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Most probable paths and performance formulae for buffers with gaussian input traffic
4 references·11 citing·34 second hop
Most probable paths and performance formulae for buffers with gaussian input traffic (2002)Most probable paths and performance formu…Wavelet analysis of long-range-dependent traffic (1998)Wavelet analysis of long-rang…A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks (1998)A central-limit-theorem-based…A storage model with self-similar input (1994)A storage model with self-sim…Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Stochastic Theory of a Data-H…Performance analysis of a Poisson–Pareto queue over the full range of system parameters (2008)Performance analysis of a Poi…Tandem Brownian queues (2007)Tandem Brownian queuesSample path properties of bifractional Brownian motion (2007)Sample path properties of bif…Large deviations of infinite intersections of events in Gaussian processes (2006)Large deviations of infinite …Large Deviations for Complex Buffer Architectures: The Short-Range Dependent Case (2006)Large Deviations for Complex …Fast simulation of overflow probabilities in a queue with Gaussian input (2006)Fast simulation of overflow p…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…Conditional limit theorems for queues with Gaussian input, a weak convergence approach (2004)Conditional limit theorems fo…Generalized processor sharing queues (2003)Generalized processor sharing…Approximate formulae for Gaussian priority queues (2001)Approximate formulae for Gaus…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)Priority queues with Gaussian input: a path-space approach to loss and delay asymptotics. (2005)Large deviations analysis of the generalized processor sharing policy (1999)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)A large-deviations analysis of the GI/GI/1 SRPT queue (2006)On the Integrodifferential Equation of Takacs. II (1959)Brownian Models of Feedforward Queueing Networks: Quasireversibility and Product Form Solutions (1992)Big Queues (2004)Asymptotic analysis of Lévy-driven tandem queues (2008)Exit problem of a two-dimensional risk process from the quadrant: Exact and asymptotic results (2008)Tail asymptotics for a Lévy-driven tandem queue with an intermediate input (2009)A Guide to Simulation (1983)New results on the single server queue with a batch markovian arrival process (1991)Queueing analysis of high-speed multiplexers including long-range dependent arrival processes (1999)An overview of Brownian and non-Brownian FCLTs for the single-server queue (2000)Use of the supremum distribution of Gaussian Processes in queueing analysis with long-range Dependence and self-similarity (2000)An Elementary Approach to a Girsanov Formula and Other Analytical Results on Fractional Brownian Motions (1999)Large Deviations For Performance Analysis (2019)Fractional Brownian Motions, Fractional Noises and Applications (1968)ESTIMATORS FOR LONG-RANGE DEPENDENCE: AN EMPIRICAL STUDY (1995)Statistics for Long-Memory Processes. (1996)Stock market prices and long-range dependence (1999)The Malliavin Calculus and Related Topics (1995)Fractional Ornstein-Uhlenbeck processes (2003)The Malliavin Calculus and Related Topics (2006)Wiener integrals, Malliavin calculus and covariance measure structure (2007)On the collision local time of sub-fractional Brownian motions (2009)A multifractal wavelet model with application to network traffic (1999)A wavelet-based joint estimator of the parameters of long-range dependence (1999)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)
this work references cited by second hop

References

  • 1982Stochastic Theory of a Data-Handling System with Multiple Sources1,271 cited
  • 1998Wavelet analysis of long-range-dependent traffic957 cited
  • 1994A storage model with self-similar input848 cited
  • 1998A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks132 cited

Cited by

  • 2007Sample path properties of bifractional Brownian motion93 cited
  • 2005Sample-path large deviations for tandem and priority queues with Gaussian inputs45 cited
  • 2005GPS schedulers and Gaussian traffic40 cited
  • 2007Tandem Brownian queues37 cited
  • 2001Approximate formulae for Gaussian priority queues28 cited
  • 2006Large deviations of infinite intersections of events in Gaussian processes28 cited
  • 2006Fast simulation of overflow probabilities in a queue with Gaussian input23 cited
  • 2004Conditional limit theorems for queues with Gaussian input, a weak convergence approach20 cited
  • 2003Generalized processor sharing queues20 cited
  • 2006Large Deviations for Complex Buffer Architectures: The Short-Range Dependent Case17 cited
  • 2008Performance analysis of a Poisson–Pareto queue over the full range of system parameters

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16 cited