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The finite dam

Published online by Cambridge University Press:  14 July 2016

P. B. M. Roes
P. B. M. Roes*
Affiliation:
University of Technology, Delft, Holland and The University of Western Australia, Nedlands
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Extract

Denote by X(t) the total quantity of water flowing into a weir of capacity K in the interval (0, t). Unless the weir is empty, there is a continuous release of water at unit rate; if it becomes full, the excess water overflows instantaneously.

Type
Research Papers
Information
Journal of Applied Probability , Volume 7 , Issue 2 , August 1970 , pp. 316 - 326
Copyright
Copyright © Applied Probability Trust 1970 

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References

[1] Cohen, J. W. (1969) The Single Server Queue. North Holland, Amsterdam.Google Scholar
[2] Doob, J. L. (1953) Stochastic Processes. Wiley, New York.Google Scholar
[3] Loeve, M. (1955) Probability Theory. Van Nostrand, New York.Google Scholar
[4] Prabhu, N. U. (1964) Time-dependent results in storage theory. J. Appl. Prob. 1, 1–46.CrossRefGoogle Scholar
[5] Takács, L. (1967) Combinatorial Methods in the Theory of Stochastic Processes. Wiley, New York.Google Scholar