A storage model with a two-state random environment
Operations Research - Supplement to Operations Research: stochastic processes
IEEE/ACM Transactions on Networking (TON)
Performance '93 Proceedings of the 16th IFIP Working Group 7.3 international symposium on Computer performance modeling measurement and evaluation
Analysis of a nonpreemptive priority queue with SPP arrivals of high class
Performance Evaluation
Effective bandwidths with priorities
IEEE/ACM Transactions on Networking (TON)
Asymptotics for M/G/1 low-priority waiting-time tail probabilities
Queueing Systems: Theory and Applications
The BMAP/G/1 QUEUE: A Tutorial
Performance Evaluation of Computer and Communication Systems, Joint Tutorial Papers of Performance '93 and Sigmetrics '93
INFOCOM '95 Proceedings of the Fourteenth Annual Joint Conference of the IEEE Computer and Communication Societies (Vol. 2)-Volume - Volume 2
Effective bandwidths of departure processes from queues with time varying capacities
INFOCOM '95 Proceedings of the Fourteenth Annual Joint Conference of the IEEE Computer and Communication Societies (Vol. 3)-Volume - Volume 3
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
IEEE Journal on Selected Areas in Communications
Resource management in wide-area ATM networks using effective bandwidths
IEEE Journal on Selected Areas in Communications
Priority queueing systems: from probability generating functions to tail probabilities
Queueing Systems: Theory and Applications
Geometric tail of queue length of low-priority customers in a nonpreemptive priority MAP/PH/1 queue
Queueing Systems: Theory and Applications
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We consider the problem of estimating tail probabilities of waiting times in statistical multiplexing systems with two classes of sources – one with high priority and the other with low priority. The priority discipline is assumed to be nonpreemptive. Exact expressions for the transforms of these quantities are derived assuming that packet or cell streams are generated by Markovian Arrival Processes (MAPs). Then a numerical investigation of the large-buffer asymptotic behavior of the the waiting-time distribution for low-priority sources shows that these asymptotics are often non-exponential.