12 citations · 26 across the 31 of their papers we have counts for
6 papers · 1 filter
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…
On the sojourn of an arbitrary customer in an Processor Sharing Queue
Fabrice Guillemin, Veronica Quintuna Rodriguez
In this paper, we consider the number of both arrivals and departures seen by a tagged customer while in service in a classical processor sharing queue. By exploiting the u…
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…
Analysis of a non-work conserving Generalized Processor Sharing queue
Fabrice Guillemin
We consider in this paper a non work-conserving Generalized Processor Sharing (GPS) system composed of two queues with Poisson arrivals and exponential service times. Using general…
Stationary analysis of the "Shortest Queue First" service policy: the asymmetric case
Fabrice Guillemin, Alain Simonian
As a follow-up to a recent paper considering two symmetric queues, the \textit{Shortest Queue First} service discipline is presently analysed for two general asymmetric queues. Usi…
Stationary analysis of the Shortest Queue First service policy
Fabrice Guillemin, Alain Simonian
We analyze the so-called Shortest Queue First (SQF) queueing discipline whereby a unique server addresses queues in parallel by serving at any time that queue with the smallest wor…