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1 results

  • A semi-Markov storage model

  • Jerome Senturia, Prem S. Puri
  • Journal:
    Advances in Applied Probability / Volume 5 / Issue 2 / August 1973
    Published online by Cambridge University Press:
    01 July 2016, pp. 362-378
    Print publication:
    August 1973

  • In this paper a storage model is described in which fluctuations in the content are governed by a sequence of independent identically distributed (i.i.d.) random inputs and i.i.d. random releases. This sequence proceeds according to an underlying semi-Markov process. Laplace transforms of the exact distribution of the content are given for the case of negative exponential distributions for both inputs and releases. Exact expressions for limiting (in time) content distributions are found. In the general case, the asymptotic behavior of the content is described for critical and supercritical limiting conditions.