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Infinite capacity storage processes

Published online by Cambridge University Press:  09 April 2009

Floyd I. John
Floyd I. John
Affiliation:
Stanford Research Institute
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In this paper we shall discuss infinite capacity storage processes in which periods of input and output alternate. The length of a period of input and the length of the period of output immediately following may be statistically dependent and the change in storage level during an input or output period may depend on the length of the time interval in a rather general manner. However, we do not exploit either of these facts in the present paper.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 6 , Issue 1 , February 1966 , pp. 30 - 35
Copyright
Copyright © Australian Mathematical Society 1966

References

[1]Moran, P. A. P., The theory of storage, Methuen, London, 1959.Google Scholar
[2]Prabhu, N. U., “Time dependent results in storage theory”, J. Appl. Prob., 1 (1964), 1–46.CrossRefGoogle Scholar
[3]Kemperman, J. H. B., The passage problem for a stationary Markov chain, Univ. Chicago Press, 1961.CrossRefGoogle Scholar
[4]Spitzer, F., “A combinatorial lemma and its applications to probability theory”, Trans. Amer. Math. Soc., 82 (1956), 323–339.CrossRefGoogle Scholar
[5]Gani, J. and Prabhu, N. U., “Stationary distributions of the negative exponential type for the infinite dam”, J. Roy. Stat. Soc., (B) 19 (1957), 342–351.Google Scholar