Ballot theorems applied to the transient analysis of nD/D/1 queues
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
Proof of a fundamental result in self-similar traffic modeling
ACM SIGCOMM Computer Communication Review
The busy period in the fluid queue
SIGMETRICS '98/PERFORMANCE '98 Proceedings of the 1998 ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
Markov-modulated Feedforward Fluid Networks
Queueing Systems: Theory and Applications
Asymptotics for M/G/1 low-priority waiting-time tail probabilities
Queueing Systems: Theory and Applications
On–off fluid models in heavy traffic environment
Queueing Systems: Theory and Applications
Traffic with an fBm Limit: Convergence of the Stationary Workload Process
Queueing Systems: Theory and Applications
A TANDEM FLUID QUEUE WITH GRADUAL INPUT
Probability in the Engineering and Informational Sciences
Asymptotic analysis of Lévy-driven tandem queues
Queueing Systems: Theory and Applications
On a generic class of two-node queueing systems
Queueing Systems: Theory and Applications
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In this article we present a new representation for the steady-state distribution of the workload of the second queue in a two-node tandem network. It involves the difference of two suprema over two adjacent intervals. In the case of spectrally positive Lévy input, this enables us to derive the Laplace transform and Pollaczek–Khintchine representation of the workload of the second queue. Additionally, we obtain the exact distribution of the workload in the case of Brownian and Poisson input, as well as some insightful formulas representing the exact asymptotics for &agr;-stable Lévy inputs.