Fast approximation of minimum multicast congestion - Implementation versus theory
RAIRO - Operations Research - Recherche Opérationnelle, Tome 38 (2004) no. 4, pp. 319-344.

The problem of minimizing the maximum edge congestion in a multicast communication network generalizes the well-known NP-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)(rtextOPT+exp(1)lnm)-approximation can be computed in O(kmε -2 lnklnm) 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.

DOI : 10.1051/ro:2004028
Classification : 68W25, 90C27
Mots-clés : combinatorial optimization, approximation algorithms 
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     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},
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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://archive.numdam.org/articles/10.1051/ro:2004028/

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