INFORMS Journal on Computing
A chance-constrained model and cutting planes for fixed broadband wireless networks
INOC'11 Proceedings of the 5th international conference on Network optimization
Cutset inequalities for robust network design
INOC'11 Proceedings of the 5th international conference on Network optimization
Models and algorithms for robust network design with several traffic scenarios
ISCO'12 Proceedings of the Second international conference on Combinatorial Optimization
The robust network loading problem with dynamic routing
Computational Optimization and Applications
Design of Survivable Networks Using Three-and Four-Partition Facets
Operations Research
| Hi-index | 0.00 |
In this article, we study capacitated network design problems. We unify and extend polyhedral results for directed, bidirected, and undirected link capacity models. Valid inequalities based on a network cut are known to be strong in several special cases. We show that regardless of the link model, facets of the polyhedra associated with such a cut translate to facets of the original network design polyhedra if the two subgraphs defined by the network cut are (strongly) connected. Our investigation of the facial structure of the cutset polyhedra allows to complement existing polyhedral results for the three variants by presenting facet-defining flow-cutset inequalities in a unifying way. In addition, we present a new class of facet-defining inequalities, showing as well that flow-cutset inequalities alone do not suffice to give a complete description for single-commodity, single-module cutset polyhedra in the bidirected and undirected case – in contrast to a known result for the directed case. The practical importance of the theoretical investigations is highlighted in an extensive computational study on 27 instances from the Survivable Network Design Library (SNDlib). © 2010 Wiley Periodicals, Inc. NETWORKS, Vol. 57(2), 141–156 2011 © 2011 Wiley Periodicals, Inc.