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Sample-path large deviations for generalized processor sharing queues with Gaussian inputs
12 references·1 citing·35 second hop
Sample-path large deviations for generalized processor sharing queues with Gaussian inputs (2005)Sample-path large deviations for generali…Sample-path large deviations for tandem and priority queues with Gaussian inputs (2005)Sample-path large deviations …GPS schedulers and Gaussian traffic (2005)GPS schedulers and Gaussian t…Traffic with an fBm Limit: Convergence of the Stationary Workload Process (2004)Traffic with an fBm Limit: Co…Generalized processor sharing with light-tailed and heavy-tailed input (2003)Generalized processor sharing…Most probable paths and performance formulae for buffers with gaussian input traffic (2002)Most probable paths and perfo…A most probable path approach to queueing systems with general Gaussian input (2002)A most probable path approach…Approximate formulae for Gaussian priority queues (2001)Approximate formulae for Gaus…Large deviations and the generalized processor sharing scheduling for a two-queue system (1997)Large deviations and the gene…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…A new technique for analyzing large traffic systems (1986)A new technique for analyzing…On the Integrodifferential Equation of Takacs. II (1959)On the Integrodifferential Eq…Gaussian tandem queues with an application to dimensioning of switch fabric interfaces (2006)Gaussian tandem queues with a…A storage model with self-similar input (1994)Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Simulation of fractional Brownian motion with conditionalized random midpoint displacement (1999)Generalized processor sharing queues (2003)Priority queues with Gaussian input: a path-space approach to loss and delay asymptotics. (2005)Large Deviations for Complex Buffer Architectures: The Short-Range Dependent Case (2006)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Effective bandwidths at multi-class queues (1991)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)Cell loss asymptotics in buffers fed with a large number of independent stationary sources (2002)Some Problems in the Theory of Queues (1951)Investigation of waiting time problems by reduction to Markov processes (1955)On Queues with Poisson Arrivals (1957)Limit theorems for periodic queues (1977)ON THE INFIMUM ATTAINED BY THE REFLECTED FRACTIONAL BROWNIAN MOTION (2016)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)Wavelet analysis of long-range-dependent traffic (1998)On the tails of waiting-time distributions (1975)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Appendix: A primer on heavy-tailed distributions (1999)Beyond processor sharing (2007)Queue-Length Asymptotics for Generalized Max-Weight Scheduling in the Presence of Heavy-Tailed Traffic (2011)Max-Weight Scheduling in Queueing Networks With Heavy-Tailed Traffic (2013)Applications of Queueing Theory (1985)Erlang capacity and uniform approximations for shared unbuffered resources (1994)Exponential bounds for queues with Markovian arrivals (1994)Large deviations approximation for fluid queues fed by a large number of on/off sources (1995)A large-deviations analysis of the GI/GI/1 SRPT queue (2006)Large deviations of infinite intersections of events in Gaussian processes (2006)Tandem Brownian queues (2007)Sample path properties of bifractional Brownian motion (2007)
this work references cited by second hop

References

  • 1995Large deviations, the shape of the loss curve, and economies of scale in large multiplexers244 cited
  • 1996Buffer overflow asymptotics for a buffer handling many traffic sources198 cited
  • 1986A new technique for analyzing large traffic systems128 cited
  • 2002A most probable path approach to queueing systems with general Gaussian input80 cited
  • 2002Most probable paths and performance formulae for buffers with gaussian input traffic72 cited
  • 2003Generalized processor sharing with light-tailed and heavy-tailed input64 cited
  • 1959On the Integrodifferential Equation of Takacs. II57 cited
  • 2005Sample-path large deviations for tandem and priority queues with Gaussian inputs45 cited
  • 2005GPS schedulers and Gaussian traffic40 cited
  • 2001Approximate formulae for Gaussian priority queues28 cited
  • 1997Large deviations and the generalized processor sharing scheduling for a two-queue system24 cited
  • 2004Traffic with an fBm Limit: Convergence of the Stationary Workload Process18 cited

Cited by

  • 2006Gaussian tandem queues with an application to dimensioning of switch fabric interfaces13 cited

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