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Mixed integer formulations for the probabilistic minimum energy broadcast problem in wireless networks

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  • Montemanni, Roberto
  • Leggieri, Valeria
  • Triki, Chefi

Abstract

In this paper we study a new variant of the minimum energy broadcast (MEB) problem, namely the probabilistic MEB (PMEB). The objective of the classic MEB problem is to assign transmission powers to the nodes of a wireless network is such a way that the total energy dissipated on the network is minimized, while a connected broadcasting structure is guaranteed by the assigned transmission powers. In the new variant of the problem treated in this paper, node failure is taken into account, aiming at providing solutions with a chosen reliability level for the broadcasting structure. Three mixed integer linear programming formulations for the new problem are presented, together with efficient formulation-dependent methods for their solution. Computational results are proposed and discussed. One method emerges as the most promising one under realistic settings. It is able to handle problems with up to fifty nodes.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:190:y:2008:i:2:p:578-585
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    Cited by:

    1. Brazil, M. & Ras, C.J. & Thomas, D.A., 2014. "A geometric characterisation of the quadratic min-power centre," European Journal of Operational Research, Elsevier, vol. 233(1), pages 34-42.
    2. 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.
    3. 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.
    4. Xia, Li & Shihada, Basem, 2015. "A Jackson network model and threshold policy for joint optimization of energy and delay in multi-hop wireless networks," European Journal of Operational Research, Elsevier, vol. 242(3), pages 778-787.

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