A stability criterion via fluid limits and its application to a polling system

Authors:
Serguei Foss;Artyom Kovalevskii
Affiliations:
Institute of Mathematics, 630090 Novosibirsk, Russia E-mail: foss@math.nsc.ru;Novosibirsk State Technical University, 630080 Novosibirsk, Russia E-mail: artem@redhouse.itc.nstu.ru
Venue:
Queueing Systems: Theory and Applications
Year:
1999

Citing 1
Cited 5

Discrete flow networks: bottleneck analysis and fluid approximations

Mathematics of Operations Research

On the Stability of a Queueing System with Uncountably Branching Fluid Limits

Problems of Information Transmission
Controlled jump Markov processes with local transitions and their fluid approximation

WSEAS Transactions on Systems and Control
Stability of multi-server polling system with server limits

Queueing Systems: Theory and Applications
Stability analysis of N-model systems under a static priority rule

Queueing Systems: Theory and Applications
Coupling method for asymptotic analysis of queues with regenerative input and unreliable server

Queueing Systems: Theory and Applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

We introduce a generalized criterion for the stability of Markovian queueing systems in terms of stochastic fluid limits. We consider an example in which this criterion may be applied: a polling system with two stations and two heterogeneous servers.