2 citations · 2 across the 4 of their papers we have counts for
7 papers
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…
Inversion formula with hypergeometric polynomials and its application to an integral equation
Ridha Nasri, Alain Simonian, Fabrice Guillemin
For any complex parameters and , we provide a new class of linear inversion formulas between sequences $S = (S_n)_{n…
A Processor-Sharing model for the Performance of Virtualized Network Functions
Fabrice Guillemin, Veronica Quintuna Rodriguez, Alain Simonian
The parallel execution of requests in a Cloud Computing platform, as for Virtualized Network Functions, is modeled by an Processor-Sharing (PS) system, where each req…
Profit and Strategic Analysis for MNO-MVNO Partnership
Nesrine Ben Khalifa, Amal Benhamiche, Alain Simonian +1
We consider a mobile market driven by two Mobile Network Operators (MNOs) and a new competitor Mobile Virtual Network Operator (MVNO). The MNOs can partner with the entrant MVNO by…