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A new approach to the M/G/1 processor-sharing queue

Published online by Cambridge University Press:  01 July 2016

R. Schassberger
R. Schassberger*
Affiliation:
Technische Universität Berlin
*
∗ Postal address: Technische Universität Berlin, Fachbereich 3—Mathematik, Sekt. MA 7–5, 1000 Berlin 12, Strasse des 17. Juni 135, Germany.
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Abstract

The M/G/1 processor-sharing queue is studied by way of an approximating sequence of models featuring a round-robin discipline and operating in discrete time. In particular, residence-time distributions of jobs are derived.

Keywords

TIME SHARINGPRIORITIES

Information

Type
Research Article
Information
Advances in Applied Probability , Volume 16 , Issue 1 , March 1984 , pp. 202 - 213
Copyright
Copyright © Applied Probability Trust 1984 

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References

[1] Coffman, E. G., Muntz, R. R. and Trotter, H. (1970) Waiting time distributions for processor-sharing systems. J. Assoc. Comput. Mach. 17, 123–130.CrossRefGoogle Scholar
[2] Daduna, H. and Schassberger, R. (1981) A discrete-time round-robin queue with Bernoulli input and general arithmetic service time distributions. Acta Informatica 15, 251–263.CrossRefGoogle Scholar
[3] Kitayev, M. Yu. and Yashkov, S. F. (1978) Distribution of the conditional sojourn time in a system with division of time of servicing. Engineering Cybernetics 16, 162–167.Google Scholar
[4] Kitayev, M. Yu. and Yashkov, S. F. (1979) Analysis of a single-channel queueing system with the discipline of uniform sharing of a device. Engineering Cybernetics 17, 42–49.Google Scholar
[5] Kleinrock, L. (1976) Queueing Systems. Vol. 2. Wiley, New York.Google Scholar
[6] Schassberger, R. (1981) On the response time distribution in a round-robin queue. Acta Informatica 16, 57–62.CrossRefGoogle Scholar
[7] Takács, L. (1962) Introduction to the Theory of Queues. Oxford University Press, New York.Google Scholar
[8] Yashkov, S. F. (1981) Some results of analyzing a probabilistic model of remote processing systems. Automat. Control and Computer Sci. 15, 1–8.Google Scholar