Guillemin Fabrice

Fabrice Guillemin

Information about the author Fabrice Guillemin will soon be added to the site.
Found 8 papers in total
Wireless three‐hop networks with stealing II: exact solutions through boundary value problems
Wireless three‐hop networks with stealing II: exact solutions through boundary value problems
2013
We study the stationary distribution of a random walk in the quarter plane arising in...
Rare event asymptotics for a random walk in the quarter plane
Rare event asymptotics for a random walk in the quarter plane
2011
This paper presents a novel technique for deriving asymptotic expressions for the...
Analysis of the M/M/1 queue with processor sharing via spectral theory
Analysis of the M/M/1 queue with processor sharing via spectral theory
2001
We show in this paper that the computation of the distribution of the sojourn time of...
On a random variable associated with excursions in an M/M/∞ system
On a random variable associated with excursions in an M/M/∞ system
1999
We show in this paper how the theory of continued fractions can be used to invert the...
Continued fraction analysis of the duration of an excursion in an M/M/∞ system
Continued fraction analysis of the duration of an excursion in an M/M/∞ system
1998
We show in this paper how the Laplace transform θ* of the duration θ...
Transient characteristics of an M/M/
Transient characteristics of an M/M/
1995
Convergence results are given for transient characteristics of an M/M/ system such as...
A note on the pathwise version of Little’s formula
A note on the pathwise version of Little’s formula
1993
The classical result of Little states that the average number of customers in a queue...
On pathwise behavior of queues
On pathwise behavior of queues
1992
In this paper the authors study the sample-path behavior of the workload process in a...
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