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On a general mixed priority queue with server discretion

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SM_UWOpenAccess.pdf (373.66 KB)

Date

2016-10-01

Authors

Fajardo, Val Andrei
Drekic, Steve

Journal Title

Journal ISSN

Volume Title

Publisher

Taylor & Francis

Abstract

We consider a single-server queueing system which attends to N priority classes that are classified into two distinct types: (i) urgent: classes which have preemptive resume priority over at least one lower priority class, and (ii) non-urgent: classes which only have non-preemptive priority among lower priority classes. While urgent customers have preemptive priority, the ultimate decision on whether to interrupt a current service is based on certain discretionary rules. An accumulating prioritization is also incorporated. The marginal waiting time distributions are obtained and numerical examples comparing the new model to other similar priority queueing systems are provided.

Description

This is an Accepted Manuscript of an article published by Taylor & Francis in Stochastic Models on June, 24, 2016, available online: http://dx.doi.org/10.1080/15326349.2016.1193753.

Keywords

Accumulating priority, Laplace–Stieltjes transform, Mixed priority queue, Server discretion rules, Waiting time distribution

LC Keywords

Citation

URI

http://dx.doi.org/10.1080/15326349.2016.1193753
 http://hdl.handle.net/10012/12007

Collections

Waterloo Research
Statistics and Actuarial Science