On the busy period in the queueing system GI/G/1

Author:

Finch P. D.

Abstract

A number of authors have studied busy period problems for particular cases of the general single-server queueing system. For example, using the now standard notation of Kendall [7], GI/M/1 was studied by Conolly [3] and Takacs [18]. Earlier work on M/M/1 includes that of Ledermann and Reuter [8] and Bailey [1]. Kendall [6], Takacs [17], and Prabhu [11] have considered M/G/1.

Publisher

Cambridge University Press (CUP)

Reference21 articles.

1. [19] Takacs L. , Transient behaviour of single queueing processes with Erlang input. To be published.

2. Investigation of waiting time problems by reduction to Markov processes

3. The Wiener-Hopf equation whose kernel is a probability density

4. On the fluctuations of sums of random variables;Sparre Andersen;II. Math. Scand.,1954

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2. Two Probability Theorems and Their Application to Some First Passage Problems;Selected Works of C.C. Heyde;2010

3. A NEW AND DIRECT METHOD OF ANALYSIS THE DEPARTURE PROCESSES OF SINGLE SERVER QUEUEING SYSTEMS;Acta Mathematica Scientia;1996

4. Some reliability problems arising in GIvbGvb1 queueing system with-repairable service station;Microelectronics Reliability;1995-04

5. A new approach to the distribution of the duration of the busy period for a G/G/l queueing system;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1990-02

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