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A semi-Markov storage model

Published online by Cambridge University Press:  01 July 2016

Jerome Senturia  and
Prem S. Puri
Jerome Senturia
Affiliation:
University of Wisconsin, Madison
Prem S. Puri
Affiliation:
Purdue University
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Abstract

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.

Keywords

SEMI-MARKOV PROCESSRANDOM INPUTSRANDOM RELEASESLIMIT BEHAVIORASYMPTOTICS
Type
Research Article
Information
Advances in Applied Probability , Volume 5 , Issue 2 , August 1973 , pp. 362 - 378
Copyright
Copyright © Applied Probability Trust 1973 

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