A storage model in which the net growth-rate is a Markov chain
- 1 March 1972
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 9 (1) , 129-139
- https://doi.org/10.2307/3212642
Abstract
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).Keywords
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