A fluid reservoir regulated by a birth-death process

A fluid reservoir regulated by a birth-death process

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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: , ,
Abstract:

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.

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