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

Roberto Montemanni, Valeria Leggieri, Chefi Triki

Research output: Contribution to journalArticle

10 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)578-585
Number of pages8
JournalEuropean Journal of Operational Research
Volume190
Issue number2
DOIs
Publication statusPublished - Oct 16 2008

Fingerprint

Broadcasting
Power transmission
broadcast
Broadcast
Wireless Networks
Wireless networks
energy
Integer
Formulation
Energy
Linear programming
broadcasting
Vertex of a graph
Mixed Integer Linear Programming
Assign
Computational Results
programming
Dependent
Node

Keywords

  • Ad-Hoc networks
  • Minimum energy broadcasting
  • Mixed integer linear programming

ASJC Scopus subject areas

  • Information Systems and Management
  • Management Science and Operations Research
  • Statistics, Probability and Uncertainty
  • Applied Mathematics
  • Modelling and Simulation
  • Transportation

Cite this

Mixed integer formulations for the probabilistic minimum energy broadcast problem in wireless networks. / Montemanni, Roberto; Leggieri, Valeria; Triki, Chefi.

In: European Journal of Operational Research, Vol. 190, No. 2, 16.10.2008, p. 578-585.

Research output: Contribution to journalArticle

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