20 citations · 22 across the 3 of their papers we have counts for
3 papers
math.PR2006
Processor Sharing Queues with Impatience
Christian H. Gromoll, Philippe Robert, Bert Zwart
We investigate a processor sharing queue with renewal arrivals and generally distributed service times. Impatient jobs may abandon the queue, or renege, before completing service.…
math.PR2005★ 2 cited
A large-deviations analysis of the GI/GI/1 SRPT queue
Misja Nuyens, Bert Zwart
We consider a GI/GI/1 queue with the shortest remaining processing time discipline (SRPT) and light-tailed service times. Our interest is focused on the tail behavior of the sojour…
math.PR2005★ 20 cited
Subexponential asymptotics of hybrid fluid and ruin models
Bert Zwart, Sem Borst, Krzystof Debicki
We investigate the tail asymptotics of the supremum of X(t)+Y(t)-ct, where X={X(t),t\geq 0} and Y={Y(t),t\geq 0} are two independent stochastic processes. We assume that the proces…