Approximation algorithms for buy-at-bulk geometric network design

Artur Czumaj, Jurek Czyzowicz, Leszek Ga̧sieniec, Jesper Jansson, Andrzej Lingas, Pawel Zylinski

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The buy-at-bulk network design problem has been extensively studied in the general graph model. In this paper, we consider geometric versions of the problem, where all points in a Euclidean space are candidates for network nodes, and present the first general approach for solving them. It enables us to obtain quasi-polynomial-time approximation schemes for basic variants of the buy-at-bulk geometric network design problem with polynomial total demand. Then, for instances with a single sink and low capacity links, we design fast polynomial-time, low-constant approximation algorithms.

Original languageEnglish (US)
Pages (from-to)1949-1969
Number of pages21
JournalInternational Journal of Foundations of Computer Science
Issue number8
StatePublished - Dec 2011
Externally publishedYes


  • Geometric networks
  • Hanan grid
  • approximation algorithm
  • belt decomposition
  • buy-at-bulk
  • dynamic programming
  • quasi-polynomial- time approximation scheme (QPTAS)

ASJC Scopus subject areas

  • Computer Science (miscellaneous)


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