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
Y1 - 2012
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
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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 -