2005
DOI: 10.1016/j.jalgor.2004.11.001
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An online throughput-competitive algorithm for multicast routing and admission control

Abstract: We present the first polylog-competitive online algorithm for the general multicast admission control and routing problem in the throughput model. The ratio of the number of requests accepted by the optimum offline algorithm to the expected number of requests accepted by our algorithm is O((log n + log log M)(log n + log M) log n), where M is the number of multicast groups and n is the number of nodes in the graph. We show that this is close to optimum by presenting an Ω(log n log M) lower bound on this ratio … Show more

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Cited by 8 publications
(8 citation statements)
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“…In particular, the work of [17,18] presents the theoretical models for online unicast routing. In the multicast domain, the work of [19] investigate the case of receivers within a multicast session arriving in batch, and the work in [20] presents a solution for receivers arriving separately. In the past, we have extended the multi-commodity flow theory to maximize the throughput of overlay multicasting [21].…”
Section: Related Workmentioning
confidence: 99%
“…In particular, the work of [17,18] presents the theoretical models for online unicast routing. In the multicast domain, the work of [19] investigate the case of receivers within a multicast session arriving in batch, and the work in [20] presents a solution for receivers arriving separately. In the past, we have extended the multi-commodity flow theory to maximize the throughput of overlay multicasting [21].…”
Section: Related Workmentioning
confidence: 99%
“…A competitive routing scheme in terms of the number of failed routes in the setting of ad-hoc networks is presented in [24]. A competitive algorithm for admission control and routing in a multicasting setting is presented in [25].…”
Section: Related Workmentioning
confidence: 99%
“…In particular, the work of [19,20] present the theoretical models for online unicast routing. In the multicast domain, the work of [21] investigate the case of receivers within a multicast session arriving in batch, and the work in [22] presents a solution for receivers arriving separately.…”
Section: Optimization-based Routingmentioning
confidence: 99%