5 citations · 11 across the 4 of their papers we have counts for
Showing math.PRShow all
2 papers · 1 filter
math.PR2005★ 1 cited
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…
math.PR2004★ 5 cited
Poisson Hypothesis for Information Networks (A study in non-linear Markov processes) I. Domain of Validity
A. Rybko, S. Shlosman
In this paper we study the Poisson Hypothesis, which is a device to analyze approximately the behavior of large queueing networks. We prove it in some simple limiting cases. We sho…