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Heuristics for the network design problem with connectivity requirements

Author

Listed:
  • Roman E. Shangin

    (South Ural State University)

  • Panos Pardalos

    (University of Florida)

Abstract

We consider the NP-complete problem of finding a spanning $$k$$ k -tree of minimum weight in a complete weighted graph. This problem has a number of applications in designing reliable backbone telecommunication networks. We propose effective algorithms based on a greedy strategy and several variable neighborhood search metaheuristics. We also develop an integer linear programming model for calculating a lower bound. Preliminary numerical experiments using random and real-word data sets are reported to show the effectiveness of our approach. In addition, we compare our approach with known metaheuristics.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jcomop:v:31:y:2016:i:4:d:10.1007_s10878-015-9834-5
    DOI: 10.1007/s10878-015-9834-5
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    References listed on IDEAS

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    1. Abdullah Konak & Alice E. Smith, 2011. "Efficient Optimization of Reliable Two-Node Connected Networks: A Biobjective Approach," INFORMS Journal on Computing, INFORMS, vol. 23(3), pages 430-445, August.
    2. 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.
    3. Berna Dengiz & Fulya Altiparmak & Onder Belgin, 2010. "Design of reliable communication networks: A hybrid ant colony optimization algorithm," IISE Transactions, Taylor & Francis Journals, vol. 42(4), pages 273-287.
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    Cited by:

    1. Kai Yang & Cong Tian & Nan Zhang & Zhenhua Duan & Hongwei Du, 2019. "A temporal logic programming approach to planning," Journal of Combinatorial Optimization, Springer, vol. 38(2), pages 402-420, August.

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