The Reverse Greedy Algorithm for the Metric K-Median Problem

نویسندگان

  • Marek Chrobak
  • Claire Mathieu
  • Neal E. Young
چکیده

The Reverse Greedy algorithm (RGREEDY) for the k-median problem works as follows. It starts by placing facilities on all nodes. At each step, it removes a facility to minimize the total distance to the remaining facilities. It stops when k facilities remain. We prove that, if the distance function is metric, then the approximation ratio of RGREEDY is between (logn/ log logn) and O(logn).  2005 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Inf. Process. Lett.

دوره 97  شماره 

صفحات  -

تاریخ انتشار 2005