A coupled processor model with simultaneous arrivals and ordered service requirements

E.S. Badila, J.A.C. Resing

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1 Citation (Scopus)
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Abstract

We study a coupled processor model with simultaneous arrivals. Under the assumption of ordered input, the Laplace–Stieltjes transform of the joint stationary amount of work in the system can be explicitly calculated by relating it to the amount of work in a parallel queueing system without coupling. This relation is first exploited for the system with two coupled queues. The method is then extended to higher dimensions. Keywords: Coupled processors; Multivariate workload; Ordered service requirements; Simultaneous arrivals
Original languageEnglish
Pages (from-to)29-42
Number of pages14
JournalQueueing Systems: Theory and Applications
Volume82
Issue number1-2
DOIs
Publication statusPublished - 1 Feb 2016

Keywords

  • Coupled processors
  • Multivariate workload
  • Ordered service requirements
  • Simultaneous arrivals

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