IEEE/ACM Transactions on Networking (TON)
Performance and stability of communication networks via robust exponential bounds
IEEE/ACM Transactions on Networking (TON)
Open issues and challenges in providing quality of service guarantees in high-speed networks
ACM SIGCOMM Computer Communication Review
IEEE/ACM Transactions on Networking (TON)
Effective bandwidth and fast simulation of ATM intree networks
Performance '93 Proceedings of the 16th IFIP Working Group 7.3 international symposium on Computer performance modeling measurement and evaluation
Large deviations and the generalized processor sharing scheduling for a two-queue system
Queueing Systems: Theory and Applications
Bounds, approximations and applications for a two-queue GPS system
INFOCOM'96 Proceedings of the Fifteenth annual joint conference of the IEEE computer and communications societies conference on The conference on computer communications - Volume 3
Bandwidth allocation for multiple qualities of service using generalized processor sharing
IEEE Transactions on Information Theory
Statistical analysis of the generalized processor sharing scheduling discipline
IEEE Journal on Selected Areas in Communications
Effective bandwidth in high-speed digital networks
IEEE Journal on Selected Areas in Communications
Generalized processor sharing with heterogeneous traffic classes
ACM SIGMETRICS Performance Evaluation Review
Queueing Systems: Theory and Applications
A most probable path approach to queueing systems with general Gaussian input
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Advances in modeling and engineering of Longe-Range dependent traffic
Finite buffer queue with generalized processor sharing and heavy-tailed input processes
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Advances in modeling and engineering of Longe-Range dependent traffic
Generalized processor sharing with light-tailed and heavy-tailed input
IEEE/ACM Transactions on Networking (TON)
GPS scheduling: selection of optimal weights and comparison with strict priorities
SIGMETRICS '06/Performance '06 Proceedings of the joint international conference on Measurement and modeling of computer systems
ACM SIGMETRICS Performance Evaluation Review
Computers and Operations Research
A note on the delay distribution in GPS
Operations Research Letters
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We establish asymptotic upper and lower bounds on the asymptotic decay rate of per-session queue length tail distributions for a multiple-queue system where a single constant rate server services the queues using the generalized processor sharing (GPS) scheduling discipline. In the special case where there are only two queues, the upper and lower bounds match, yielding the optimal bound proved in [15]. The dynamics of bandwidth sharing of a multiple-queue GPS system is captured using the notion of partial feasible sets, and the bounds are obtained using the sample-path large deviation principle. The results have implications in call admission control for high-speed communication networks.