84 citations · 180 across the 18 of their papers we have counts for
Showing math.PRShow all
2 papers · 1 filter
math.PR2021
Singular perturbation for a two-class Processor-Sharing queue with impatience
R. Nasri, F. Simatos, A. Simonian
A two-class Processor-Sharing queue with one impatient class is studied. Local exponential decay rates for its stationary distribution (N, M) are established in the heavy traffic r…
math.PR2020
On the sojourn time of a batch in the Processor Sharing Queue
Fabrice Guillemin, Alain Simonian, Ridha Nasri +1
In this paper, we analyze the sojourn of an entire batch in a processor sharing processor queue, where geometrically distributed batches arrive according to a Poisson…