NDLI: SOJOURN TIMES IN THE M/G/1 FB QUEUE WITH LIGHT-TAILED SERVICE TIMES

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SOJOURN TIMES IN THE M/G/1 FB QUEUE WITH LIGHT-TAILED SERVICE TIMES

Content Provider	Scilit
Author	Mandjes, M. Nuyens, M.
Copyright Year	2005
Description	The asymptotic decay rate of the sojourn time of a customer in the stationary M/G/1 queue under the foreground–background (FB) service discipline is studied. The FB discipline gives service to those customers that have received the least service so far. We prove that for light-tailed service times, the decay rate of the sojourn time is equal to the decay rate of the busy period. It is shown that FB minimizes the decay rate in the class of work-conserving disciplines.
Related Links	https://ir.cwi.nl/pub/4039/04039D.pdf https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E6850301484C5C601ECA804238217AB2/S0269964805050205a.pdf/div-class-title-sojourn-times-in-the-span-class-italic-m-span-span-class-italic-g-span-1-fb-queue-with-light-tailed-service-times-div.pdf
Ending Page	361
Page Count	11
Starting Page	351
ISSN	02699648
e-ISSN	14698951
DOI	10.1017/s0269964805050205
Journal	Probability in the Engineering and Informational Sciences
Issue Number	3
Volume Number	19
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2005-04-01
Access Restriction	Open
Subject Keyword	Probability in the Engineering and Informational Sciences Decay Rate M G 1 Queue Foreground Background
Content Type	Text
Resource Type	Article
Subject	Industrial and Manufacturing Engineering Statistics and Probability Management Science and Operations Research Statistics, Probability and Uncertainty

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