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An infinite discrete dam with dependent 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

This paper is concerned with an infinite discrete dam fed by inputs which form a moving average sequence. Generating functions are derived for the joint time dependent distribution of the content, accumulated input and total dry time, the distribution of first emptiness, and the stationary content distribution. Also investigated is the problem of first emptiness before overflow for the finite dam.

Keywords

TRANSIENT BEHAVIOURSTATIONARY BEHAVIOURFIRST EMPTINESSINFINITE DISCRETE DAM MOVING AVERAGE INPUT
Type
Research Papers
Information
Journal of Applied Probability , Volume 9 , Issue 2 , June 1972 , pp. 404 - 413
Copyright
Copyright © Applied Probability Trust 1972 

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References

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