Demand-Aware Network Designs of Bounded Degree

Demand-Aware Network Designs of Bounded Degree

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 demandaware 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, ∆, on the maximum degree. In turn, our objective is to design an (undirected) demand-aware network N = (V, E) of bounded-degree ∆, 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 derive a general lower bound based on the entropy of the communication pattern D, and present asymptotically optimal demand-aware network design algorithms for important distribution families, such as sparse distributions and distributions of locally bounded doubling dimensions.

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Authors
  • Avin, Chen
  • Mondal, Kaushik
  • Schmid, Stefan
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Supplemental Material
Shortfacts
Category
Journal Paper
Divisions
Communication Technologies
Subjects
Informatik Allgemeines
Journal or Publication Title
Distributed Computing
ISSN
0178-2770
Date
2020
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