Improved Combinatorial Algorithms for Facility Location Problems

@article{Charikar2005ImprovedCA,
  title={Improved Combinatorial Algorithms for Facility Location Problems},
  author={Moses Charikar and Sudipto Guha},
  journal={SIAM J. Comput.},
  year={2005},
  volume={34},
  pages={803-824}
}
We present improved combinatorial approximation algorithms for the uncapacitated facility location problem. Two central ideas in most of our results are cost scaling and greedy improvement. We present a simple greedy local search algorithm which achieves an approximation ratio of 2.414+ in Õ(n/ ) time. This also yields a bicriteria approximation tradeoff of (1 + γ, 1 + 2/γ) for facility cost versus service cost which is better than previously known tradeoffs and close to the best possible… CONTINUE READING
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