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- W2952359312 abstract "The classical output theorem for the M/M/1 queue, due to Burke (1956), states that the departure process from a stationary M/M/1 queue, in equilibrium, has the same law as the arrivals process, that is, it is a Poisson process. In this paper we show that the associated measure-preserving transformation is metrically isomorphic to a two-sided Bernoulli shift. We also discuss some extensions of Burke's theorem where it remains an open problem to determine if, or under what conditions, the analogue of this result holds." @default.
- W2952359312 created "2019-06-27" @default.
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- W2952359312 date "2008-04-24" @default.
- W2952359312 modified "2023-09-27" @default.
- W2952359312 title "The M/M/1 queue is Bernoulli" @default.
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