An asymptotically optimal push-pull method for multicasting over a random network
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 a...
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creator | Swamy, V. N. Sundaresan, R. Viswanath, P. |
description | 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. |
doi_str_mv | 10.1109/ISIT.2012.6283922 |
format | Conference Proceeding |
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We then provide a decentralized push-pull algorithm that asymptotically achieves this normalized sum rate.</description><subject>Bipartite graph</subject><subject>Educational institutions</subject><subject>Manganese</subject><subject>Network coding</subject><subject>Random variables</subject><subject>Relays</subject><subject>Upper bound</subject><issn>2157-8095</issn><issn>2157-8117</issn><isbn>9781467325806</isbn><isbn>1467325805</isbn><isbn>9781467325783</isbn><isbn>1467325791</isbn><isbn>9781467325790</isbn><isbn>1467325783</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2012</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpNUEtLxDAYjC9wWfsDxEv-QGu-PJrkuCy6FhZEXM9LH4lbTZvSpkr_vV1cwbnMYYaZYRC6BZIAEH2fvWa7hBKgSUoV05SeoUhLBTyVjAqp2DlaUBAyVgDy4r-mSHr5pxEtrlE0DB9khjxaxQK9rFqcD1PTBR_qMnduwr4LdZM73I3DIe5G53BjwsFX2PoeN6M7-oZQt-_Yf5ke57jP28o3uDXh2_efN-jK5m4w0YmX6O3xYbd-irfPm2y92sb1XBxiLcvCWqOEUCCp4oIDKTSxpQVhpdFQMG6kIAUXjAlV8lSDUJaXhJYVU5Qt0d1vbm2M2Xf9vLmf9qeD2A-TylUP</recordid><startdate>201207</startdate><enddate>201207</enddate><creator>Swamy, V. 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N.</creatorcontrib><creatorcontrib>Sundaresan, R.</creatorcontrib><creatorcontrib>Viswanath, P.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan (POP) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP) 1998-present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Swamy, V. N.</au><au>Sundaresan, R.</au><au>Viswanath, P.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>An asymptotically optimal push-pull method for multicasting over a random network</atitle><btitle>2012 IEEE International Symposium on Information Theory Proceedings</btitle><stitle>ISIT</stitle><date>2012-07</date><risdate>2012</risdate><spage>229</spage><epage>233</epage><pages>229-233</pages><issn>2157-8095</issn><eissn>2157-8117</eissn><isbn>9781467325806</isbn><isbn>1467325805</isbn><eisbn>9781467325783</eisbn><eisbn>1467325791</eisbn><eisbn>9781467325790</eisbn><eisbn>1467325783</eisbn><abstract>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.</abstract><pub>IEEE</pub><doi>10.1109/ISIT.2012.6283922</doi><tpages>5</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Bipartite graph Educational institutions Manganese Network coding Random variables Relays Upper bound |
title | An asymptotically optimal push-pull method for multicasting over a random network |
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