Queueing Systems

, Volume 22, Issue 1, pp 171–174

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

Authors

  • Ivo Adan
    • Department of Mathematics and Computing ScienceEindhoven University of Technology
  • Jacques Resing
    • Department of Mathematics and Computing ScienceEindhoven University of Technology
Article

DOI: 10.1007/BF01159399

Cite this article as:
Adan, I. & Resing, J. Queueing Syst (1996) 22: 171. doi:10.1007/BF01159399

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 queuealternating renewal processM/M/1 queue

Copyright information

© J.C. Baltzer AG, Science Publishers 1996