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Minimum power multicasting problem in wireless networks

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  • Valeria Leggieri
  • Paolo Nobili
  • Chefi Triki

Abstract

In this paper we deal with the minimum power multicasting (MPM) problem in wireless ad-hoc networks. By using an appropriate choice of the decision variables and by exploiting the topological properties of the problem, we are able to define an original formulation based on a Set Covering model. Moreover, we propose for its solution two exact procedures that include a preprocessing technique that reduces the huge number of the model’s constraints. We also report some experimental results carried out on a set of randomly generated test problems. Copyright Springer-Verlag 2008

Suggested Citation

  • Valeria Leggieri & Paolo Nobili & Chefi Triki, 2008. "Minimum power multicasting problem in wireless networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 68(2), pages 295-311, October.
    • Handle: RePEc:spr:mathme:v:68:y:2008:i:2:p:295-311
    DOI: 10.1007/s00186-008-0222-0
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    References listed on IDEAS

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    1. Montemanni, Roberto & Leggieri, Valeria & Triki, Chefi, 2008. "Mixed integer formulations for the probabilistic minimum energy broadcast problem in wireless networks," European Journal of Operational Research, Elsevier, vol. 190(2), pages 578-585, October.
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    Cited by:

    1. Rossi, André & Aubry, Alexis & Jacomino, Mireille, 2012. "Connectivity-and-hop-constrained design of electricity distribution networks," European Journal of Operational Research, Elsevier, vol. 218(1), pages 48-57.
    2. Xiangyong Li & Y. P. Aneja, 2012. "A Branch-and-Cut Approach for the Minimum-Energy Broadcasting Problem in Wireless Networks," INFORMS Journal on Computing, INFORMS, vol. 24(3), pages 443-456, August.
    3. R. Montemanni & V. Leggieri, 2011. "A branch and price algorithm for the minimum power multicasting problem in wireless sensor networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(3), pages 327-342, December.
    4. János Barta & Valeria Leggieri & Roberto Montemanni & Paolo Nobili & Chefi Triki, 2011. "Minimum power multicasting in wireless networks under probabilistic node failures," Computational Optimization and Applications, Springer, vol. 49(1), pages 193-212, May.
    5. Marika Ivanova & Dag Haugland, 2019. "Integer programming formulations for the shared multicast tree problem," Journal of Combinatorial Optimization, Springer, vol. 38(3), pages 927-956, October.

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    Keywords

    Multicast problem; Set Covering problem;

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