Stochastic ordering for Markov processes on partially ordered spaces
Mathematics of Operations Research
Stability and performance analysis of networks supporting elastic services
IEEE/ACM Transactions on Networking (TON)
Impact of fairness on Internet performance
Proceedings of the 2001 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
A framework for opportunistic scheduling in wireless networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
SCHEDULING IN A QUEUING SYSTEM WITH ASYNCHRONOUSLY VARYING SERVICE RATES
Probability in the Engineering and Informational Sciences
Wireless data performance in multi-cell scenarios
Proceedings of the joint international conference on Measurement and modeling of computer systems
User-level performance of channel-aware scheduling algorithms in wireless data networks
IEEE/ACM Transactions on Networking (TON)
Opportunistic beamforming using dumb antennas
IEEE Transactions on Information Theory
Flow-level stability of data networks with non-convex and time-varying rate regions
Proceedings of the 2007 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Stability of Parallel Queueing Systems with Coupled Service Rates
Discrete Event Dynamic Systems
Stability, fairness, and performance: a flow-level study on nonconvex and time-varying rate regions
IEEE Transactions on Information Theory
Flow-level performance and capacity of wireless networks with user mobility
Queueing Systems: Theory and Applications
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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.