On distributed averaging algorithms and quantization effects

Angelia Nedić, Alex Olshevsky, Asuman Ozdaglar, John N. Tsitsiklis

Research output: Contribution to journalArticle

330 Scopus citations

Abstract

We consider distributed iterative algorithms for the averaging problem over time-varying topologies. Our focus is on the convergence time of such algorithms when complete (unquantized) information is available, and on the degradation of performance when only quantized information is available. We study a large and natural class of averaging algorithms, which includes the vast majority of algorithms proposed to date, and provide tight polynomial bounds on their convergence time. We also describe an algorithm within this class whose convergence time is the best among currently available averaging algorithms for time-varying topologies. We then propose and analyze distributed averaging algorithms under the additional constraint that agents can only store and communicate quantized information, so that they can only converge to the average of the initial values of the agents within some error. We establish bounds on the error and tight bounds on the convergence time, as a function of the number of quantization levels.

Original languageEnglish (US)
Article number5286289
Pages (from-to)2506-2517
Number of pages12
JournalIEEE Transactions on Automatic Control
Volume54
Issue number11
DOIs
StatePublished - Nov 1 2009
Externally publishedYes

Keywords

  • Decentralized and distributed control
  • Multiagent systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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