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- W2803872014 abstract "AboutSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack CitationsPermissionsReprints ShareShare onFacebookTwitterLinked InEmail Go to Section HomeINFORMS Journal on ComputingVol. 30, No. 2 A Dual Ascent-Based Branch-and-Bound Framework for the Prize-Collecting Steiner Tree and Related ProblemsMarkus Leitner , Ivana Ljubić , Martin Luipersbeck, Markus SinnlMarkus Leitner , Ivana Ljubić , Martin Luipersbeck, Markus SinnlPublished Online:25 May 2018https://doi.org/10.1287/ijoc.2017.0788AbstractWe present a branch-and-bound (B&B) framework for the asymmetric prize-collecting Steiner tree problem (APCSTP). Several well-known network design problems can be transformed to the APCSTP, including the Steiner tree problem (STP), prize-collecting Steiner tree problem (PCSTP), maximum-weight connected subgraph problem (MWCS), and node-weighted Steiner tree problem (NWSTP). The main component of our framework is a new dual ascent algorithm for the rooted APCSTP, which generalizes Wong’s dual ascent algorithm for the Steiner arborescence problem. The lower bounds and dual information obtained from the algorithm are exploited within powerful bound-based reduction tests and for guiding primal heuristics. The framework is complemented by additional alternative-based reduction tests. Extensive computational results on benchmark instances for the PCSTP, MWCS, and NWSTP indicate the framework’s effectiveness, as most instances from literature are solved to optimality within seconds, including most of the (previously unsolved) largest instances from the recent DIMACS Challenge on Steiner trees. Moreover, results on new asymmetric instances for the APCSTP are reported. Since the addressed network design problems are frequently used for modeling various real-world applications (e.g., in bioinformatics), the implementation of the presented B&B framework has been made publicly available.The online supplement is available at https://doi.org/10.1287/ijoc.2017.0788. Previous Back to Top FiguresReferencesRelatedInformationCited byCasting Light on the Hidden Bilevel Combinatorial Structure of the Capacitated Vertex Separator ProblemFurini Fabio, Ljubić Ivana, Malaguti Enrico, Paronuzzi Paolo16 September 2021 | Operations Research, Vol. 70, No. 4On the Exact Solution of Prize-Collecting Steiner Tree ProblemsDaniel Rehfeldt, Thorsten Koch6 October 2021 | INFORMS Journal on Computing, Vol. 34, No. 2Combinatorial Heuristics for Inventory Routing ProblemsZiye Tang, Yang Jiao, R. Ravi20 August 2021 | INFORMS Journal on Computing, Vol. 34, No. 1 Volume 30, Issue 2Spring 2018Pages 217-420 Article Information Supplemental Materials Metrics Information Received:June 03, 2016Accepted:September 04, 2017Published Online:May 25, 2018 Copyright © 2018, INFORMSCite asMarkus Leitner, Ivana Ljubić, Martin Luipersbeck, Markus Sinnl (2018) A Dual Ascent-Based Branch-and-Bound Framework for the Prize-Collecting Steiner Tree and Related Problems. INFORMS Journal on Computing 30(2):402-420. https://doi.org/10.1287/ijoc.2017.0788 KeywordsSteiner treesprize-collecting Steiner treesdual ascentreduction testsbranch-and-boundPDF download" @default.
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- W2803872014 title "A Dual Ascent-Based Branch-and-Bound Framework for the Prize-Collecting Steiner Tree and Related Problems" @default.
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