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Stability of preemptive EDF queueing networks

100%

Kruk Ł.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2019

tom 73

nr 2

We show stability of preemptive, strictly subcritical EDF networks with Markovian routing. To this end, we prove that the associated fluid limits satisfy the first-in-system, first-out (FISFO) fluid model equations and thus, by an extension of a result of Bramson (2001), the corresponding fluid models are stable. We also demonstrate that in a preemptive multiclass EDF network, after a time large enough to process all the initial customers to completion, the maximal number of partially served customers in the system over a finite time horizon converges to zero in \(L^1\) under fluid scaling.

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1 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

1 Kruk Ł.

1 2019

Wyniki wyszukiwania

Stability of preemptive EDF queueing networks