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Limit Behavior of Fluid Queues and Networks
10 references·1 citing·42 second hop
Limit Behavior of Fluid Queues and Networks (2005)Limit Behavior of Fluid Queues and Networ…Stochastic-process limits : an introduction to stochastic-process limits and their application to queues (2002)Stochastic-process limits : a…Is Network Traffic Appriximated by Stable Lévy Motion or Fractional Brownian Motion? (2002)Is Network Traffic Appriximat…Markov-modulated Feedforward Fluid Networks (2001)Markov-modulated Feedforward …Strong approximations for Markovian service networks (1998)Strong approximations for Mar…Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models (1998)Heavy Tails and Long Range De…Fractional Brownian Approximations of Queueing Networks (1996)Fractional Brownian Approxima…Open Queueing Networks in Heavy Traffic (1984)Open Queueing Networks in Hea…The Heavy Traffic Diffusion Approximation for Sojourn Times in Jackson Networks (1982)The Heavy Traffic Diffusion A…The diffusion approximation for tandem queues in heavy traffic (1978)The diffusion approximation f…Queueing networks in heavy traffic (1977)Queueing networks in heavy tr…Delay Analysis of the Max-Weight Policy Under Heavy-Tailed Traffic via Fluid Approximations (2017)Delay Analysis of the Max-Wei…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)Reflected Brownian Motion on an Orthant (1981)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Fluid Models in Queueing Theory and Wiener-Hopf Factorization of Markov Chains (1994)Tandem fluid queues fed by homogeneous on–off sources (2000)The stability of a queue with non-independent inter-arrival and service times (1962)An Introduction to Queueing Networks (1990)A storage model with self-similar input (1994)On the maximum workload of a queue fed by fractional Brownian motion (2000)On a Class of Lévy Stochastic Networks (2004)Fractional Brownian Heavy Traffic Approximations of Multiclass Feedforward Queueing Networks (2005)Networks of Waiting Lines (1957)Multiple channel queues in heavy traffic. I (1970)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Jobshop-Like Queueing Systems (1963)Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Brownian Motion and Stochastic Calculus (2007)Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Staffing of Time-Varying Queues to Achieve Time-Stable Performance (2008)Staffing and scheduling under nonstationary demand for service: A literature review (2015)On the tails of waiting-time distributions (1975)Applied Probability and Queues (1987)The Impact of Autocorrelation on Queuing Systems (1993)Heavy tail modeling and teletraffic data: special invited paper (1997)Exit problems for spectrally negative Lévy processes and applications to (Canadized) Russian options (2004)Multiple channel queues in heavy traffic. II: sequences, networks, and batches (1970)Multiple channel queues in heavy traffic (1971)On the Distribution of Multidimensional Reflected Brownian Motion (1981)The QNET method for two-moment analysis of open queueing networks (1990)Brownian Models of Performance and Control (2013)Dynamic Routing in Large-Scale Service Systems with Heterogeneous Servers (2005)Queue-and-Idleness-Ratio Controls in Many-Server Service Systems (2009)Control of Patient Flow in Emergency Departments, or Multiclass Queues with Deadlines and Feedback (2015)Processing Networks with Parallel and Sequential Tasks: Heavy Traffic Analysis and Brownian Limits (1993)Stochastic networks and activity analysis (2002)Does the Past Predict the Future? The Case of Delay Announcements in Service Systems (2016)
this work references cited by second hop

References

  • 2002Stochastic-process limits : an introduction to stochastic-process limits and their application to queues468 cited
  • 1984Open Queueing Networks in Heavy Traffic449 cited
  • 2002Is Network Traffic Appriximated by Stable Lévy Motion or Fractional Brownian Motion?270 cited
  • 1998Strong approximations for Markovian service networks254 cited
  • 1998Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models176 cited
  • 1978The diffusion approximation for tandem queues in heavy traffic122 cited
  • 1982The Heavy Traffic Diffusion Approximation for Sojourn Times in Jackson Networks57 cited
  • 1996Fractional Brownian Approximations of Queueing Networks37 cited
  • 1977Queueing networks in heavy traffic18 cited
  • 2001Markov-modulated Feedforward Fluid Networks15 cited

Cited by

  • 2017Delay Analysis of the Max-Weight Policy Under Heavy-Tailed Traffic via Fluid Approximations13 cited

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