Maximal Effective Bandwidth of Constrained Traffic |
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Authors: | Walsh Cormac |
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Institution: | (1) ENS Lyon, LIP, 46 allée d'Italie, 69007 Lyon Cedex, France |
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Abstract: | We investigate the worst possible behavior of a stationary traffic source when the traffic emanating from it is required to meet certain constraints. Specifically, the peak rate of the source is required not to exceed a level and realizations must obey a leaky bucket constraint with bucket size and leak rate . The worst case source is considered to be the one with the largest effective bandwidth, a concept which arises in the large deviation theory of queueing networks and governs the asymptotic loss rate when a large number of sources send traffic to a single server queue. We conjecture the form of the worst case traffic in general and prove the conjecture for the special case when T, the time-scale parameter of the effective bandwidth, is less than both /(–) and /, the times taken respectively to fill and empty the leaky bucket. |
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Keywords: | regulated traffic worst case statistical multiplexing stationary independent large deviations effective bandwidth leaky bucket Markov decision procedure |
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