Title
On the Convergence and Optimality of Reweighted Message Passing for Channel Assignment Problems
Abstract
Many assignment problems, and channel allocation in OFDMA networks is a typical example, can be formulated as bipartite weighted b-matching (BWBM) problems. In this letter we provide a proof of the convergence and the optimality of the reweighted message passing (ReMP) algorithm when applied to solve BWBM problems in a distributed fashion. To this aim, we first show that the ReMP rule is a contraction mapping under a maximum mapping norm. Then, we show that the fixed convergence point is an optimal solution for the original assignment problem.
Year
DOI
Venue
2014
10.1109/LSP.2014.2337951
IEEE Signal Process. Lett.
Keywords
Field
DocType
contraction mapping,bipartite weighted b-matching problem,reweighted message passing,ofdm modulation,bwbm problem,resource allocation,channel allocation,ofdma networks,frequency division multiple access,remp algorithm,maximum mapping norm,fixed convergence point,message passing,distributed optimization,reweighted message passing algorithm,channel assignment problem
Convergence (routing),Computer science,Communication channel,Theoretical computer science,Message passing
Journal
Volume
Issue
ISSN
21
11
1070-9908
Citations 
PageRank 
References 
1
0.37
0
Authors
3
Name
Order
Citations
PageRank
Marco Moretti113816.56
Andrea Abrardo237647.39
Marco Belleschi312012.39