11 citations · 19 across the 13 of their papers we have counts for
16 papers
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…
Asymptotic analysis of the sojourn time of a batch in an Processor Sharing Queue
Fabrice Guillemin, Alain Simonian, Ridha Nasri +1
In this paper, we exploit results obtained in an earlier study for the Laplace transform of the sojourn time of an entire batch in the Processor Sharing (PS) queu…
Inversion of a Class of Singular Integral Operators on Entire Functions
Ridha Nasri, Alain Simonian, Fabrice Guillemin
Given constants and the space of entire functions in vanishing at , we consider the integro-differential operator $$ \mathfrak{…
On the sojourn time of a batch in the Processor Sharing Queue
Fabrice Guillemin, Alain Simonian, Ridha Nasri +1
In this paper, we analyze the sojourn of an entire batch in a processor sharing processor queue, where geometrically distributed batches arrive according to a Poisson…
A New Linear Inversion Formula for a class of Hypergeometric polynomials
Ridha Nasri, Alain Simonian, Fabrice Guillemin
Given complex parameters , , , and , consider the infinite lower triangular matrix with elements $$ A_{n,k}(x,ν;α,β,γ) =…
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…