e-approximations with minimum packing constraint violation (extended abstract)
STOC '92 Proceedings of the twenty-fourth annual ACM symposium on Theory of computing
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
Greedy strikes back: improved facility location algorithms
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
A new greedy approach for facility location problems
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
Primal-Dual Approximation Algorithms for Metric Facility Location and k-Median Problems
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Improved Approximation Algorithms for the Uncapacitated Facility Location Problem
SIAM Journal on Computing
Improved Combinatorial Algorithms for Facility Location Problems
SIAM Journal on Computing
Approximation Algorithms for Metric Facility Location Problems
SIAM Journal on Computing
The approximation gap for the metric facility location problem is not yet closed
Operations Research Letters
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Variants of the facility location problem have been studied extensively in the operations research and management science literatures. In this paper, we present a new analysis method of a simple greedy algorithm for the uncapacitated facility location problem. We achieve an approximation guarantee of 1.5749 better than 1.853, which is the approximation ratio provided by the combinatorial approximation algorithm due to Charikar and Guha.