Sojourn times in the M/G/1 FB queue with light-tailed service times

dc.creatorMandjes, Michel
dc.creatorNuyens, Misja
dc.date2003-12-24
dc.date2004-06-09
dc.date.accessioned2026-07-07T05:04:10Z
dc.date.available2026-07-07T05:04:10Z
dc.descriptionThe 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 minimises the decay rate in the class of work-conserving disciplines.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0312444
dc.identifierhttp://arxiv.org/abs/math/0312444
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69699
dc.subjectProbability
dc.subject60K25 (Primary); 68M20; 90B22 (Secondary)
dc.titleSojourn times in the M/G/1 FB queue with light-tailed service times
dc.typetext

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