Heavy-traffic behavior of the maxweight algorithm in a switch with uniform traffic

Siva Theja Maguluri, Rayadurgam Srikant

Research output: Contribution to journalConference article

Abstract

We consider a switch with uniform traffic operating under the MaxWeight scheduling algorithm. This traffic pattern is interesting to study in the heavy-traffic regime since the queue lengths exhibit a multi-dimensional state-space collapse. We use a Lyapunov-type drift technique to characterize the heavy-traffic behavior of the expectation of the sum queue lengths in steady-state. Specifically, in the case of Bernoulli arrivals, we show that the heavy-traffic scaled queue length is " n - 3 2 + 1 2n # . Our result implies that the MaxWeight algorithm has optimal queue-length scaling behavior in the heavy-traffic regime with respect to the size of a switch with a uniform traffic pattern. This settles the heavy-traffic version of an open conjecture.

Original languageEnglish (US)
Article number2825264
Pages (from-to)72-74
Number of pages3
JournalPerformance Evaluation Review
Volume43
Issue number2
DOIs
StatePublished - Sep 16 2015
Event33rd International Symposium on Computer Performance, Modeling, Measurement, and Evaluation, IFIP WG 7.3 Performance 2015 - Sydney, Australia
Duration: Oct 19 2015Oct 21 2015

ASJC Scopus subject areas

  • Software
  • Hardware and Architecture
  • Computer Networks and Communications

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