The buy-at-bulk network design problem has been extensively studied in the general graph model. In this paper we consider the geometric version of the problem, where all points in a Euclidean space are candidates for network nodes. We present the first general approach for geometric versions of basic variants of the buy-at-bulk network design problem. 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 few sinks and low capacity links, we design very fast polynomial-time low-constant approximations algorithms. © 2009 Springer Berlin Heidelberg.
CITATION STYLE
Czumaj, A., Czyzowicz, J., Ga̧sieniec, L., Jansson, J., Lingas, A., & Zylinski, P. (2009). Approximation algorithms for buy-at-bulk geometric network design. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5664 LNCS, pp. 168–180). https://doi.org/10.1007/978-3-642-03367-4_15
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