11 citations · 19 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
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…
Mobility can drastically improve the heavy traffic performance from 1/(1-rho) to -log(1-rho)
Florian Simatos, Alain Simonian
We study a model of wireless networks where users move at speed s, which has the original feature of being defined through a fixed-point equation. Namely, we start from a two-class…
Cache Miss Estimation for Non-Stationary Request Processes
Felipe Olmos, Carl Graham, Alain Simonian
The aim of the paper is to evaluate the miss probability of a Least Recently Used (LRU) cache, when it is offered a non-stationary request process given by a Poisson cluster point…