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N.G. Dueld and Neil O'Connell (1994). Large deviations for arrivals, departures, and over ow in some queues of interacting trac. Proceedings of the 11 th IEE Teletrac Symposium, Cambridge, March 1994.

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Large Deviations with Applications to Telecommunications - O'Connell (1999)   Self-citation (O'connell)   (Correct)

....equilibrium and the joint large deviations behaviour of the outputs are analysed, and queues with dedicated bu ers. Most of the problems we have discussed, including those studied in [44, 45, 46] along with variants and related problems, have been analysed using di erent methods in (for example) [1, 2, 4, 6, 7, 9, 16, 17, 20, 21, 22, 23, 31, 40, 50, 53]. 2.7 Application: A problem in stochastic control Consider the following queueing system. We have a stationary and ergodic arrivals process X k , and the queue evolves as follows: Q n = minf(Q n 1 X n c(Q n 1 ) Bg; 29) 30 where c is some function which we are allowed to choose. The ....

N.G. Dueld and Neil O'Connell (1994). Large deviations for arrivals, departures, and over ow in some queues of interacting trac. Proceedings of the 11 th IEE Teletrac Symposium, Cambridge, March 1994.


Predicting Quality of Service for Traffic with.. - Duffield, Lewis.. (1995)   (25 citations)  Self-citation (Duffield O'connell)   (Correct)

....made publicly available, as the Bellcore data . In this paper we discuss the implications of such models for the problem of estimating loss probabilities in networks, and their validity. There has been much recent work on estimating rareevent probabilities in queueing networks: see for example [1, 3, 4, 6, 7, 8, 9, 12, 15]. For traffic which is stationary and possesses only short range dependence (srd) the tails of the distribution of the queue length Q in a single server queue with deterministic service should satisfy P [Q b] e Gammaffib ; 1) for some positive constant ffi that depends on the service ....

N.G. Duffield and Neil O'Connell (1994). Large deviations for arrivals, departures, and overflow in some queues of interacting traffic. Proceedings of the 11 t h IEE Teletraffic Symposium, Cambridge, March 1994.


Queue Lengths and Departures at Single-Server Resources - O'Connell (1996)   (7 citations)  Self-citation (O'connell)   (Correct)

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N.G. Duffield and Neil O'Connell (1994). Large deviations for arrivals, departures, and overflow in some queues of interacting traffic. Proceedings of the 11 th IEE Teletraffic Symposium, Cambridge, March 1994.

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