Overview Statistic: PDF-Downloads (blue) and Frontdoor-Views (gray)
  • Treffer 7 von 7
Zurück zur Trefferliste

Reduction Techniques for the Prize-Collecting Steiner Tree Problem and the Maximum-Weight Connected Subgraph Problem

Zitieren Sie bitte immer diese URN: urn:nbn:de:0297-zib-60420
  • The concept of reduction has frequently distinguished itself as a pivotal ingredient of exact solving approaches for the Steiner tree problem in graphs. In this paper we broaden the focus and consider reduction techniques for three Steiner problem variants that have been extensively discussed in the literature and entail various practical applications: The prize-collecting Steiner tree problem, the rooted prize-collecting Steiner tree problem and the maximum-weight connected subgraph problem. By introducing and subsequently deploying numerous new reduction methods, we are able to drastically decrease the size of a large number of benchmark instances, already solving more than 90 percent of them to optimality. Furthermore, we demonstrate the impact of these techniques on exact solving, using the example of the state-of-the-art Steiner problem solver SCIP-Jack.
Metadaten
Verfasserangaben:Daniel RehfeldtORCiD, Thorsten KochORCiD, Stephen J. Maher
Dokumentart:ZIB-Report
Freies Schlagwort / Tag:Steiner tree problems; maximum-weight connected subgraph problem; prize-collecting Steiner tree problem; reduction techniques
MSC-Klassifikation:90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING
CCS-Klassifikation:D. Software
Datum der Erstveröffentlichung:23.09.2016
Schriftenreihe (Bandnummer):ZIB-Report (16-47)
ISSN:1438-0064
DOI:https://doi.org/10.1002/net.21857
Accept ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.