A finite dam with variable release rate
Author:
- 1 March 1975
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 12 (01) , 205-211
Abstract
This note considers a finite dam fed by independently and identically distributed (i.i.d.) inputs, being either (i) of at least size β (> 0) or (ii) negative exponentially distributed, occurring in a Poisson process. The instantaneous release rate may be a function r(·) of the content; additional and numerical results are given for the special case where r(x) = µxα (0 ≦ α<∞, 0 < µ <∞) is proportional to the αth power of the content. The basic method used in [7] for the special case r(x) = µx for obtaining the distribution of the number of steps and of the time to first overflowing is shown to carry over almost completely in case (i), but only partially so in case (ii).Keywords
This publication has 4 references indexed in Scilit:
- A finite dam with exponential releaseJournal of Applied Probability, 1974
- On dams with additive inputs and a general release ruleJournal of Applied Probability, 1972
- A simple model for a dam in continuous time with Markovian inputProbability Theory and Related Fields, 1972
- A theory of dams with continuous input and a general release ruleJournal of Applied Probability, 1969