A. Simonian

activity

20162021

most citedProfit and Strategic Analysis for MNO-MVNO Partnership

2 citations · 3 across the 6 of their papers we have counts for

collaborators

Showing 2021Show all

3 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…

cs.PF2021★ 1 cited

Asymptotic analysis of the sojourn time of a batch in an $M^{[X]} / M /1$ 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 $Ω$ of an entire batch in the $M^{[X]} / M /1$ Processor Sharing (PS) queu…

math.CA2021

Inversion of a Class of Singular Integral Operators on Entire Functions

Ridha Nasri, Alain Simonian, Fabrice Guillemin

Given constants $x, ν \in C$ and the space $H_{0}$ of entire functions in $C$ vanishing at $0$ , we consider the integro-differential operator $$ \mathfrak{…

Singular perturbation for a two-class Processor-Sharing queue with impatience

Asymptotic analysis of the sojourn time of a batch in an M[X]/M/1 Processor Sharing Queue

Inversion of a Class of Singular Integral Operators on Entire Functions

Asymptotic analysis of the sojourn time of a batch in an $M^{[X]} / M /1$ Processor Sharing Queue