A new approximation algorithm for the Selective Single-Sink Buy-at-Bulk problem in network design

  • Authors:
  • Peng Zhang

  • Affiliations:
  • School of Computer Science and Technology, Shandong University, Jinan, China 250101

  • Venue:
  • Journal of Combinatorial Optimization
  • Year:
  • 2014

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Abstract

The Selective Single-Sink Buy-at-Bulk problem was proposed by Awerbuch and Azar (FOCS 1997). For a long time, the only known non-trivial approach to approximate this problem is the tree-embedding method initiated by Bartal (FOCS 1996). In this paper, we give a thoroughly different approximation approach for the problem with approximation ratio $O(\sqrt{q})$, where q is the number of source terminals in the problem instance. Our approach is based on a mixed strategy of LP-rounding and the greedy method. When the number q (which is always at most n) is relatively small (say, q=o(log2n)), our approximation ratio $O(\sqrt{q})$ is better than the currently known best ratio O(logn), where n is the number of vertices in the input graph.