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Some approximate results for storage systems with continuous inputs

Published online by Cambridge University Press:  14 July 2016

H. G. Herbert
H. G. Herbert*
Affiliation:
University of Western Australia
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Abstract

Some approximate results for infinite capacity storage systems in which the input rate follows a birth and death process are given in this paper. In particular, an immigration-emigration process and an Ehrenfest process are considered. The almost-null-recurrent content distribution is derived when the demand rate is constant. Further, an approximation for the content distribution during a period of excessive over-supply is obtained for the cases of constant demand and demand proportional to the content.

Keywords

INFINITE CAPACITY STORAGE SYSTEMS INPUT RATE A BIRTH AND DEATH PROCESSALMOST-NULL-RECURRENT CONTENT DISTRIBUTIONSAPPROXIMATE CONTENT DISTRIBUTIONS
Type
Research Papers
Information
Journal of Applied Probability , Volume 11 , Issue 2 , June 1974 , pp. 332 - 344
Copyright
Copyright © Applied Probability Trust 1974 

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