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In Internet environment, traffic flow to a link is typically modeled by superposition of ON/OFF based sources. During each ON-period for a particular source, packets arrive according to a Poisson pr...
We study the relationship between the distribution of the supremum functional M, = sup,,,,,(X(t)-fit) for a process X with stationary, but not necessarily independent increments, and the I limiting...
The paper studies G/G/l queues with heavy-tailed probability distributions of the service times and/or the interarrival times. It relies on the fact that the heavy traffic limiting distribution of t...
Recently, a Heavy Traffic Invariance Principle was proposed by Szczotka and Woyczyliski to characterize the heavy traffic limiting distribution of normalized stationary waiting times of G/G/l queue...
This is an expository review paper illustrating the “martin- gale method” for proving many-server heavy-traffic stochastic-process limits for queueing models, supporting diffusion-process approximatio...
This paper studies heavy traffic behavior of a G/G/1 last-in-first-out (LIFO) preemptive resume queue, by extending the techniques developed in Limic (1999). The queue length process exhibits a perhap...

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