Research Article
Stability of multi-class queueing systems with state-dependent service rates
@INPROCEEDINGS{10.1145/1190095.1190114, author={Matthieu Jonckheere and Sem Borst}, title={Stability of multi-class queueing systems with state-dependent service rates}, proceedings={1st International ICST Conference on Performance Evaluation Methodologies and Tools}, publisher={ACM}, proceedings_a={VALUETOOLS}, year={2012}, month={4}, keywords={stability state-dependent service rates stochastic comparisons.}, doi={10.1145/1190095.1190114} }- Matthieu Jonckheere
Sem Borst
Year: 2012
Stability of multi-class queueing systems with state-dependent service rates
VALUETOOLS
ACM
DOI: 10.1145/1190095.1190114
Abstract
We examine the stability of multi-class queueing systems with the special feature that the service rates of the various classes depend on the number of users present of each of the classes. As a result, the various classes interact in a complex dynamic fashion. Such models arise in several contexts, especially in wireless networks, as resource sharing algorithms become increasingly elaborate, giving rise to scaling efficiencies and complicated interdependencies among traffic classes. Under certain monotonicity assumptions we provide an exact characterization of stability region. We also discuss how some of the results extend to weaker notions of monotonicity. The results are illustrated for simple examples of wireless networks with two or three interfering base stations.
