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

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    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.
    Original languageEnglish
    Pages (from-to)171-174
    Number of pages4
    JournalQueueing Systems: Theory and Applications
    Volume22
    Issue number1-2
    DOIs
    Publication statusPublished - 1996

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