Skip to main content
Top

2015 | OriginalPaper | Chapter

Computational Comparison of Algorithms for a Generalization of the Node-Weighted Steiner Tree and Forest Problems

Authors : Raul Brás, J. Orestes Cerdeira

Published in: Operational Research

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Habitat fragmentation is a serious threat for the sustainability of species. Thus, the identification of effective linkages to connect valuable ecological units is an important issue in conservation biology. The design of effective linkages should take into account that areas which are adequately permeable for some species’ dispersal may act as obstructions for other species. The determination of minimum cost effective linkages is a generalization of both node-weighted Steiner tree and node-weighted Steiner forest problems. We compare the performance of different procedures for this problem using large real and simulated instances.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Alagador, D., Triviño, M., Cerdeira, J.O., Brás, R., Cabeza, M., Araújo, M.B.: Linking like with like: optimizing connectivity between environmentally-similar habitats. Landsc. Ecol. 27(2), 291–301 (2012)CrossRef Alagador, D., Triviño, M., Cerdeira, J.O., Brás, R., Cabeza, M., Araújo, M.B.: Linking like with like: optimizing connectivity between environmentally-similar habitats. Landsc. Ecol. 27(2), 291–301 (2012)CrossRef
3.
go back to reference Brás, R., Cerdeira, J.O., Alagador, D., Araújo, M.B.: Linking habitats for multiple species. Env. Model. Softw. 40, 336–339 (2013)CrossRef Brás, R., Cerdeira, J.O., Alagador, D., Araújo, M.B.: Linking habitats for multiple species. Env. Model. Softw. 40, 336–339 (2013)CrossRef
4.
go back to reference Brooks, T.M., Mittermeier, R.A., Mittermeier, C.G., Rylands, A.B., da Fonseca, G.A.B., Konstant, W.R., Flick, P., Pilgrim, J., Oldfield, S., Magin, G., Hilton-Taylor, C.: Habitat loss and extinction in the hotspots of biodiversity. Conserv. Biol. 16, 909–923 (2002)CrossRef Brooks, T.M., Mittermeier, R.A., Mittermeier, C.G., Rylands, A.B., da Fonseca, G.A.B., Konstant, W.R., Flick, P., Pilgrim, J., Oldfield, S., Magin, G., Hilton-Taylor, C.: Habitat loss and extinction in the hotspots of biodiversity. Conserv. Biol. 16, 909–923 (2002)CrossRef
5.
go back to reference Demaine, E., Hajiaghayi, M., Klein, P.: Node-weighted steiner tree and group steiner tree in planar graphs. In: Albers, S., et al. (eds.) Automata, Languages and Programming. Lecture Notes in Computer Science, vol. 5555, pp. 328–340. Springer, Berlin/Heidelberg (2009)CrossRef Demaine, E., Hajiaghayi, M., Klein, P.: Node-weighted steiner tree and group steiner tree in planar graphs. In: Albers, S., et al. (eds.) Automata, Languages and Programming. Lecture Notes in Computer Science, vol. 5555, pp. 328–340. Springer, Berlin/Heidelberg (2009)CrossRef
10.
go back to reference Hanski, I.: The Shrinking World: Ecological Consequences of Habitat Loss. Excellence in Ecology, vol. 14. International Ecology Institute, Oldendorf/Luhe (2005) Hanski, I.: The Shrinking World: Ecological Consequences of Habitat Loss. Excellence in Ecology, vol. 14. International Ecology Institute, Oldendorf/Luhe (2005)
11.
go back to reference Klein, P., Ravi, R.: A nearly best-possible approximation algorithm for node-weighted Steiner trees. J. Algorithms 19(1), 104–115 (1995)MATHMathSciNetCrossRef Klein, P., Ravi, R.: A nearly best-possible approximation algorithm for node-weighted Steiner trees. J. Algorithms 19(1), 104–115 (1995)MATHMathSciNetCrossRef
13.
go back to reference Lai, K.J., Gomes, C.P., Schwartz, M.K., McKelvey, K.S., Calkin, D.E., Montgomery, C.A.: The Steiner multigraph problem: wildlife corridor design for multiple species. In: Proceedings of the Twenty-Fifth AAAI Conference on Artificial Intelligence, vol. 2, pp. 1357–1364 (2011) Lai, K.J., Gomes, C.P., Schwartz, M.K., McKelvey, K.S., Calkin, D.E., Montgomery, C.A.: The Steiner multigraph problem: wildlife corridor design for multiple species. In: Proceedings of the Twenty-Fifth AAAI Conference on Artificial Intelligence, vol. 2, pp. 1357–1364 (2011)
14.
go back to reference Magnanti, T.L., Raghavan, S.: Strong formulations for network design problems with connectivity requirements. Networks 45(2), 61–79 (2005)MATHMathSciNetCrossRef Magnanti, T.L., Raghavan, S.: Strong formulations for network design problems with connectivity requirements. Networks 45(2), 61–79 (2005)MATHMathSciNetCrossRef
15.
go back to reference Merriam, G.: Connectivity: a fundamental ecological characteristic of landscape pattern. In: Brandt, J., Agger, P. (eds.) Proceedings of the 1st International Seminar on Methodology in Landscape Ecological Research and Planning, pp. 5–15. Roskilde University, Denmark (1984) Merriam, G.: Connectivity: a fundamental ecological characteristic of landscape pattern. In: Brandt, J., Agger, P. (eds.) Proceedings of the 1st International Seminar on Methodology in Landscape Ecological Research and Planning, pp. 5–15. Roskilde University, Denmark (1984)
16.
go back to reference Rayward-Smith, V.J.: The computation of nearly minimal Steiner trees in graphs. Int. J. Math. Educ. Sci. Technol. 14(1), 15–23 (1983)MATHMathSciNetCrossRef Rayward-Smith, V.J.: The computation of nearly minimal Steiner trees in graphs. Int. J. Math. Educ. Sci. Technol. 14(1), 15–23 (1983)MATHMathSciNetCrossRef
19.
go back to reference Siek, J.G., Lee, L., Lumsdaine, A.: The Boost Graph Library: User Guide and Reference Manual. Addison-Wesley Longman, Boston (2002) Siek, J.G., Lee, L., Lumsdaine, A.: The Boost Graph Library: User Guide and Reference Manual. Addison-Wesley Longman, Boston (2002)
21.
go back to reference Wong, R.: A dual ascent approach for Steiner tree problems on a directed graph. Math. Progr. 28, 271–287 (1984)MATHCrossRef Wong, R.: A dual ascent approach for Steiner tree problems on a directed graph. Math. Progr. 28, 271–287 (1984)MATHCrossRef
Metadata
Title
Computational Comparison of Algorithms for a Generalization of the Node-Weighted Steiner Tree and Forest Problems
Authors
Raul Brás
J. Orestes Cerdeira
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-20328-7_5