Fast approximation of minimum multicast congestion - Implementation versus theory

Baltz, Andreas; Srivastav, Anand

doi:10.1051/ro:2004028

Baltz, Andreas ; Srivastav, Anand

RAIRO - Operations Research - Recherche Opérationnelle, Tome 38 (2004) no. 4, pp. 319-344.

Résumé

The problem of minimizing the maximum edge congestion in a multicast communication network generalizes the well-known $N P$ -hard multicommodity flow problem. We give the presently best theoretical approximation results as well as efficient implementations. In particular we show that for a network with $m$ edges and $k$ multicast requests, an $r (1 + ε) (r t e x t O P T + exp (1) ln m)$ -approximation can be computed in $O (k m ε^{- 2} ln k ln m)$ time, where $β$ bounds the time for computing an $r$ -approximate minimum Steiner tree. Moreover, we present a new fast heuristic that outperforms the primal-dual approaches with respect to both running time and objective value.

EuDML Zbl

DOI : 10.1051/ro:2004028

Classification : 68W25, 90C27
Mots-clés : combinatorial optimization, approximation algorithms

@article{RO_2004__38_4_319_0,
     author = {Baltz, Andreas and Srivastav, Anand},
     title = {Fast approximation of minimum multicast congestion - {Implementation} versus theory},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {319--344},
     publisher = {EDP-Sciences},
     volume = {38},
     number = {4},
     year = {2004},
     doi = {10.1051/ro:2004028},
     zbl = {1114.90101},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ro:2004028/}
}

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Baltz, Andreas; Srivastav, Anand. Fast approximation of minimum multicast congestion - Implementation versus theory. RAIRO - Operations Research - Recherche Opérationnelle, Tome 38 (2004) no. 4, pp. 319-344. doi : 10.1051/ro:2004028. http://www.numdam.org/articles/10.1051/ro:2004028/

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