12 citations · 56 across the 15 of their papers we have counts for
8 papers · 2 filters
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…
Waiting time asymptotics in the single server queue with service in random order
Onno Boxma, Sergey Foss, Jean-Marc Lasgouttes +1
We consider the single server queue with service in random order. For a large class of heavy-tailed service time distributions, we determine the asymptotic behavior of the waiting…
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…
Stationary IPA Estimates for Non-Smooth G/G/1/ Functionals via Palm Inversion and Level-Crossing Analysis
Pierre Bremaud, Jean-Marc Lasgouttes
We give stationary estimates for the derivative of the expectation of a non-smooth function of bounded variation f of the workload in a G/G/1/ queue, with respect to a para…