Overflow Behavior in Queues with Many Long-Tailed Inputs

We consider a fluid queue fed by the superposition of n homogeneous on-off sources with generally distributed on and off periods. The buffer space B and link rate C are scaled by n, so that we get nb and nc, respectively. Then we let n grow large. In this regime, the overflow probability decays expo...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:Advances in Applied Probability. - Applied Probability Trust. - 32(2000), 4, Seite 1150-1167
1. Verfasser: Mandjes, Michel (VerfasserIn)
Weitere Verfasser: Borst, Sem
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2000
Zugriff auf das übergeordnete Werk:Advances in Applied Probability
Schlagworte:Buffer overflow Large-deviations asymptotics Long-tailed on periods Long-range dependence On-off sources Queueing theory Reduced-load approximation Regular variation Subexponentiality Applied sciences mehr... Mathematics Behavioral sciences Philosophy