A generic mean field convergence result for systems of interacting objects

JY Le Boudec, D McDonald… - … conference on the …, 2007 - ieeexplore.ieee.org
We consider a model for interacting objects, where the evolution of each object is given by a
finite state Markov chain, whose transition matrix depends on the present and the past of the …

Analysis of a reputation system for mobile ad-hoc networks with liars

J Mundinger, JY Le Boudec - Performance evaluation, 2008 - Elsevier
The application of decentralized reputation systems is a promising approach to ensure
cooperation and fairness, as well as to address random failures and malicious attacks in …

Fast jackson networks

JB Martin, YM Suhov - The Annals of Applied Probability, 1999 - projecteuclid.org
We extend the results of Vvedenskaya, Dobrushin and Karpelevich to Jackson networks.
Each node $ j, 1\leq j\leq J $ of the network consists of N identical channels, each with an …

Meanfield analysis for the evaluation of gossip protocols

R Bakhshi, L Cloth, W Fokkink… - ACM SIGMETRICS …, 2008 - dl.acm.org
Gossip protocols are designed to operate in very large, decentralised networks. A node in
such a network bases its decision to interact (gossip) with another node on its partial view of …

Dobrushin's mean-field approximation for a queue with dynamic routing

ND Vvedenskaya, YM Suhov - 1997 - inria.hal.science
A queueing system is considered, with a large number $ N $ of identical infinite-buffer FCFS
single-servers. The system is fed by a Poisson flow of rate $\l N $, with iid service times …

Interacting multi-class transmissions in large stochastic networks

C Graham, P Robert - 2009 - projecteuclid.org
The mean-field limit of a Markovian model describing the interaction of several classes of
permanent connections in a network is analyzed. Each of the connections has a self …

Stochastic networks with multiple stable points

N Antunes, C Fricker, P Robert, D Tibi - 2008 - projecteuclid.org
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 …

Mean-field framework for performance evaluation of push–pull gossip protocols

R Bakhshi, L Cloth, W Fokkink, BR Haverkort - Performance Evaluation, 2011 - Elsevier
Gossip protocols are designed to operate in very large, decentralised networks. A node in
such a network bases its decision to interact (gossip) with another node on its partial view of …

Fast Jackson networks with dynamic routing

YM Suhov, ND Vvedenskaya - Problems of Information Transmission, 2002 - Springer
A new class of models of queueing networks with load-balanced dynamic routing is
considered. We propose a sufficient condition for positive recurrence of the arising Markov …

A multi-class mean-field model with graph structure for TCP flows

C Graham, P Robert - Progress in industrial mathematics at ECMI 2008, 2010 - Springer
A Markovian mean-field multi-class model for the interaction of several classes of permanent
connections in a network is analyzed. Connections create congestion at the nodes they …