Abstract | ||
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We consider the problem of minimizing average latency cost while obliviously routing traffic in a network with linear latency functions. This is roughly equivalent to minimizing the function Σe(load(e))2, where for a network link e, load(e) denotes the amount of traffic that has to be forwarded by the link. We show that for the case when all routing requests are directed to a single target, there is a routing scheme with competitive ratio O(log n, where n denotes the number of nodes in the network. As a lower bound we show that no oblivious scheme can obtain a competitive ratio of better than Ω(√log n). This latter result gives a qualitative difference in the performance that can be achieved by oblivious algorithms and by adaptive online algorithms, respectively, since there exist a constant competitive online routing algorithm for the cost-measure of average latency [2]. Such a qualitative difference (in general undirected networks) between the performance of online algorithms and oblivious algorithms was not known for other cost measures (e.g. edge-congestion). |
Year | DOI | Venue |
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2008 | 10.5555/1347082.1347105 | SODA |
Keywords | Field | DocType |
average latency,oblivious algorithm,competitive ratio,average latency cost,oblivious routing,adaptive online algorithm,qualitative difference,routing scheme,log n,routing request,obliviously routing traffic,lower bound,online algorithm | Discrete mathematics,Online algorithm,Topology,Mathematical optimization,Link-state routing protocol,Multipath routing,Dynamic Source Routing,Latency (engineering),Upper and lower bounds,Computer science,Destination-Sequenced Distance Vector routing,Competitive analysis | Conference |
ISBN | Citations | PageRank |
978-0-89871-698-6 | 7 | 0.50 |
References | Authors | |
8 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Prahladh Harsha | 1 | 371 | 32.06 |
Thomas P. Hayes | 2 | 659 | 54.21 |
Hariharan Narayanan | 3 | 116 | 12.70 |
Harald Räcke | 4 | 821 | 48.28 |
Jaikumar Radhakrishnan | 5 | 1123 | 96.04 |