5 citations · 10 across the 5 of their papers we have counts for
5 papers · 1 filter
Metastability of Queuing Networks with Mobile Servers
F. Baccelli, A. Rybko, S. Shlosman +1
We study symmetric queuing networks with moving servers and FIFO service discipline. The mean-field limit dynamics demonstrates unexpected behavior which we attribute to the meta-s…
Propagation of Chaos and Poisson Hypothesis
Serge Pirogov, Alexander Rybko, Senya Shlosman +1
We establish the Strong Poisson Hypothesis for symmetric closed networks. In particular, the asymptotic independence of the nodes -- as the size of the system tends to infinity --…
Poisson Hypothesis for Open Networks at Low Load
Alexandre Rybko, Senya Shlosman, Alexandre Vladimirov
We study large communication networks of the mean-field type. The input flows to the nodes of the network are supposed to be stationary and with low rate. We show that such a netwo…
Queuing Networks with Varying Topology -- A Mean-Field Approach
François Baccelli, Alexandre Rybko, Senya Shlosman
We consider the queuing networks, which are made from servers, exchanging their positions. The customers, using the network, try to reach their destinations, which is complicated b…
Self-averaging property of queuing systems
Alexandre Rybko, Senya Shlosman, Alexandre Vladimirov
We establish the averaging property for a queuing process with one server, M(t)/GI/1. It is a new relation between the output flow rate and the input flow rate, crucial in the stud…