Improved algorithms for fault tolerant facility location
SODA '01 Proceedings of the twelfth 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
Greedy facility location algorithms analyzed using dual fitting with factor-revealing LP
Journal of the ACM (JACM)
Approximation algorithms for the k-median problem
Efficient Approximation and Online Algorithms
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We present the first constant approximation to the single sink buy-at-bulk network design problem, where we have to design a network by buying pipes of different costs and capacities per unit length to route demands at a set of sources to a single sink. The distances in the underlying network form a metric. This result improves the previous bound of log |S|, where S is the set of sources. We also present an improved constant approximation to the related Access Network Design problem. Our algorithms are randomized and fully combinatorial. They can be derandomized easily at the cost of a constant factor loss in the approximation ratio.