Application of generating functions to a problem in finite dam theory
- 1 August 1959
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 1 (1), 116-120
- https://doi.org/10.1017/s1446788700025143
Abstract
We consider the finite dam model due to Moran, in which the storage {Zt} is known to be a Markov chain. The method of generating functions is used to derive stationary distributions of Zt in the two particular cases where the input is of geometric and negative binomial types.Keywords
This publication has 1 reference indexed in Scilit:
- On Queueing Processes with Bulk ServiceJournal of the Royal Statistical Society Series B: Statistical Methodology, 1954