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Large deviations for departures from a shared buffer
10 references·4 citing·37 second hop
Large deviations for departures from a shared buffer (1997)Large deviations for departures from a sh…Effective bandwidths of departure processes from queues with time varying capacities (2002)Effective bandwidths of depar…On the large deviations behavior of acyclic networks of $G/G/1$ queues (1998)On the large deviations behav…Stationary tail probabilities in exponential server tandems with renewal arrivals (1996)Stationary tail probabilities…The Large Deviation Principle for a General Class of Queueing Systems I (1995)The Large Deviation Principle…Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Large deviations and overflow…Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Stability, queue length, and …Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Logarithmic asymptotics for s…Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Logarithmic asymptotics for s…Effective bandwidth and fast simulation of ATM intree networks (1994)Effective bandwidth and fast …A quick simulation method for excessive backlogs in networks of queues (1989)A quick simulation method for…Many Sources Asymptotics for Networks with Small Buffers (2004)Many Sources Asymptotics for …Large Deviations for Queue Lengths at a Multi-Buffered Resource (1998)Large Deviations for Queue Le…Large Deviations estimates for Polling and Weighted Fair Queueing service systems (1998)Large Deviations estimates fo…Functional Large Deviation Principles for Waiting and Departure Processes (1998)Functional Large Deviation Pr…An Introduction to Queueing Networks (1990)Effective bandwidths at multi-class queues (1991)Large deviations analysis of the generalized processor sharing policy (1999)A large deviation principle with queueing applications (2002)Light tail asymptotics in multidimensional reflecting processes for queueing networks (2011)On lipschitz continuity of the solution mapping to the skorokhod problem, with applications (1991)Queueing-theoretic solution methods for models of parallel and distributed systems (1994)Large deviations and queueing networks: Methods for rate function identification (1999)Large deviations of a modified Jackson network: Stability and rough asymptotics (2005)The stability of a queue with non-independent inter-arrival and service times (1962)Applied Probability and Queues (1987)Large deviations of the sojourn time for queues in series (1998)Moderate deviations for queues in critical loading (1999)Asymptotic analysis of Lévy-driven tandem queues (2008)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Importance Sampling for Stochastic Simulations (1989)Analysis of an importance sampling estimator for tandem queues (1995)Loss probability calculations and asymptotic analysis for finite buffer multiplexers (2001)Chapter 11 Rare-Event Simulation Techniques: An Introduction and Recent Advances (2006)Introduction to the Theory of Queues. (1963)Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Large deviations, the shape of the loss curve, and economies of scale in large multiplexers (1995)Comparison Methods for Queues and Other Stochastic Models. (1986)A storage model with self-similar input (1994)Wavelet analysis of long-range-dependent traffic (1998)A multifractal wavelet model with application to network traffic (1999)Comparison Methods for Queues and Other Stochastic Models (1984)Asymptotic buffer overflow probabilities in multiclass multiplexers: an optimal control approach (1998)On the distribution of queueing times (1953)Multiple channel queues in heavy traffic. II: sequences, networks, and batches (1970)Analysis of separable Markov-modulated rate models for information-handling systems (1991)Effective bandwidths for Markov regenerative sources (1996)Large deviations and the generalized processor sharing scheduling for a two-queue system (1997)Tail asymptotics for M/G/1 type queueing processes with subexponential increments (1999)Fast simulation of rare events in queueing and reliability models (1995)Optimization of computer simulation models with rare events (1997)Quick simulation: a review of importance sampling techniques in communications systems (1997)
this work references cited by second hop

References

  • 1994Stability, queue length, and delay of deterministic and stochastic queueing networks815 cited
  • 1995Large deviations and overflow probabilities for the general single-server queue, with applications431 cited
  • 1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue290 cited
  • 1989A quick simulation method for excessive backlogs in networks of queues269 cited
  • 2002Effective bandwidths of departure processes from queues with time varying capacities151 cited
  • 1994Effective bandwidth and fast simulation of ATM intree networks139 cited
  • 1995The Large Deviation Principle for a General Class of Queueing Systems I75 cited
  • 1998On the large deviations behavior of acyclic networks of $G/G/1$ queues63 cited
  • 1996Stationary tail probabilities in exponential server tandems with renewal arrivals33 cited
  • 1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue30 cited

Cited by

  • 1998Large Deviations estimates for Polling and Weighted Fair Queueing service systems19 cited
  • 1998Large Deviations for Queue Lengths at a Multi-Buffered Resource18 cited
  • 1998Functional Large Deviation Principles for Waiting and Departure Processes16 cited
  • 2004Many Sources Asymptotics for Networks with Small Buffers

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14 cited