A Discrete-Time Queueing Model with Service Upgrade

Author:

Atencia Ivan1,Fortes Inmaculada1,Sánchez Sixto1

Affiliation:

1. University of Málaga

Abstract

In this paper we analyze a discrete-time queueing system where the server decides whento upgrade the service depending on the information carried by the incoming message. We carry outan extensive analysis of the system developing recursive formulae and generating functions for thestationary distribution of the number of customers in the queue, the system, the busy period and thesojourntimeas well as some numerical examples.

Publisher

Trans Tech Publications, Ltd.

Reference8 articles.

1. H. Bruneel and B.G. Kim: Discrete-time Models for Communication Systems Including ATM. Kluwer Academic Publishers, Boston. (1993).

2. M.E. Woodward: Communication and Computer Networks: Modelling with Discrete-time Queues. IEEE Computer Society Press, California. (1994).

3. T. Meisling: Discrete time queueing theory. Operations Research. V. 6. (1958). pp.96-105.

4. T. Birdsall, M. Ristenbatt and S. Weinstein: Analysis of asynchronous time multiplexing of speech sources. IRE Transactions on Communication Systems. V. 10. (1962). pp.390-397.

5. J. Hunter: Mathematical Techniques of Applied Probability. Operations Research and Industrial Engineering. Academic Press, New York. V. 1. (1983).

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