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A stationary Poisson departure process from a minimally delayed infinite server queue with non-stationary Poisson arrivals
Published online by Cambridge University Press: 14 July 2016
Abstract
The points of a non-stationary Poisson process with periodic intensity are independently shifted forward in time in such a way that the transformed process is stationary Poisson. The mean shift is shown to be minimal. The approach used is to consider an Mt/Gt/∞ queueing system where the arrival process is a non-stationary Poisson with periodic intensity function. A minimal service time distribution is constructed that yields a stationary Poisson departure process.
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- Copyright © Applied Probability Trust 1997
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