45 citations · 81 across the 7 of their papers we have counts for
6 papers · 1 filter
Stationary analysis of the shortest queue problem
Plinio S. Dester, Christine Fricker, Danielle Tibi
A simple analytical solution is proposed for the stationary loss system of two parallel queues with finite capacity , in which new customers join the shortest queue, or one of t…
Equivalence of ensembles for large vehicle-sharing models
Christine Fricker, Danielle Tibi
For a class of large closed Jackson networks submitted to capacity constraints, asymptotic independence of the nodes in normal traffic phase is proved at stationarity under mild as…
Explicit Lyapunov functions and estimates of the essential spectral radius for Jackson networks
Irina Ignatiouk-Robert, Danielle Tibi
A family of explicit Lyapunov function for positive recurrent Markovian Jackson network is constructed. With this result we obtain explicit estimates of the tail distribution of th…
Metastability in communication networks
D. Tibi
Two models of loss networks, introduced by Gibbens et al. and by Antunes et al., are known to exhibit a mean field limiting regime with several stable equilibria. These models are…
Spatial homogenization in a stochastic network with mobility
Florian Simatos, Danielle Tibi
A stochastic model for a mobile network is studied. Users enter the network, and then perform independent Markovian routes between nodes where they receive service according to the…
Stochastic networks with multiple stable points
Nelson Antunes, Christine Fricker, Philippe Robert +1
This paper analyzes stochastic networks consisting of a set of finite capacity sites where different classes of individuals move according to some routing policy. The associated Ma…