License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.DISC.2017.5
URN: urn:nbn:de:0030-drops-80153
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/8015/
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Avin, Chen ; Mondal, Kaushik ; Schmid, Stefan

Demand-Aware Network Designs of Bounded Degree

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LIPIcs-DISC-2017-5.pdf (0.5 MB)

Abstract

Traditionally, networks such as datacenter interconnects are designed to optimize worst-case performance under arbitrary traffic patterns. Such network designs can however be far from optimal when considering the actual workloads and traffic patterns which they serve. This insight led to the development of demand-aware datacenter interconnects which can be reconfigured depending on the workload.

Motivated by these trends, this paper initiates the algorithmic study of demand-aware networks (DANs), and in particular the design of bounded-degree networks. The inputs to the network design problem are a discrete communication request distribution, D, defined over communicating pairs from the node set V, and a bound, d, on the maximum degree. In turn, our objective is to design an (undirected) demand-aware network N = (V,E) of bounded-degree d, which provides short routing paths between frequently communicating nodes distributed across N. In particular, the designed network should minimize the expected path length on N (with respect to D), which is a basic measure of the efficiency of the network.

We show that this fundamental network design problem exhibits interesting connections to several classic combinatorial problems and to information theory. We derive a general lower bound based on the entropy of the communication pattern D, and present asymptotically optimal network-aware design algorithms for important distribution families, such as sparse distributions and distributions of locally bounded doubling dimensions.

BibTeX - Entry

@InProceedings{avin_et_al:LIPIcs:2017:8015,
  author =	{Chen Avin and Kaushik Mondal and Stefan Schmid},
  title =	{{Demand-Aware Network Designs of Bounded Degree}},
  booktitle =	{31st International Symposium on Distributed Computing (DISC 2017)},
  pages =	{5:1--5:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-053-8},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{91},
  editor =	{Andr{\'e}a W. Richa},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/8015},
  URN =		{urn:nbn:de:0030-drops-80153},
  doi =		{10.4230/LIPIcs.DISC.2017.5},
  annote =	{Keywords: Network design, reconfigurable networks, datacenter topology, peer-topeer computing, entropy, sparse spanners}
}

Keywords: Network design, reconfigurable networks, datacenter topology, peer-topeer computing, entropy, sparse spanners
Collection: 31st International Symposium on Distributed Computing (DISC 2017)
Issue Date: 2017
Date of publication: 12.10.2017

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