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A storage model in which the net growth-rate is a Markov chain
P. J. Brockwell
Journal:

Journal of Applied Probability / Volume 9 / Issue 1 / March 1972

Published online by Cambridge University Press:

14 July 2016, pp. 129-139

Print publication:

March 1972
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The distribution of the times to first emptiness and first overflow, together with the limiting distribution of content are determined for a dam of finite capacity. It is assumed that the rate of change of the level of the dam is a continuous-time Markov chain with finite state-space (suitably modified when the dam is full or empty).

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A storage model in which the net growth-rate is a Markov chain