TY - GEN

T1 - An asymptotically optimal push-pull method for multicasting over a random network

AU - Swamy, Vasuki Narasimha

AU - Sundaresan, Rajesh

AU - Viswanath, Pramod

PY - 2012/10/22

Y1 - 2012/10/22

N2 - We consider multicast flow problems where either all of the nodes or only a subset of the nodes may be in session. Traffic from each node in the session has to be sent to every other node in the session. If the session does not consist of all the nodes, the remaining nodes act as relays. The nodes are connected by undirected edges whose capacities are independent and identically distributed random variables. We study the asymptotics of the capacity region (with network coding) in the limit of a large number of nodes, and show that the normalized sum rate converges to a constant almost surely. We then provide a decentralized push-pull algorithm that asymptotically achieves this normalized sum rate.

AB - We consider multicast flow problems where either all of the nodes or only a subset of the nodes may be in session. Traffic from each node in the session has to be sent to every other node in the session. If the session does not consist of all the nodes, the remaining nodes act as relays. The nodes are connected by undirected edges whose capacities are independent and identically distributed random variables. We study the asymptotics of the capacity region (with network coding) in the limit of a large number of nodes, and show that the normalized sum rate converges to a constant almost surely. We then provide a decentralized push-pull algorithm that asymptotically achieves this normalized sum rate.

UR - http://www.scopus.com/inward/record.url?scp=84867495870&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867495870&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2012.6283922

DO - 10.1109/ISIT.2012.6283922

M3 - Conference contribution

AN - SCOPUS:84867495870

SN - 9781467325790

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 229

EP - 233

BT - 2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012

T2 - 2012 IEEE International Symposium on Information Theory, ISIT 2012

Y2 - 1 July 2012 through 6 July 2012

ER -