Dams with additive inputs revisited
- 1 June 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 14 (02) , 367-374
- https://doi.org/10.1017/s0021900200105042
Abstract
In this paper we consider a finite dam with unit release. Ratio identities are derived for the various random walks involved, and from them are derived the p.g.f. of the time of first emptiness with and without overflow and the complete time-dependent distribution of the dam content.Keywords
This publication has 3 references indexed in Scilit:
- The finite dam with discrete additive inputJournal of Engineering Mathematics, 1972
- A note on random walksJournal of Applied Probability, 1971
- Time-dependent results in storage theoryJournal of Applied Probability, 1964