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math.PR2020
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…
math.PR2019
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…