Queueing Systems

, Volume 22, Issue 1–2, pp 171–174

Simple analysis of a fluid queue driven by an M/M/1 queue

  • Ivo Adan
  • Jacques Resing
Article

Abstract

In this note we consider the fluid queue driven by anM/M/1 queue as analysed by Virtamo and Norros [Queueing Systems 16 (1994) 373–386]. We show that the stationary buffer content in this model can be easily analysed by looking at embedded time points. This approach gives the stationary buffer content distribution in terms of the modified Bessel function of the first kind of order one. By using a suitable integral representation for this Bessel function we show that our results coincide with the ones of Virtamo and Norros.

Keywords

Fluid queue alternating renewal process M/M/1 queue 

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References

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    J. Virtamo and I. Norros, Fluid queue driven by anM/M/1 queue, Queueing Systems 16 (1994) 373–386.Google Scholar

Copyright information

© J.C. Baltzer AG, Science Publishers 1996

Authors and Affiliations

  • Ivo Adan
    • 1
  • Jacques Resing
    • 1
  1. 1.Department of Mathematics and Computing ScienceEindhoven University of TechnologyMB EindhovenThe Netherlands

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