The convex hull of two core capacitated network design problems
Mathematical Programming: Series A and B
The Steiner tree problem I: formulations, compositions and extension of facets
Mathematical Programming: Series A and B
Designing least-cost nonblocking broadband networks
Journal of Algorithms
Minimum cost capacity installation for multicommodity network flows
Mathematical Programming: Series A and B - Special issue on computational integer programming
A flexible model for resource management in virtual private networks
Proceedings of the conference on Applications, technologies, architectures, and protocols for computer communication
Provisioning a virtual private network: a network design problem for multicommodity flow
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Network Design Using Cut Inequalities
SIAM Journal on Optimization
Provisioning virtual private networks under traffic uncertainty
Networks - Special Issue on Multicommodity Flows and Network Design
Hardness of robust network design
Networks
Domination Between Traffic Matrices
Mathematics of Operations Research
Two-Stage Robust Network Flow and Design Under Demand Uncertainty
Operations Research
Communication: Robust network optimization under polyhedral demand uncertainty is NP-hard
Discrete Applied Mathematics
Geometry of Cuts and Metrics
INFORMS Journal on Computing
Solving survivable two-layer network design problems by metric inequalities
Computational Optimization and Applications
Metric inequalities and the Network Loading Problem
Discrete Optimization
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In this paper the Robust Network Loading problem with splittable flows and dynamic routing under polyhedral uncertainty for the demands is considered. Polyhedral results for the capacity formulation of the problem are given. The first exact approach for solving the problem is presented. A branch-and-cut algorithm based on the proposed capacity formulation is developed. Computational results using the hose polyhedron to model the demand uncertainty are discussed.