fluid limits
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Author(s):  
Łukasz Kruk

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.


2017 ◽  
Vol 89 (3-4) ◽  
pp. 243-268
Author(s):  
Lam M. Nguyen ◽  
Alexander L. Stolyar

2017 ◽  
Vol 109 ◽  
pp. 52-76 ◽  
Author(s):  
Max Tschaikowski ◽  
Mirco Tribastone
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