51 citations · 263 across the 62 of their papers we have counts for
Showing 2011 · math.PRShow all
3 papers · 2 filters
math.PR2011★ 3 cited
A Lévy input fluid queue with input and workload regulation
Zbigniew Palmowski, Maria Vlasiou, Bert Zwart
We consider a queuing model with the workload evolving between consecutive i.i.d.\ exponential timers according to a spectrally positive Lévy process $Y…
math.PR2011★ 1 cited
Fluid Limits for an ALOHA-type Model with Impatient Customers
Maria Frolkova, Sergey Foss, Bert Zwart
Random multiple-access protocols of type ALOHA are used to regulate networks with a star configuration where client nodes talk to the hub node at the same frequency (finding a wide…
math.PR2011★ 40 cited
Scaling limits via excursion theory: Interplay between Crump-Mode-Jagers branching processes and processor-sharing queues
Amaury Lambert, Florian Simatos, Bert Zwart
We study the convergence of the processor-sharing, queue length process in the heavy traffic regime, in the finite variance case. To do so, we combine results pertaining to…