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 …
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 …
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 …
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
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 …
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 …
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 …
permanent connections in a network is analyzed. Each of the connections has a self …
Stochastic networks with multiple stable points
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 …
different classes of individuals move according to some routing policy. The associated …
Mean-field framework for performance evaluation of push–pull gossip protocols
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 …
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 …
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 …
connections in a network is analyzed. Connections create congestion at the nodes they …