V. Q. Rodriguez

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20192022

M^{[X]} / M /1

Processor Sharing Queue with batch arrivals (II)

4 citations · 7 across the 11 of their papers we have counts for

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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 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 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)