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1 results

  • Characterization of the Output Rate Process for a Markovian Storage Model

  • Part of
  • Samuli Aalto
  • Journal:
    Journal of Applied Probability / Volume 35 / Issue 1 / March 1998
    Published online by Cambridge University Press:
    14 July 2016, pp. 184-199
    Print publication:
    March 1998

  • We consider storage models where the input rate and the demand are modulated by a Markov jump process. One particular example from teletraffic theory is a fluid model of a multiplexer loaded by exponential on-off sources. Although the storage level process has been widely studied, little attention has been paid to the output rate process. We will show that, under certain assumptions, there exists another Markov jump process that modulates the output rate. The modulating process is explicitly constructed. It turns out to be a modification of a GI/G/1 queueing process