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

J. Preater

11 citations0/0 files storedJournal of Applied Probability

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

Abstract

We relate the equilibrium size of an M/M/8 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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1963Introduction to the Theory of Queues.1993An introduction to queueing theory 2014Elements of Queueing Theory 1983Introduction to Queueing Theory (2nd ed.).1994Perpetuities and Random Equations 1985A Stochastic Model of Fragmentation in Dynamic Storage Allocation 1986Some interesting processes arising as heavy traffic limits in an M/M/∞ storage process

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