions rely on traditional operational research heuristics, which can be…

Artificial Intelligence · Computer Science 2023-08-25 Nadav Shalit , Michael Fire , Dima Kagan , Eran Ben-Elia

We study journey planning in multimodal networks consisting of public transit plus an unrestricted transfer mode (e.g., walking or cycling). In order to provide good results in practice, algorithms must account for vehicle delays.…

Data Structures and Algorithms · Computer Science 2023-11-07 Dominik Bez , Jonas Sauer

This paper proposes multiple extensions to the popular bicriterion transit routing approach -- Trip-Based Transit Routing (TBTR). Specifically, building on the premise of the HypRAPTOR algorithm, we first extend TBTR to its partitioning…

Data Structures and Algorithms · Computer Science 2022-03-01 Prateek Agarwal , Tarun Rambha

We study the journey planning problem in public transit networks. Developing efficient preprocessing-based speedup techniques for this problem has been challenging: current approaches either require massive preprocessing effort or provide…

Data Structures and Algorithms · Computer Science 2015-05-07 Daniel Delling , Julian Dibbelt , Thomas Pajor , Renato F. Werneck

We present FLASH-TB, a journey planning algorithm for public transit networks that combines Trip-Based Public Transit Routing (TB) with the Arc-Flags speedup technique. The basic idea is simple: The network is partitioned into a…

Data Structures and Algorithms · Computer Science 2025-10-10 Ernestine Großmann , Jonas Sauer , Christian Schulz , Patrick Steil , Sascha Witt

We survey recent advances in algorithms for route planning in transportation networks. For road networks, we show that one can compute driving directions in milliseconds or less even at continental scale. A variety of techniques provide…

Data Structures and Algorithms · Computer Science 2015-04-21 Hannah Bast , Daniel Delling , Andrew Goldberg , Matthias Müller-Hannemann , Thomas Pajor , Peter Sanders , Dorothea Wagner , Renato F. Werneck

We study a multimodal journey planning scenario consisting of a public transit network and a transfer graph which represents a secondary transportation mode (e.g., walking, cycling, e-scooter). The objective is to compute Pareto-optimal…

Data Structures and Algorithms · Computer Science 2023-02-02 Moritz Baum , Valentin Buchhold , Jonas Sauer , Dorothea Wagner , Tobias Zündorf

We study the journey planning problem for multimodal networks consisting of public transit and a non-schedule-based transfer mode (e.g., walking, bicycle, e-scooter). So far, all efficient algorithms for this problem either restrict usage…

Data Structures and Algorithms · Computer Science 2021-10-26 Moritz Potthoff , Jonas Sauer

Line planning in public transport is the strategic problem of selecting lines and their operating frequencies. This problem is important as it defines the passenger service, based on available connections and expected travel times, and…

A novel approach to integrated ground and air public transport journey planning, operating at continent scale. Flexible date search, prerequisite for long distance trips given their typical low and irregular service frequencies, is core…

Other Computer Science · Computer Science 2016-01-15 Joris van der Geer

Transit Node Routing (TNR) is a fast and exact distance oracle for road networks. We show several new results for TNR. First, we give a surprisingly simple implementation fully based on Contraction Hierarchies that speeds up preprocessing…

Data Structures and Algorithms · Computer Science 2013-02-25 Julian Arz , Dennis Luxen , Peter Sanders

Faster pathfinding in time-dependent transport networks is an important and challenging problem in navigation systems. There are two main types of transport networks: road networks for car driving and public transport route network. The…

Data Structures and Algorithms · Computer Science 2024-10-24 Andrii Rohovyi , Peter J. Stuckey , Toby Walsh

We introduce an improved algorithm for the dynamic taxi sharing problem, i.e. a dispatcher that schedules a fleet of shared taxis as it is used by services like UberXShare and Lyft Shared. We speed up the basic online algorithm that looks…

Data Structures and Algorithms · Computer Science 2023-11-06 Moritz Laupichler , Peter Sanders

Representing the movements of objects (trips) over a network in a compact way while retaining the capability of exploiting such data effectively is an important challenge of real applications. We present a new Compact Trip Representation…

Data Structures and Algorithms · Computer Science 2019-01-01 Nieves R. Brisaboa , Antonio Fariña , Daniil Galaktionov , M. Andrea Rodriguez
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