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@inproceedings{Resnick1997PatternsOB, title={Patterns of Buffer Overflow in a Class of Queues with Long Memory in the Input Stream}, author={Sidney Resnick and Gennady SamorodnitskyCornell UniversityAbstract}, year={1997} }

- Published 1997

We study the time it takes until a a uid queue with a nite, but large, holding capacity reaches the overrow point. The queue is fed by an on/oo process, with a heavy tailed on distribution, which is known to have long memory. It turns out that the expected time until overrow, as a function of capacity L, increases only polynomially fast, and so overrows happen much more often than in the \classical" light tailed case, where the expected overrow time increases as an exponential function of Lâ€¦Â CONTINUE READING

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