Decomposition-Based Queueing Network Analysis with FiFiQueues

Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

11 Citations (Scopus)

Abstract

In this paper we present an overview of decomposition-based analysis techniques for large open queueing networks. We present a general decomposition-based solution framework, without referring to any particular model class, and propose a general fixed-point iterative solution method for it. We concretize this framework by describing the well-known QNA method, as proposed by Whitt in the early 1980s, in that context, before describing our FiFiQueues approach. FiFiQueues allows for the efficient analysis of large open queueing networks of which the interarrival and service time distributions are of phase-type; individual queues, all with single servers, can have bounded or unbounded buffers. Next to an extensive evaluation with generally very favorable results for FiFiQueues, we also present a theorem on the existence of a fixed-point solution for FiFiQueues.
Original languageEnglish
Title of host publicationQueueing Networks: A Fundamental Approach
EditorsRichardus J. Boucherie, Nico van Dijk, Nico M. van Dijk
Place of PublicationNew York
PublisherSpringer Science + Business Media
Pages643-699
Number of pages57
ISBN (Print)9781441964717
DOIs
Publication statusPublished - 2011
Externally publishedYes

Publication series

NameInternational Series in Operations Research & Management Science

Keywords

  • METIS-277480
  • Decomposition
  • IR-75077
  • EWI-19213
  • QNA
  • Fixed-point
  • Queueing networks

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