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Slowdown in the M/M/1 discriminatory processor-sharing queue

Authors
Cheung, Sing-KongKim, BaraKim, Jeongsim
Issue Date
7월-2008
Publisher
ELSEVIER SCIENCE BV
Keywords
slowdown; fairness; M/M/1 queue; discriminatory processor-sharing; egalitarian processor-sharing
Citation
PERFORMANCE EVALUATION, v.65, no.8, pp.586 - 605
Indexed
SCIE
SCOPUS
Journal Title
PERFORMANCE EVALUATION
Volume
65
Number
8
Start Page
586
End Page
605
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/123327
DOI
10.1016/j.peva.2007.11.001
ISSN
0166-5316
Abstract
We consider a queue with multiple K job classes, Poisson arrivals, and exponentially distributed required service times in which a single processor serves according to the discriminatory processor-sharing (DPS) discipline. For this queue, we obtain the first and second moments of the slowdown, which is a measure for queueing fairness. We then. provide numerical examples and discuss aspects of the slowdown in the DPS queue. (c) 2007 Elsevier B.V. All rights reserved.
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