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Dams with random outputs

Published online by Cambridge University Press:  14 July 2016

P. S. Collings
P. S. Collings*
Affiliation:
University of Sheffield
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Abstract

The results obtained by Lehoczky on the first emptiness of a dam subject to random outputs are extended to a more general model.

Keywords

STORAGE MODELRANDOM OUTPUTSFIRST EMPTINESS
Type
Short Communications
Information
Journal of Applied Probability , Volume 11 , Issue 4 , December 1974 , pp. 858 - 861
Copyright
Copyright © Applied Probability Trust 1974 

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References

Ali Khan, M. S. (1970) Finite dams with inputs forming a Markov chain. J. Appl. Prob. 7, 291–303.Google Scholar
Ali Khan, M. S. and Gani, J. (1968) Infinite dams with inputs forming a Markov chain. J. Appl. Prob. 5, 72–83.Google Scholar
Anis, A. A. and Lloyd, E. H. (1972) Reservoirs with mixed Markovian and independent inflows. SIAM J. Appl. Math. 22, 68–76.Google Scholar
Brockwell, P. J. (1972) A storage model in which the net growth-rate is a Markov chain. J. Appl. Prob. 9, 129–139.Google Scholar
Lehoczky, J. P. (1971) A note on the first emptiness time of an infinite reservoir with inputs forming a Markov chain. J. Appl. Prob. 8, 276–284.Google Scholar
Lehoczky, J. P. (1973) First-emptiness problems in applied probability under first-order dependent input and general output conditions. J. Appl. Prob. 10, 330–341.Google Scholar
Lloyd, E. H. (1963) Reservoirs with serially correlated inflows. Technometrics 5, 85–93.Google Scholar
Shanbhag, D. N. (1973) On the first emptiness of dams with Markovian inputs. J. R. Statist. Soc. B 35, 501–506.Google Scholar