22 citations · 117 across the 22 of their papers we have counts for
7 papers · 1 filter
Modeling a Case of Herding Behavior in a Multi-Player Game
Guy Fayolle, Jean-Marc Lasgouttes
The system mentioned in the title belongs to the family of the so-called massively multi-player online social games (MMOSG). It features a scoring system for the elements of the ga…
Birth and death processes on certain random trees: Classification and stationary laws
Guy Fayolle, Maxim Krikun, Jean-Marc Lasgouttes
The main substance of the paper concerns the growth rate and the classification (ergodicity, transience) of a family of random trees. In the basic model, new edges appear according…
Best-effort networks: modeling and performance analysis via large networks asymptotics
Guy Fayolle, Arnaud De La Fortelle, Jean-Marc Lasgouttes +2
In this paper we introduce a class of Markov models, termed best-effort networks, designed to capture performance indices such as mean transfer times in data networks with best-eff…
A nonlinear integral operator encountered in the bandwidth sharing of a star-shaped network
Guy Fayolle, Jean-Marc Lasgouttes
We consider a symmetrical star-shaped network, in which bandwidth is shared among the active connections according to the "min" policy. Starting from a chaos propagation hypothesis…
Asymptotics and scalings for large product-form networks via the Central Limit Theorem
Guy Fayolle, Jean-Marc Lasgouttes
The asymptotic behaviour of a closed BCMP network, with queues and clients, is analyzed when and become simultaneously large. Our method relies on Berry-Esseen…
A State-Dependent Polling Model with Markovian Routing
Guy Fayolle, Jean-Marc Lasgouttes
A state-dependent 1-limited polling model with N queues is analyzed. The routing strategy generalizes the classical Markovian polling model, in the sense that two routing matrices…