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

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

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Diffusion Limit for a Finite Capacity Storage Allocation Model;Applied Mathematics Research eXpress;2016-09-02

2. On a storage allocation model with finite capacity;European Journal of Applied Mathematics;2016-02-17

3. The distribution of wasted spaces in the M/M/∞ queue with ranked servers;Advances in Applied Probability;2008-09

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