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

Author

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  • Peng Zhang

    (Shandong University)

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(log2 n)), 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.

Suggested Citation

  • Peng Zhang, 2014. "A new approximation algorithm for the Selective Single-Sink Buy-at-Bulk problem in network design," Journal of Combinatorial Optimization, Springer, vol. 27(4), pages 663-678, May.
    • Handle: RePEc:spr:jcomop:v:27:y:2014:i:4:d:10.1007_s10878-012-9544-1
    DOI: 10.1007/s10878-012-9544-1
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