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Exact approaches for solving robust prize-collecting Steiner tree problems

Author

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  • Álvarez-Miranda, Eduardo
  • Ljubić, Ivana
  • Toth, Paolo

Abstract

In the Prize-Collecting Steiner Tree Problem (PCStT) we are given a set of customers with potential revenues and a set of possible links connecting these customers with fixed installation costs. The goal is to decide which customers to connect into a tree structure so that the sum of the link costs plus the revenues of the customers that are left out is minimized. The problem, as well as some of its variants, is used to model a wide range of applications in telecommunications, gas distribution networks, protein–protein interaction networks, or image segmentation.

Suggested Citation

  • Álvarez-Miranda, Eduardo & Ljubić, Ivana & Toth, Paolo, 2013. "Exact approaches for solving robust prize-collecting Steiner tree problems," European Journal of Operational Research, Elsevier, vol. 229(3), pages 599-612.
    • Handle: RePEc:eee:ejores:v:229:y:2013:i:3:p:599-612
    DOI: 10.1016/j.ejor.2013.03.037
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    References listed on IDEAS

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    1. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    2. Oğuz Solyalı & Jean-François Cordeau & Gilbert Laporte, 2012. "Robust Inventory Routing Under Demand Uncertainty," Transportation Science, INFORMS, vol. 46(3), pages 327-340, August.
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    Cited by:

    1. Alibeyg, Armaghan & Contreras, Ivan & Fernández, Elena, 2016. "Hub network design problems with profits," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 96(C), pages 40-59.
    2. Pedersen, Jaap & Weinand, Jann Michael & Syranidou, Chloi & Rehfeldt, Daniel, 2024. "An efficient solver for large-scale onshore wind farm siting including cable routing," European Journal of Operational Research, Elsevier, vol. 317(2), pages 616-630.
    3. Markus Leitner & Ivana Ljubić & Markus Sinnl, 2015. "A Computational Study of Exact Approaches for the Bi-Objective Prize-Collecting Steiner Tree Problem," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 118-134, February.
    4. Roman E. Shangin & Panos Pardalos, 2016. "Heuristics for the network design problem with connectivity requirements," Journal of Combinatorial Optimization, Springer, vol. 31(4), pages 1461-1478, May.

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