A Two Priority Queue with Crossover Feedback

Authors:
E. M. Jewkes;D. A. Stanford
Affiliations:
Department of Management Sciences, University of Waterloo, Waterloo, ON, Canada N2L 3G1 emjewkes@uwaterloo.ca;Department of Statistics and Acturial Sciences, University of Western Ontario, London, ON, Canada N6A 5B7 stanford@stats.uwo.ca
Venue:
Queueing Systems: Theory and Applications
Year:
2003

Citing 3
Cited 2

Flow time distributions in a K class M/G/1 priority feedback queue

Queueing Systems: Theory and Applications
Priority Queues with Feedback

Journal of the ACM (JACM)
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Theory, Volume 1, Queueing Systems

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Abstract

This paper considers the delay distributions in a two-class non-preemptive priority queue with crossover feedback. Specifically, there are two priority classes, and the Poisson arrival process for each class can be subdivided into two groups: one group which only requires service at the priority level to which it arrives, and another group which requires subsequent service after it feeds back to the other queue. Our main result is the determination of explicit expressions for the distribution of delay until final service commences for each the four types of customers.