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Issue No.12 - Dec. (2012 vol.11)

pp: 2008-2019

Di Yuan , Linkoping University, Norrkoping

Dag Haugland , University of Bergen, Bergen

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TMC.2011.231

ABSTRACT

We consider the problem of constructing a shared broadcast tree (SBT) in wireless networks, such that the total power required for supporting broadcast initiated by all source nodes is minimal. In the well-studied minimum-energy broadcast (MEB) problem, the optimal tree varies by source. In contrast, SBT is source-independent, thus substantially reducing the overhead for information storage and processing. The SBT problem also differs from the range assignment problem (RAP), because the power for message forwarding in SBT, although being source-independent, depends on from which tree neighbor the message is received. We approach SBT from a computational optimization standpoint, and present a dual decomposition method applied to an optimization model that embeds multiple directed trees into a shared tree. For the dual decomposition method, some of the constraints in the model are preferably formulated implicitly. The dual decomposition scheme is coupled with a fast local search algorithm. We report computational results demonstrating the effectiveness of the proposed approach. In average, the performance gap to global optimality is less than three percent.

INDEX TERMS

Mathematical model, Wireless networks, Computational modeling, Optimization, Mathematical programming, Broadcasting, dual decomposition, Shared broadcast tree, wireless networks, discrete optimization

CITATION

Di Yuan, Dag Haugland, "Dual Decomposition for Computational Optimization of Minimum-Power Shared Broadcast Tree in Wireless Networks",

*IEEE Transactions on Mobile Computing*, vol.11, no. 12, pp. 2008-2019, Dec. 2012, doi:10.1109/TMC.2011.231REFERENCES