Incremental Medians via Online Bidding

@article{Chrobak2007IncrementalMV,
  title={Incremental Medians via Online Bidding},
  author={Marek Chrobak and Claire Mathieu and John Noga and Neal E. Young},
  journal={Algorithmica},
  year={2007},
  volume={50},
  pages={455-478}
}
In the k-median problem we are given sets of facilities and customers, and distances between them. For a given set F of facilities, the cost of serving a customer u is the minimum distance between u and a facility in F. The goal is to find a set F of k facilities that minimizes the sum, over all customers, of their service costs. Following the work of Mettu and Plaxton, we study the incremental medians problem, where k is not known in advance. An incremental algorithm produces a nested sequence… CONTINUE READING
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