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Tail Probabilities of Low-Priority Waiting Times and Queue Lengths in MAP/GI/1 Queues (1997)  (Make Corrections)  (2 citations)
Vijay G. Subramanian, R. Srikant
Queueing Systems



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Abstract: 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 we numerically investigate the large-buffer asymptotic behavior of the the... (Update)

Context of citations to this paper:   More

...queuing delay for the packets of the lower TSCs. In particular, the tail of the waiting time distribution can be non exponential [9] because a majority of high priority traffic can delay low priority traffic extensively. Since this is not acceptable in the above...

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BibTeX entry:   (Update)

V. G. Subramanian and R. Srikant, "Tail Probabilities of Low-Priority Waiting Times and Queue Lengths in MAP/GI/1 Queues," Queuing Systems, vol. 34, no. 1-4, pp. 215--236, 2000. http://citeseer.ist.psu.edu/article/subramanian97tail.html   More

@article{ subramanian00tail,
    author = "Vijay Subramanian and R. Srikant",
    title = "Tail probabilities of low-priority waiting times and queue lengths in queues",
    journal = "Queueing Systems",
    volume = "34",
    number = "1-4",
    pages = "215-236",
    year = "2000",
    url = "citeseer.ist.psu.edu/article/subramanian97tail.html" }
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