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A dam with inverse Gaussian input

Published online by Cambridge University Press:  24 October 2008

A. M. Hasofer
A. M. Hasofer
Affiliation:
University of Tasmania
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Extract

Gani and Prabhu (1) have presented a general theory of storage for dams subject to a steady release. At time t ≥ 0, let a dam of infinite capacity have a continuous random content Z(t) ≥ 0; the input X(t) ≥ 0 which has entered it during time t follows an infinitely divisible distribution, while the dam is subject to a steady release at constant unit rate except if it is empty, when the release ceases. A procedure is obtained whereby various functions describing the transient behaviour of Z(t) can be calculated in principle.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 4 , October 1964 , pp. 931 - 933
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1)Gani, J. and Prabhu, N. U.A storage model with continuous infinitely divisible inputs. Proc. Cambridge Philos. Soc. 59 (1963), 417–430.CrossRefGoogle Scholar
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