Article ID: | iaor1988341 |
Country: | United States |
Volume: | 4 |
Start Page Number: | 457 |
End Page Number: | 472 |
Publication Date: | Dec 1988 |
Journal: | Communications in Statistics - Stochastic Models |
Authors: | Doorn E.A. van, Jagers A.A., Wit J.S.J. de |
This paper is concerned with a reservoir which receives and releases fluid flows at variable rates such that the net input rate of fluid is uniquely determined by the state of a birth-death process. The authors derive some structural properties which generalize and justify earlier findings for special cases of the model, and obtain explicit results for the equilibrium distribution of the content of the reservoir.