Approximation algorithms for facility location problems (extended abstract)
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Improved approximation algorithms for a capacitated facility location problem
Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
Analysis of a local search heuristic for facility location problems
Journal of Algorithms
A constant factor approximation for the single sink edge installation problems
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
A new greedy approach for facility location problems
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
An Improved Approximation Algorithm for the Metric Uncapacitated Facility Location Problem
Proceedings of the 9th International IPCO Conference on Integer Programming and Combinatorial Optimization
Building Steiner trees with incomplete global knowledge
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Hierarchical placement and network design problems
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Facility Location with Nonuniform Hard Capacities
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
Improved Approximation Algorithms for the Uncapacitated Facility Location Problem
SIAM Journal on Computing
Local Search Heuristics for k-Median and Facility Location Problems
SIAM Journal on Computing
Improved approximation algorithms for capacitated facility location problems
Mathematical Programming: Series A and B
Improved Combinatorial Algorithms for Facility Location Problems
SIAM Journal on Computing
A Multiexchange Local Search Algorithm for the Capacitated Facility Location Problem
Mathematics of Operations Research
A Transportation Problem with Minimum Quantity Commitment
Transportation Science
An Optimal Bifactor Approximation Algorithm for the Metric Uncapacitated Facility Location Problem
APPROX '07/RANDOM '07 Proceedings of the 10th International Workshop on Approximation and the 11th International Workshop on Randomization, and Combinatorial Optimization. Algorithms and Techniques
From stars to comets: Improved local search for universal facility location
Operations Research Letters
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We study the lower-bounded facility location problem which generalizes the classical uncapacitated facility location problem in that it comes with lower bound constraints for the number of clients assigned to a facility in the case that this facility is opened. This problem was introduced independently in the papers by Karger and Minkoff [2000] and by Guha et al. [2000], both of which give bicriteria approximation algorithms for it. These bicriteria algorithms come within a constant factor of the optimal solution cost, but they also violate the lower bound constraints by a constant factor. Our result in this article is the first true approximation algorithm for the lower-bounded facility location problem which respects the lower bound constraints and achieves a constant approximation ratio for the objective function. The main technical idea for the design of the algorithm is a reduction to the capacitated facility location problem, which has known constant-factor approximation algorithms.