Vertex Disjoint Paths for Dispatching in Railways

Flier, Holger; Mihalák, Matús; Schöbel, Anita; Widmayer, Peter; Zych, Anna

doi:10.4230/OASIcs.ATMOS.2010.61

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Vertex Disjoint Paths for Dispatching in Railways

Authors Holger Flier, Matús Mihalák, Anita Schöbel, Peter Widmayer, Anna Zych

Part of: Volume: 10th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS'10) (ATMOS 2010)
Part of: Series: Open Access Series in Informatics (OASIcs)
Part of: Conference: Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS)
License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license
Publication Date: 2010-09-01

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Document Identifiers

DOI: 10.4230/OASIcs.ATMOS.2010.61
URN: urn:nbn:de:0030-drops-27508

Subject Classification

Keywords

algorithms
approximation
complexity
graph theory
railways
routing
transportation

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Abstract

We study variants of the vertex disjoint paths problem in planar graphs where paths have to be selected from a given set of paths. We study the problem as a decision, maximization, and routing-in-rounds problem. Although all considered variants are NP-hard in planar graphs, restrictions on the location of the terminals, motivated by railway applications, lead to polynomially solvable cases for the decision and maximization versions of the problem, and to a $p$-approximation algorithm for the routing-in-rounds problem, where $p$ is the maximum number of alternative paths for a terminal pair.

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Holger Flier, Matús Mihalák, Anita Schöbel, Peter Widmayer, and Anna Zych. Vertex Disjoint Paths for Dispatching in Railways. In 10th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS'10). Open Access Series in Informatics (OASIcs), Volume 14, pp. 61-73, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010) https://doi.org/10.4230/OASIcs.ATMOS.2010.61

Author Details

Holger Flier

Matús Mihalák

Anita Schöbel

Peter Widmayer

Anna Zych

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