22 citations · 117 across the 22 of their papers we have counts for
23 papers
Thermodynamical limits for models of car-sharing systems: the Autolib example
Guy Fayolle, Christine Fricker
We analyze mean-field equations obtained for models motivated by a large station-based car-sharing system in France called Autolib. The main focus is on a version where users reser…
Stationary Brownian motion in a 3/4-plane: Reduction to a Riemann-Hilbert problem via Fourier transforms
Guy Fayolle, Sandro Franceschi, Kilian Raschel
The stationary reflected Brownian motion in a three-quarter plane has been rarely analyzed in the probabilistic literature, in comparison with the quarter plane analogue model. In…
On the stationary distribution of reflected Brownian motion in a non-convex wedge
Guy Fayolle, Sandro Franceschi, Kilian Raschel
We study the stationary reflected Brownian motion in a non-convex wedge, which, compared to its convex analogue model, has been much rarely analyzed in the probabilistic literature…
Functional equations as an important analytic method in stochastic modelling and in combinatorics
Guy Fayolle
Functional equations (FE) arise quite naturally in the analysis of stochastic systems of different kinds : queueing and telecommunication networks, random walks, enumeration of pla…
Facing ADAS validation complexity with usage oriented testing
Laurent Raffaëlli, Frédérique Vallée, Guy Fayolle +6
Validating Advanced Driver Assistance Systems (ADAS) is a strategic issue, since such systems are becoming increasingly widespread in the automotive field. ADAS bring extra comfort…
A Markovian Analysis of IEEE 802.11 Broadcast Transmission Networks with Buffering
Guy Fayolle, Paul Muhlethaler
The purpose of this paper is to analyze the so-called back-off technique of the IEEE 802.11 protocol in broadcast mode with waiting queues. In contrast to existing models, packets…