A perpetuity and the M/M/∞ ranked server system-Reference-Cited by-同舟云学术

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

Published:1997-06 Issue:2 Volume:34 Page:508-513
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Preater J.

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.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference10 articles.

1. Perpetuities and Random Equations

2. A Stochastic Model of Fragmentation in Dynamic Storage Allocation

3. Some interesting processes arising as heavy traffic limits in an M/M/∞ storage process

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