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Generalized processor sharing queues
16 references·1 citing·39 second hop
Generalized processor sharing queues (2003)Generalized processor sharing queuesIs Network Traffic Appriximated by Stable Lévy Motion or Fractional Brownian Motion? (2002)Is Network Traffic Appriximat…Cell loss asymptotics for buffers fed with a large number of independent stationary sources (1999)Cell loss asymptotics for buf…Asymptotic results for multiplexing subexponential on-off processes (1999)Asymptotic results for multip…Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models (1998)Heavy Tails and Long Range De…Buffer overflow asymptotics for a buffer handling many traffic sources (1996)Buffer overflow asymptotics f…Large deviations, the shape of the loss curve, and economies of scale in large multiplexers (1995)Large deviations, the shape o…Waiting-time tail probabilities in queues with long-tail service-time distributions (1994)Waiting-time tail probabiliti…Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Logarithmic asymptotics for s…A storage model with self-similar input (1994)A storage model with self-sim…Subexponential distributions and integrated tails (1988)Subexponential distributions …Processor-sharing queues: Some progress in analysis (1987)Processor-sharing queues: Som…Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)Piecewise-Deterministic Marko…The Single Server Queue (1983)The Single Server QueueBoundary Value Problems in Queueing System Analysis (1983)Boundary Value Problems in Qu…Sharing a Processor Among Many Job Classes (1980)Sharing a Processor Among Man…Some results on regular variation for distributions in queueing and fluctuation theory (1973)Some results on regular varia…Queues with state-dependent rates (2005)Queues with state-dependent r…Extreme Values, Regular Variation and Point Processes (1987)Stopped Random Walks (1988)SIMULATION METHODS FOR LINEAR FRACTIONAL STABLE MOTION AND FARIMA USING THE FAST FOURIER TRANSFORM (2004)Modeling teletraffic arrivals by a Poisson cluster process (2006)Activity signature functions for high-frequency data analysis (2009)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Effective bandwidths at multi-class queues (1991)Sample path large deviations for queues with many inputs (2001)Cell loss asymptotics in buffers fed with a large number of independent stationary sources (2002)Comparison Methods for Queues and Other Stochastic Models. (1986)An introduction to queueing theory (1993)Sojourn time asymptotics in the M/G/1 processor sharing queue (2000)The fluid limit of a heavily loaded processor sharing queue (2002)A survey on discriminatory processor sharing (2006)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks (1998)Loss probability calculations and asymptotic analysis for finite buffer multiplexers (2001)A Stackelberg Network Game with a Large Number of Followers (2002)Introduction to the Theory of Queues. (1963)Applied Probability and Queues (1987)Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Effective bandwidths of departure processes from queues with time varying capacities (2002)Estimates for the probability of ruin with special emphasis on the possibility of large claims (1982)Subexponential distributions and characterizations of related classes (1989)Subexponential asymptotics for stochastic processes: extremal behavior, stationary distributions and first passage probabilities (1998)Uniform Asymptotics for the Finite-Time Ruin Probability of a Dependent Risk Model with a Constant Interest Rate (2011)Point Processes and Queues: Martingale Dynamics. (1983)Optimal Control with State-Space Constraint. II (1986)State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)Optimal Proportional Reinsurance Policies in a Dynamic Setting (2001)Exact Results for Nonsymmetric Token Ring Systems (1985)A compensation approach for two-dimensional Markov processes (1993)Analysis of join-the-shortest-queue routing for web server farms (2007)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)Manufacturing flow line systems: a review of models and analytical results (1992)The origin of bursts and heavy tails in human dynamics (2005)Modeling bursts and heavy tails in human dynamics (2006)
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References

  • 1984Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models1,123 cited
  • 1994A storage model with self-similar input848 cited
  • 1983The Single Server Queue844 cited
  • 1988Subexponential distributions and integrated tails318 cited
  • 1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue290 cited
  • 2002Is Network Traffic Appriximated by Stable Lévy Motion or Fractional Brownian Motion?270 cited
  • 1995Large deviations, the shape of the loss curve, and economies of scale in large multiplexers244 cited
  • 1983Boundary Value Problems in Queueing System Analysis235 cited
  • 1996Buffer overflow asymptotics for a buffer handling many traffic sources198 cited
  • 1987Processor-sharing queues: Some progress in analysis189 cited
  • 1998Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models176 cited
  • 1980Sharing a Processor Among Many Job Classes175 cited
  • 1973Some results on regular variation for distributions in queueing and fluctuation theory132 cited
  • 1999Asymptotic results for multiplexing subexponential on-off processes129 cited
  • 1994Waiting-time tail probabilities in queues with long-tail service-time distributions

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122 cited
  • 1999Cell loss asymptotics for buffers fed with a large number of independent stationary sources95 cited
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    • 2005Queues with state-dependent rates16 cited