Heavy-traffic delay insensitivity in connection-level models of data transfer with proportionally fair bandwidth sharing

Weina Wang, R. Srikant, Siva Theja Maguluri, Lei Ying

Research output: Contribution to journalConference article

Abstract

Motivated by the stringent requirements on delay performance in data center networks, we study a connection-level model for bandwidth sharing among data transfer flows, where file sizes have phase-type distributions and proportionally fair bandwidth allocation is used. We analyze the expected number of files in steady-state by setting the steady-state drift of an appropriately chosen Lyapunov function equal to zero. We consider the heavy-traffic regime and obtain asymptotically tight bounds on the expected number of files in the system. Our results show that the expected number of files under proportionally fair bandwidth allocation is insensitive in heavy traffic to file size distributions, thus complementing the diusion approximation result of Vlasiou et al. [20].

Original languageEnglish (US)
Pages (from-to)232-245
Number of pages14
JournalPerformance Evaluation Review
Volume45
Issue number3
DOIs
StatePublished - Mar 20 2018
Event35th IFIP International Symposium on Computer Performance, Modeling, Measurements and Evaluation, IFIP WG 7.3 Performance 2017 - New York, United States
Duration: Nov 13 2017Nov 17 2017

ASJC Scopus subject areas

  • Software
  • Hardware and Architecture
  • Computer Networks and Communications

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