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Large deviations approximation for fluid queues fed by a large number of on/off sources
6 references·16 citing·29 second hop
Large deviations approximation for fluid queues fed by a large number of on/off sources (1995)Large deviations approximation for fluid …A storage model with self-similar input (1994)A storage model with self-sim…The superposition of variable bit rate sources in an ATM multiplexer (1991)The superposition of variable…Analysis of separable Markov-modulated rate models for information-handling systems (1991)Analysis of separable Markov-…Analysis of separable Markov-modulated rate models for information-handling systems (1991)Analysis of separable Markov-…A new technique for analyzing large traffic systems (1986)A new technique for analyzing…Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Stochastic Theory of a Data-H…Exact overflow asymptotics for queues with many Gaussian inputs (2003)Exact overflow asymptotics fo…Convexity properties of loss and overflow functions (2003)Convexity properties of loss …Tail Asymptotics for HOL Priority Queues Handling a Large Number of Independent Stationary Sources (2002)Tail Asymptotics for HOL Prio…Estimates on the packet loss ratio via queue tail probabilities (2002)Estimates on the packet loss …Cell loss asymptotics in buffers fed with a large number of independent stationary sources (2002)Cell loss asymptotics in buff…A new method to determine the queue length distribution at an ATM multiplexer (2002)A new method to determine the…Sample path large deviations for queues with many inputs (2001)Sample path large deviations …On the performance of multiplexing independent regulated inputs (2001)On the performance of multipl…Many-Sources Delay Asymptotics with Applications to Priority Queues (2001)Many-Sources Delay Asymptotic…Large Deviations for Small Buffers: An Insensitivity Result (2001)Large Deviations for Small Bu…Overflow behavior in queues with many long-tailed inputs (2000)Overflow behavior in queues w…Loss asymptotics in large buffers fed by heterogeneous long-tailed sources (2000)Loss asymptotics in large buf…Optimal trajectory to overflow in a queue fed by a large number of sources (1999)Optimal trajectory to overflo…Cell loss asymptotics for buffers fed with a large number of independent stationary sources (1999)Cell loss asymptotics for buf…Exponential bounds with applications to call admission (1997)Exponential bounds with appli…Heavy traffic analysis of a storage model with long range dependent On/Off sources (1996)Heavy traffic analysis of a s…Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Large deviations, the shape of the loss curve, and economies of scale in large multiplexers (1995)Buffer overflow asymptotics for a buffer handling many traffic sources (1996)Sample-path large deviations for tandem and priority queues with Gaussian inputs (2005)Scheduling analysis with martingales (2014)Queueing Systems. Volume 1: Theory (Leonard Kleinrock) (1976)Fluid queues with long-tailed activity period distributions (1998)Asymptotic behavior of a multiplexer fed by a long-range dependent process (1999)Effective bandwidths at multi-class queues (1991)Stochastic Processes in Queueing Theory (1976)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Fluid models for the analysis and design of statistical multiplexing with loss priorities on multiple classes of bursty traffic (1992)On the asymptotic behavior of heterogeneous statistical multiplexer with applications (1992)Exponential bounds for queues with Markovian arrivals (1994)Applications of Queueing Theory (1985)Erlang capacity and uniform approximations for shared unbuffered resources (1994)An introduction to large deviations for communication networks (1995)A Many-Server Queue with Service Interruptions (1968)Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Stationary distributions for fluid flow models with or without brownian noise (1995)Matrix analytic methods for stochastic fluid flows (1999)Wavelet analysis of long-range-dependent traffic (1998)A multifractal wavelet model with application to network traffic (1999)A wavelet-based joint estimator of the parameters of long-range dependence (1999)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Traffic modeling for telecommunications networks (1994)On the asymptotic relationship between the overflow probability and the loss ratio (2001)Matrix-analytic methods for fluid queues with finite buffers (2005)
this work references cited by second hop

References

  • 1982Stochastic Theory of a Data-Handling System with Multiple Sources1,271 cited
  • 1994A storage model with self-similar input848 cited
  • 1991Analysis of separable Markov-modulated rate models for information-handling systems209 cited
  • 1991Analysis of separable Markov-modulated rate models for information-handling systems188 cited
  • 1991The superposition of variable bit rate sources in an ATM multiplexer169 cited
  • 1986A new technique for analyzing large traffic systems128 cited

Cited by

  • 1999Cell loss asymptotics for buffers fed with a large number of independent stationary sources95 cited
  • 2001Sample path large deviations for queues with many inputs70 cited
  • 1996Heavy traffic analysis of a storage model with long range dependent On/Off sources69 cited
  • 2002Cell loss asymptotics in buffers fed with a large number of independent stationary sources64 cited
  • 2001On the performance of multiplexing independent regulated inputs51 cited
  • 2003Exact overflow asymptotics for queues with many Gaussian inputs49 cited
  • 2001Large Deviations for Small Buffers: An Insensitivity Result49 cited
  • 1997Exponential bounds with applications to call admission33 cited
  • 2000

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Overflow behavior in queues with many long-tailed inputs
32 cited
  • 1999Optimal trajectory to overflow in a queue fed by a large number of sources27 cited
  • 2001Many-Sources Delay Asymptotics with Applications to Priority Queues26 cited
  • 2002A new method to determine the queue length distribution at an ATM multiplexer20 cited
  • 2002Estimates on the packet loss ratio via queue tail probabilities17 cited
  • 2003Convexity properties of loss and overflow functions16 cited
  • 2000Loss asymptotics in large buffers fed by heterogeneous long-tailed sources16 cited
  • 2002Tail Asymptotics for HOL Priority Queues Handling a Large Number of Independent Stationary Sources15 cited