Some valid inequalities for the probabilistic minimum power multicasting problem

János Barta, Valeria Leggieri, Roberto Montemanni, Paolo Nobili*, Chefi Triki

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


In this paper we describe some results on the linear integer programming formulation of the Probabilistic Minimum Power Multicast (PMPM) problem for wireless networks. The PMPM problem consists in optimally assigning transmission powers to the nodes of a given network in order to establish a multihop connection between a source node and a set of destination nodes. The nodes are subject to failure with some probability, however the assignment should be made so that the reliability of the connection is above a given threshold level. This model reflects the necessity of taking into account the uncertainty of hosts' availability in a telecommunication network.

Original languageEnglish
Pages (from-to)463-470
Number of pages8
JournalElectronic Notes in Discrete Mathematics
Issue numberC
Publication statusPublished - Aug 2010
Externally publishedYes


  • Integer Programming
  • Minimum Power Multicasting
  • Multihop Networks
  • Probabilistic Mathematical Models

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


Dive into the research topics of 'Some valid inequalities for the probabilistic minimum power multicasting problem'. Together they form a unique fingerprint.

Cite this