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A broad analysis of single server priority queues with two independent input streams, one of them Poisson

Published online by Cambridge University Press:  01 July 2016

R. Schassberger
R. Schassberger*
Affiliation:
University of Calgary
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Abstract

A single server faces a renewal stream of low and another one of high priority customers, one of them being a Poisson stream. For the preemptive resume and head-of-the line disciplines the transient behaviour of the queue is studied. Various limiting distributions are also obtained.

Keywords

QUEUINGPREEMPTIVE PRIORITYHEAD-OF-THE LINE PRIORITYPHASE METHODWIENER-HOPF FACTORIZATION
Type
Research Article
Information
Advances in Applied Probability , Volume 6 , Issue 4 , December 1974 , pp. 666 - 688
Copyright
Copyright © Applied Probability Trust 1974 

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References

[1] Cohen, J. W. (1969) The Single Server Queue. North Holland, Amsterdam.Google Scholar
[2] Hooke, J. A. (1972) A priority queue with low-priority arrivals general. Operat. Res. 20, 373–380.Google Scholar
[3] Hooke, J. A. (1972) Some heavy-traffic limit theorems for a priority queue with general arrivals. Operat. Res. 20, 381–388.Google Scholar
[4] Hooke, J. A. and Prabhu, N. U. (1971) Priority queues in heavy traffic. Opsearch 8, 1–9.Google Scholar
[5] Jaiswal, N. K. (1968) Priority Queues. Academic Press, New York.Google Scholar
[6] Muskhelishvili, N. I. (1946) Singular Integral Equations. P. Noordhoff, Groningen.Google Scholar
[7] Sahin, I. (1970) Some stochastic systems with secondary inputs. , Department of Operations Research, Case Western University.Google Scholar
[8] Schassberger, R. (1972) On the work load process in a general preemptive resume priority queue. J. Appl. Prob. 9, 588–603.Google Scholar
[9] Schassberger, R. (1973) Investigation of queuing and related systems with the phase method. Proceedings of 7th International Teletraffic Congress. Google Scholar
[10] Schassberger, R. (1973) Warteschlangen. Springer, Wien.Google Scholar
[11] Whitt, W. (1971) Weak convergence theorems for priority queues: preemptive resume discipline. J. Appl. Prob. 8, 74–94.Google Scholar