Fabrice Michel Guillemin

activity

20062022

most citedIntegration of streaming services and TCP data transmission in the Internet

12 citations · 26 across the 31 of their papers we have counts for

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Showing math.PRShow all

3 papers · 1 filter

math.PR2022

On the number of departures from the $M / M /\infty$ queue in a finite time interval

Fabrice Guillemin

In this paper, we analyze the number of departures from an initially empty $M / M /\infty$ system in a finite time interval. We observe the system during an exponentially distributed…

math.PR2020

On the sojourn time of a batch in the $M^{[X]} / M /1$ 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 $M^{[X]} / M /1$ processor queue, where geometrically distributed batches arrive according to a Poisson…

math.PR2020★ 4 cited

Sojourn time in a $M^{[X]} / M /1$ Processor Sharing Queue with batch arrivals (II)

F. Guillemin, V. K. Quintuna Rodriguez, A. Simonian +1

For the $M^{[X]} / M /1$ processor Sharing queue with batch arrivals, the sojourn time $Ω$ of a batch is investigated. We first show that the distribution of $Ω$ can be generally obta…

On the number of departures from the M/M/∞ queue in a finite time interval

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

Sojourn time in a M[X]/M/1 Processor Sharing Queue with batch arrivals (II)

On the number of departures from the $M / M /\infty$ queue in a finite time interval

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

Sojourn time in a $M^{[X]} / M /1$ Processor Sharing Queue with batch arrivals (II)