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The departure process for the M/M/1 queue
John R. Hubbard, Claude Dennis Pegden, Matthew Rosenshine
Journal:

Journal of Applied Probability / Volume 23 / Issue 1 / March 1986

Published online by Cambridge University Press:

14 July 2016, pp. 249-255

Print publication:

March 1986
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The problem of determining the probability of j departures during the time interval (0, t) from an M/M/l queue empty at t = 0 is considered. A closed-form solution is obtained. It is shown that this solution is unique and invariant under interchanging the arrival rate and service rate. Finally, sample computational representations of the solution are developed and results of a simple computation are provided.

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The departure process for the M/M/1 queue