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Solving minimum-cost shared arborescence problems

Author

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  • Álvarez-Miranda, Eduardo
  • Ljubić, Ivana
  • Luipersbeck, Martin
  • Sinnl, Markus

Abstract

In this work, we consider the minimum-cost shared Steiner arborescence problem (SStA). In this problem, the goal is to find a minimum-cost subgraph, which is shared among multiple entities and each entity is able to establish a cost-efficient Steiner arborescence. The SStA has been recently used in the literature to establish shared functional modules in protein-protein interaction networks.

Suggested Citation

  • Álvarez-Miranda, Eduardo & Ljubić, Ivana & Luipersbeck, Martin & Sinnl, Markus, 2017. "Solving minimum-cost shared arborescence problems," European Journal of Operational Research, Elsevier, vol. 258(3), pages 887-901.
    • Handle: RePEc:eee:ejores:v:258:y:2017:i:3:p:887-901
    DOI: 10.1016/j.ejor.2016.11.004
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    References listed on IDEAS

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    1. Álvarez-Miranda, Eduardo & Fernández, Elena & Ljubić, Ivana, 2015. "The recoverable robust facility location problem," Transportation Research Part B: Methodological, Elsevier, vol. 79(C), pages 93-120.
    2. Dale McDaniel & Mike Devine, 1977. "A Modified Benders' Partitioning Algorithm for Mixed Integer Programming," Management Science, INFORMS, vol. 24(3), pages 312-319, November.
    3. Fischetti, Matteo & Ljubić, Ivana & Sinnl, Markus, 2016. "Benders decomposition without separability: A computational study for capacitated facility location problems," European Journal of Operational Research, Elsevier, vol. 253(3), pages 557-569.
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    Cited by:

    1. Ritt, Marcus & Pereira, Jordi, 2020. "Heuristic and exact algorithms for minimum-weight non-spanning arborescences," European Journal of Operational Research, Elsevier, vol. 287(1), pages 61-75.
    2. Çalık, Hatice & Fortz, Bernard, 2019. "A Benders decomposition method for locating stations in a one-way electric car sharing system under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 125(C), pages 121-150.

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