Lagrangian Relaxation for the k-Median Problem: New Insights and Continuity Properties

@inproceedings{Archer2003LagrangianRF,
  title={Lagrangian Relaxation for the k-Median Problem: New Insights and Continuity Properties},
  author={Aaron Archer and Ranjithkumar Rajagopalan and David B. Shmoys},
  booktitle={ESA},
  year={2003}
}
This work gives new insight into two well-known approximation algorithms for the uncapacitated facility location problem: the primal-dual algorith m of Jain & Vazirani, and an algorithm of Mettu & Plaxton. Our main result answ er positively a question posed by Jain & Vazirani of whether their algorithm ca n be modified to attain a desired “continuity” property. This yields an upper boun d of 3 on the integrality gap of the natural LP relaxation of the k-median problem, but our approach does not… CONTINUE READING
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