# Fast approximation of minimum multicast congestion – Implementation versus theory

Andreas Baltz; Anand Srivastav

RAIRO - Operations Research - Recherche Opérationnelle (2004)

- Volume: 38, Issue: 4, page 319-344
- ISSN: 0399-0559

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topBaltz, Andreas, and Srivastav, Anand. "Fast approximation of minimum multicast congestion – Implementation versus theory." RAIRO - Operations Research - Recherche Opérationnelle 38.4 (2004): 319-344. <http://eudml.org/doc/245890>.

@article{Baltz2004,

abstract = {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 $r(1+\varepsilon )(rtext\{OPT\}+\exp (1)\ln m)$-approximation can be computed in $O(km\varepsilon ^\{-2\}\ln k \ln m)$ time, where $\beta $ 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.},

author = {Baltz, Andreas, Srivastav, Anand},

journal = {RAIRO - Operations Research - Recherche Opérationnelle},

keywords = {combinatorial optimization; approximation algorithms; Combinatorial optimization},

language = {eng},

number = {4},

pages = {319-344},

publisher = {EDP-Sciences},

title = {Fast approximation of minimum multicast congestion – Implementation versus theory},

url = {http://eudml.org/doc/245890},

volume = {38},

year = {2004},

}

TY - JOUR

AU - Baltz, Andreas

AU - Srivastav, Anand

TI - Fast approximation of minimum multicast congestion – Implementation versus theory

JO - RAIRO - Operations Research - Recherche Opérationnelle

PY - 2004

PB - EDP-Sciences

VL - 38

IS - 4

SP - 319

EP - 344

AB - 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 $r(1+\varepsilon )(rtext{OPT}+\exp (1)\ln m)$-approximation can be computed in $O(km\varepsilon ^{-2}\ln k \ln m)$ time, where $\beta $ 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.

LA - eng

KW - combinatorial optimization; approximation algorithms; Combinatorial optimization

UR - http://eudml.org/doc/245890

ER -

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