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
Solving Multiple Knapsack Problems by Cutting Planes
SIAM Journal on Optimization
The general Steiner tree-star problem
Information Processing Letters
Branch-And-Price: Column Generation for Solving Huge Integer Programs
Operations Research
Dynamic Programming and Strong Bounds for the 0-1 Knapsack Problem
Management Science
Building Steiner trees with incomplete global knowledge
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Approximating connected facility location problems via random facility sampling and core detouring
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
SAINT '08 Proceedings of the 2008 International Symposium on Applications and the Internet
A GRASP Algorithm for the Connected Facility Location Problem
SAINT '08 Proceedings of the 2008 International Symposium on Applications and the Internet
A hybrid VNS for connected facility location
HM'07 Proceedings of the 4th international conference on Hybrid metaheuristics
MIP models for connected facility location: A theoretical and computational study
Computers and Operations Research
Dual-Based Local Search for the Connected Facility Location and Related Problems
INFORMS Journal on Computing
EUROCAST'11 Proceedings of the 13th international conference on Computer Aided Systems Theory - Volume Part I
Layered Graph Approaches to the Hop Constrained Connected Facility Location Problem
INFORMS Journal on Computing
A cutting plane algorithm for the Capacitated Connected Facility Location Problem
Computational Optimization and Applications
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We consider a generalization of the Connected Facility Location Problem (ConFL), suitable to model real world network extension scenarios such as fiber-to-the-curb. In addition to choosing a set of facilities and connecting them by a Steiner tree as in ConFL, we aim to maximize the resulting profit by potentially supplying only a subset of all customers. Furthermore, capacity constraints on potential facilities need to be considered. We present two mixed integer programming based approaches which are solved using branch-and-cut and branch-and-cut-and-price, respectively. By studying the corresponding polyhedra we analyze both approaches theoretically and show their advantages over previously presented models. Furthermore, using a computational study we are able to additionally show significant advantages of our models over previously presented ones from a practical point of view.