A Fluid Reservoir Regulated by a Birth-Death Process

Erik A. van Doom · A. A. Jagers · J.S.J. de Wit

30 citations0/0 files storedStochastic Models

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Advanced Queuing Theory Analysis Probability and Statistical Research Stochastic processes and statistical mechanics

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. We 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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1982Stochastic Theory of a Data-Handling System with Multiple Sources 1982Channels that Cooperatively Service a Data Stream and Voice Messages

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