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On the single server queue with preemptive service interruptions

Published online by Cambridge University Press:  14 July 2016

İzzet Şahin
İzzet Şahin*
Affiliation:
University of Ottawa
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Extract

In [4], the limiting behaviour of a stochastic system with two types of input was investigated by reducing the problem to the solution of an integral equation. In this note we use the same approach to study the equilibrium waiting time problem for the general single server queue with preemptive service interruptions. (For a comprehensive account of the existing literature on queues with service interruptions we refer to [2] and [3].)

Type
Short Communications
Information
Journal of Applied Probability , Volume 8 , Issue 4 , December 1971 , pp. 835 - 837
Copyright
Copyright © Applied Probability Trust 1971 

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References

[1] Gaver, D. P. Jr. (1962) A waiting line with interrupted service, including priorities. J. R. Statist. Soc. B 24, 73–90.Google Scholar
[2] Gaver, D. P. Jr. (1965) On priority type disciplines in queuing. Proceedings of the Symposium on Congestion Theory. The Univ. of North Carolina Press. 228–252.Google Scholar
[3] Jaiswal, N. K. (1968) Priority Queues. Academic Press, New York.Google Scholar
[4] Şahin, I. (1971) Equilibrium behavior of a stochastic system with secondary input. J. Appl. Prob. 8, 252–260.Google Scholar