Output analysis of multiclass fluid models with static priorities

Elena I. Tzenova, Ivo J.B.F. Adan, Vidyadhar G. Kulkarni

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a stochastic fluid flow model with a single server and K infinite capacity buffers. The input to the k-th buffer is a Markovian on-off process that transmits fluid at a constant rate pk while it is on and at rate 0 while it is off. The fluid is emptied from the buffers by a single server at a constant rate μ according to a static priority service discipline in which class 1 fluid has the highest and class K fluid has the lowest priority. The output process of class k is defined to be on if fluid of class k is leaving the buffer at a positive rate and off otherwise. In this paper we derive an exact method for computing the mean on-time and the mean off-time of the output process of class k. We illustrate the method with a numerical example.

Original languageEnglish (US)
Pages (from-to)71-81
Number of pages11
JournalPerformance Evaluation
Volume65
Issue number1
DOIs
StatePublished - Jan 2008

Keywords

  • Output process
  • Static priority service discipline
  • Stochastic fluid model

ASJC Scopus subject areas

  • Software
  • Modeling and Simulation
  • Hardware and Architecture
  • Computer Networks and Communications

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