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The superposition of alternating on-off flows and a fluid model
14 references·1 citing·37 second hop
The superposition of alternating on-off flows and a fluid model (1998)The superposition of alternating on-off f…Large Deviations For Performance Analysis (2019)Large Deviations For Performa…Multiplexing on-off sources with subexponential on periods (2002)Multiplexing on-off sources w…Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models (1998)Heavy Tails and Long Range De…Fluid models for single buffer systems (1998)Fluid models for single buffe…A note on martingale inequalities for fluid models (1996)A note on martingale inequali…Large deviations approximation for fluid queues fed by a large number of on/off sources (1995)Large deviations approximatio…A Gaussian fluid model (1995)A Gaussian fluid modelPerformance of an ATM multiplexer queue in the fluid approximation using the Beneš approach (1994)Performance of an ATM multipl…Fluid Model Driven by an Ornstein-Uhlenbeck Process (1994)Fluid Model Driven by an Orns…Busy period analysis, rare events and transient behavior in fluid flow models (1994)Busy period analysis, rare ev…Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Tail probabilities with stati…Analysis of separable Markov-modulated rate models for information-handling systems (1991)Analysis of separable Markov-…Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)Piecewise-Deterministic Marko…Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Stochastic Theory of a Data-H…A Note on Transient Gaussian Fluid Models (2002)A Note on Transient Gaussian …MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)Brownian Motion and Stochastic Flow Systems. (1987)Markov-modulated and feedback fluid queues (1998)Simulation of the Asymptotic Constant in Some Fluid Models (2003)A storage model with self-similar input (1994)Heavy traffic analysis of a storage model with long range dependent On/Off sources (1996)Cell loss asymptotics for buffers fed with a large number of independent stationary sources (1999)Sample path large deviations for queues with many inputs (2001)Matrix-Geometric Solutions to Stochastic Models (1984)Applied Probability and Queues (1987)Asymptotics for steady-state tail probabilities in structured markov queueing models (1994)Exponential bounds for queues with Markovian arrivals (1994)Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)On the tails of waiting-time distributions (1975)The Impact of Autocorrelation on Queuing Systems (1993)Heavy tail modeling and teletraffic data: special invited paper (1997)Is Network Traffic Appriximated by Stable Lévy Motion or Fractional Brownian Motion? (2002)Exit problems for spectrally negative Lévy processes and applications to (Canadized) Russian options (2004)A Many-Server Queue with Service Interruptions (1968)Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Stationary distributions for fluid flow models with or without brownian noise (1995)Matrix analytic methods for stochastic fluid flows (1999)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)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Traffic modeling for telecommunications networks (1994)Join the shortest queue: stability and exact asymptotics (2001)Chapter 11 Rare-Event Simulation Techniques: An Introduction and Recent Advances (2006)Staffing Multiskill Call Centers via Linear Programming and Simulation (2008)Fast simulation of rare events in queueing and reliability models (2005)Passage Times in Fluid Models with Application to Risk Processes (2006)An Excursion-Theoretical Approach to Some Boundary Crossing Problems and the Skorokhod Embedding for Reflected Lévy Processes (2007)Fluid and diffusion limits for queues in slowly changing environments (1997)The Three-Sided Market of On-Demand Delivery (2021)
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References

  • 1982Stochastic Theory of a Data-Handling System with Multiple Sources1,271 cited
  • 1984Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models1,123 cited
  • 2019Large Deviations For Performance Analysis238 cited
  • 1991Analysis of separable Markov-modulated rate models for information-handling systems209 cited
  • 1998Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models176 cited
  • 1993Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues150 cited
  • 1998Fluid models for single buffer systems147 cited
  • 1995Large deviations approximation for fluid queues fed by a large number of on/off sources100 cited
  • 1994Fluid Model Driven by an Ornstein-Uhlenbeck Process45 cited
  • 1994Busy period analysis, rare events and transient behavior in fluid flow models33 cited
  • 1994Performance of an ATM multiplexer queue in the fluid approximation using the Beneš approach31 cited
  • 2002Multiplexing on-off sources with subexponential on periods28 cited
  • 1995A Gaussian fluid model20 cited
  • 1996A note on martingale inequalities for fluid models19 cited

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A Note on Transient Gaussian Fluid Models
31 cited