Approximation algorithms for facility location problems (extended abstract)
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Greedy strikes back: improved facility location algorithms
Journal of Algorithms
Analysis of a local search heuristic for facility location problems
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
A 3-approximation algorithm for the k-level uncapacitated facility location problem
Information Processing Letters
Algorithms for facility location problems with outliers
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
Local search heuristic for k-median and facility location 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
Quick k-Median, k-Center, and Facility Location for Sparse Graphs
ICALP '01 Proceedings of the 28th International Colloquium on Automata, Languages and Programming,
A Simple Dual Ascent Algorithm for the Multilevel Facility Location Problem
APPROX '01/RANDOM '01 Proceedings of the 4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems and 5th International Workshop on Randomization and Approximation Techniques in Computer Science: Approximation, Randomization and Combinatorial Optimization
Improved Combinatorial Algorithms for the Facility Location and k-Median Problems
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Cost-distance: two metric network design
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Approximation algorithms for the multi-level facility location problem
Approximation algorithms for the multi-level facility location problem
Approximating the two-level facility location problem via a quasi-greedy approach
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
A review of hierarchical facility location models
Computers and Operations Research
A new approximation algorithm for the multilevel facility location problem
Discrete Applied Mathematics
Computers and Operations Research
Inapproximability of the multi-level uncapacitated facility location problem
Proceedings of the twenty-third annual ACM-SIAM symposium on Discrete Algorithms
Computers and Industrial Engineering
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We show that the metric multilevel facility location problem is polynomial-time reducible within a factor of 3 to the metric uncapacitated facility location problem. This leads to a combinatorial 4.83-approximation algorithm for the metric multilevel facility location problem and to a 9-approximation algorithm for a capacitated version of it.