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

Cheung, Sing-Kong; Kim, Bara; Kim, Jeongsim

doi:10.1016/j.peva.2007.11.001

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

Cheung, Sing-Kong;
Kim, Bara;
Kim, Jeongsim

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초록

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.

키워드

slowdown; fairness; M/M/1 queue; discriminatory processor-sharing; egalitarian processor-sharing; SOJOURN TIME DISTRIBUTION; LENGTH DISTRIBUTION; SYSTEMS; MODELS

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

저자: Cheung, Sing-Kong; Kim, Bara; Kim, Jeongsim

DOI: 10.1016/j.peva.2007.11.001

발행일: 2008-07

유형: Article

저널명: Performance Evaluation

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호: 8

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