The single-server queue with random service output

Author:

Boxma O. J.

Abstract

In this paper a problem arising in queueing and dam theory is studied. We shall consider a G/G*/1 queueing model, i.e., a G/G/1 queueing model of which the service process is a separable centered process with stationary independent increments. This is a generalisation of the well-known G/G/1 model with constant service rate.Several results concerning the amount of work done by the server, the busy cycles etc., are derived, mainly using the well-known method of Pollaczek. Emphasis is laid on the similarities and dissimilarities between the results of the ‘classical’ G/G/1 model and the G/G*/1 model.

Publisher

Cambridge University Press (CUP)

Subject

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

Cited by 7 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. The Workload in the M/G/1 Queue with Work Removal;Probability in the Engineering and Informational Sciences;1996-04

2. A STORAGE PROCESS WITH NON-CONSTANT INFLOW AND OUTFLOW;Mathematical Modelling in Science and Technology;1984

3. Stationary queuing systems with dependencies;Journal of Soviet Mathematics;1983

4. Control of arrivals to a stochastic input–output system;Advances in Applied Probability;1980-12

5. Control of arrivals to a stochastic input–output system;Advances in Applied Probability;1980-12

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