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
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
A 3-approximation algorithm for the k-level uncapacitated facility location problem
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FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
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FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
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A primal-dual approximation algorithm for the k-level stochastic facility location problem
AAIM'10 Proceedings of the 6th international conference on Algorithmic aspects in information and management
Computers and Operations Research
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Proceedings of the twenty-third annual ACM-SIAM symposium on Discrete Algorithms
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An approximation algorithm for the k-level stochastic facility location problem
Operations Research Letters
The k-level facility location game
Operations Research Letters
Improved approximation algorithms for multilevel facility location problems
Operations Research Letters
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We present a simple dual ascent method for the multilevel facility location problem which finds a solution within 6 times the optimum for the uncapacitated case and within 12 times the optimum for the capacitated one. The algorithm is deterministic and based on the primal-dual technique.