Heavy-traffic analysis of the generalized switch under multidimensional state space collapse

Daniela Hurtado Lange, Siva Theja Maguluri

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations

Abstract

The drift method was recently developed to study performance of queueing systems in heavy-traffic [1]. It has been used to analyze several queueing systems, including some where the Complete Resource Pooling (CRP) condition is not satisfied, like the input-queued switch [4]. In this paper we study the generalized switch operating under MaxWeight using the drift method. The generalized switch is a queueing system that was first introduced by [5], and can be thought of as extension of several single-hop queueing systems, such as the input-queued switch and ad hoc wireless networks. When the CRP condition is not satisfied, we prove that there is a multidimensional state space collapse to a cone and we compute bounds on a linear combination of the queue lengths that are tight in heavy-traffic. This work generalizes some of the results obtained by [1] and the results from [4], since the queueing systems studied there are particular cases of the generalized switch.

Original languageEnglish (US)
Pages (from-to)36-38
Number of pages3
JournalPerformance Evaluation Review
Volume47
Issue number2
DOIs
StatePublished - Dec 4 2019
Event2019 Workshop on MAthematical Performance Modeling and Analysis, MAMA 2019, in conjunction with ACM SIGMETRICS / IFIP Performance 2019 - Phoenix, United States
Duration: Jun 28 2019Jun 28 2019

ASJC Scopus subject areas

  • Software
  • Hardware and Architecture
  • Computer Networks and Communications

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