Effective bandwidths at multi-class queues
Queueing Systems: Theory and Applications
Effective bandwidths for the multi-type UAS channel
Queueing Systems: Theory and Applications
On computing per-session performance bounds in high-speed multi-hop computer networks
SIGMETRICS '92/PERFORMANCE '92 Proceedings of the 1992 ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
IEEE/ACM Transactions on Networking (TON)
Performance and stability of communication networks via robust exponential bounds
IEEE/ACM Transactions on Networking (TON)
Effective bandwidths for multiclass Markov fluids and other ATM sources
IEEE/ACM Transactions on Networking (TON)
The Markov-modulated Poisson process (MMPP) cookbook
Performance Evaluation
Quality-of-service issues in high-speed networks
Quality-of-service issues in high-speed networks
Exponential Bounds with an Application to Call Admission
Exponential Bounds with an Application to Call Admission
Exponential bounds with applications to call admission
Journal of the ACM (JACM)
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In this paper we are concerned with a discrete time, single server system in which packets arrive from a finite population of sources. Under the assumption that arrivals from each source are modulated by a Markov process, we consider the following metrics (i) the fraction of an interval during which the queue length exceeds a certain value, and (ii) the fraction of a group of packets from a single source that arrive to find the queue length above a certain value. For both metrics we derive upper and lower bounds on the probabilities that they exceed a threshold. These are important measures because they reflect more accumtely the behavior perceived by applications such as networked audio and video. An application of these results to call admission is also given.