A perpetuity and the M/M/∞ ranked server system

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Article ID:	iaor1998973
Country:	United Kingdom
Volume:	34
Issue:	2
Start Page Number:	508
End Page Number:	513
Publication Date:	Jun 1997
Journal:	Journal of Applied Probability
Authors:	Preater J.
Keywords:	M/M/ queues

Abstract:

We relate the equilibrium size of an M/M/∞ type queue having an intermittent arrival stream to a perpetuity, the solution of a random difference equation. One consequence is a classical result for ranked server systems, previously obtained by generating function methods.

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