D. D. Botvich, T. J. Corcoran, N. G. Duffield and P. Farrell, "Economies of Scale in Long and Short Buffers of Large Multiplexers", Preprint, 1995. Home/Search Document Details and Download
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Large Deviations and the Generalized Processor Sharing Scheduling: .. - Zhang (1997) (19 citations) (Correct)
....2] may also be used to establish results for the continuous time GPS system. The paper deals only with the large buffer asymptotics under the GPS scheduling. Another future direction is to study the asymptotical behavior of the GPS scheduling with a large number of sources a la the methods of [29, 3]. Acknowledgement I am indebted to Prof. Richard Ellis for teaching me Probability Theory and Large Deviation Theory and to my advisor Don Towsley for encouragement and many helpful discussions. A Proof of Sample Path Lower Bound on Output Processes Proof of Lemma 6: First note that (25) follows ....
D. D. Botvich, T. J. Corcoran, N. G. Duffield and P. Farrell, "Economies of Scale in Long and Short Buffers of Large Multiplexers", Preprint, 1995.
Large Deviations and the Generalized Processor Sharing Scheduling: .. - Zhang (1995) (19 citations) (Correct)
....of probability measures f (n) n = 1; 2; g (or fZ n ; n = 1; 2; g) satisfies the sample path large deviation principle with respect to . Large deviation theory has been widely applied in queueing theory to study the tail probabilities of various queueing behaviors (see, e.g. [3, 5, 6, 10, 19, 23, 39, 4]) Of particular relevance to us are the results on the discrete time G D 1 1 queueing system. The presentation below follows primarily the formulation in [6] We describe the arrival process to a discrete time G D 1 1 queueing system by a sequence of bounded, nonnegative random variables on ....
....4] may also be used to establish results for the continuous time GPS system. The paper deals only with the large buffer asymptotics under the GPS scheduling. Another future direction is to study the asymptotical behavior of the GPS scheduling with a large number of sources a la the methods of [37, 5]. Acknowledgement I am indebted to Prof. Richard Ellis for teaching me Probability Theory and Large Deviation Theory and to my advisor Don Towsley for encouragement and many helpful discussions. A Proofs of the Lemmas in Section 2 Proof of Lemma 2: E[e (Q( Gammat) A( Gammat;0) E h ....
D. D. Botvich, T. J. Corcoran, N. G. Duffield and P. Farrell, "Economies of Scale in Long and Short Buffers of Large Multiplexers", Preprint, 1995.
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