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)
A framework for opportunistic scheduling in wireless networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
Wireless data performance in multi-cell scenarios
Proceedings of the joint international conference on Measurement and modeling of computer systems
A queueing analysis of max-min fairness, proportional fairness and balanced fairness
Queueing Systems: Theory and Applications
Stability of multi-class queueing systems with state-dependent service rates
valuetools '06 Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
Performance of random medium access control, an asymptotic approach
SIGMETRICS '08 Proceedings of the 2008 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Traffic capacity of multi-cell WLANS
SIGMETRICS '08 Proceedings of the 2008 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Comparison of bandwidth-sharing policies in a linear network
Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
Stability of two interfering processors with load balancing
Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
Rate stability and output rates in queueing networks with shared resources
Performance Evaluation
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
Elucidating the instability of random access wireless Mesh networks
SECON'09 Proceedings of the 6th Annual IEEE communications society conference on Sensor, Mesh and Ad Hoc Communications and Networks
User Association to Optimize Flow Level Performance in Wireless Systems with Dynamic Interference
NET-COOP '09 Proceedings of the 3rd Euro-NF Conference on Network Control and Optimization
Asymptotically optimal parallel resource assignment with interference
Queueing Systems: Theory and Applications
Monotonicity Properties for Multi-Class Queueing Systems
Discrete Event Dynamic Systems
IEEE/ACM Transactions on Networking (TON)
Understanding and tackling the root causes of instability in wireless mesh networks
IEEE/ACM Transactions on Networking (TON)
Queueing Systems: Theory and Applications
Stability and asymptotic optimality of opportunistic schedulers in wireless systems
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Practical adaptive user association policies for wireless systems with dynamic interference
IEEE/ACM Transactions on Networking (TON)
Markov chains with discontinuous drifts have differential inclusion limits
Performance Evaluation
Product-form results for two-station networks with shared resources
Performance Evaluation
Scheduling in a random environment: stability and asymptotic optimality
IEEE/ACM Transactions on Networking (TON)
| Hi-index | 0.06 |
This paper considers a parallel system of queues fed by independent arrival streams, where the service rate of each queue depends on the number of customers in all of the queues. Necessary and sufficient conditions for the stability of the system are derived, based on stochastic monotonicity and marginal drift properties of multiclass birth and death processes. These conditions yield a sharp characterization of stability for systems where the service rate of each queue is decreasing in the number of customers in other queues, and has uniform limits as the queue lengths tend to infinity. The results are illustrated with applications where the stability region may be nonconvex.