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[BCH17] On the edge capacitated Steiner tree problem.

Rapport Scientifique : Date de dépot: 2017/02/12, Nb pages 1-31, (Tech. Rep.: CEDRIC-16-3770)

Mots clés: Mixed-integer programming, bilevel programming, survivable networks

Résumé: We are interested in the design of survivable capacitated rooted Steiner networks. Given a graph G=(V,E), capacity and cost functions on E, a root r, a subset T of V of terminals and an integer k, we search for a minimum cost subset E' of E$, covering T and r, such that the network induced by E' is k-survivable: after the removal of any k edges, there still exists a feasible flow from r to T. We also consider the possibility of protecting a given number of edges. We propose three different formulations: a cut-set, a flow and a bi-level formulation where the second-level is a min-max problem (with an attacker and a defender). We propose algorithms for each problem formulation and compare their efficiency.

Commentaires: http://arxiv.org/abs/1607.07082

BibTeX

@techreport {
BCH17,
title="{On the edge capacitated Steiner tree problem.}",
author="C. Bentz and M.-C. Costa and A. Hertz",
number="{CEDRIC-16-3770}",
institution="{CEDRIC laboratory, CNAM-Paris, France}",
date={12-02-2017},
pages="1-31",
note="{http://arxiv.org/abs/1607.07082}",
}