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Long-tail buffer-content distributions in broadband networks
13 references·16 citing·36 second hop
Long-tail buffer-content distributions in broadband networks (1997)Long-tail buffer-content distributions in…Elements of Queueing Theory (2003)Elements of Queueing TheoryLarge deviations and overflow probabilities for the general single-server queue, with applications (1995)Large deviations and overflow…Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)Exponential Approximations fo…Waiting-time tail probabilities in queues with long-tail service-time distributions (1994)Waiting-time tail probabiliti…A storage model with self-similar input (1994)A storage model with self-sim…Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Tail probabilities with stati…Stationary Stochastic Models. (1992)Stationary Stochastic Models.A Storage Model with a Two-State Random Environment (1992)A Storage Model with a Two-St…Subexponential distributions and integrated tails (1988)Subexponential distributions …Queues and Point Processes. (1985)Queues and Point Processes.Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Stochastic Theory of a Data-H…On the tails of waiting-time distributions (1975)On the tails of waiting-time …Some results on regular variation for distributions in queueing and fluctuation theory (1973)Some results on regular varia…Exact asymptotics for fluid queues fed by multiple heavy-tailed on–off flows (2004)Exact asymptotics for fluid q…Queueing systems with long-range dependent input process and subexponential service times (2003)Queueing systems with long-ra…Asymptotic loss probability in a finite buffer fluid queue with hetergeneous heavy-tailed on--off processes (2003)Asymptotic loss probability i…Multiplexing on-off sources with subexponential on periods (2002)Multiplexing on-off sources w…Steady-State Distribution of the Buffer Content for M/G/ infinity Input Fluid Queues (2001)Steady-State Distribution of …Workload bounds in fluid models with priorities (2000)Workload bounds in fluid mode…Telecommunication traffic, queueing models, and subexponential distributions (1999)Telecommunication traffic, qu…Tail probabilities for non-standard risk and queueing processes with subexponential jumps (1999)Tail probabilities for non-st…Tail asymptotics for M/G/1 type queueing processes with subexponential increments (1999)Tail asymptotics for M/G/1 ty…Subexponential loss rates in a GI/GI/1 queue with applications (1999)Subexponential loss rates in …On a reduced load equivalence for fluid queues under subexponentiality (1999)On a reduced load equivalence…Asymptotics of palm-stationary buffer content distributions in fluid flow queues (1999)Asymptotics of palm-stationar…Queueing at large resources driven by long-tailed M/G/∞-modulated processes (1998)Queueing at large resources d…Diffusion approximation modeling for Markov modulated bursty traffic and its applications to bandwidth allocation in ATM networks (1998)Diffusion approximation model…Regular variation in a multi-source fluid queue (1997)Regular variation in a multi-…Fluid queues and regular variation (1996)Fluid queues and regular vari…Theory, Volume 1, Queueing Systems (1975)Applied Probability and Queues (1987)New results on the single server queue with a batch markovian arrival process (1991)Asymptotics for M/G/1 low-priority waiting-time tail probabilities (1997)A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks (1998)Appendix: A primer on heavy-tailed distributions (1999)Queues and Inventories. (1966)QUEUES AND INVENTORIES (1967)Extreme Values in the GI/G/1 Queue (1972)Asymptotic behaviour of Wiener-Hopf factors of a random walk (1977)Subexponentiality and infinite divisibility (1979)Subexponentiality of the product of independent random variables (1994)Matrix-Geometric Solutions to Stochastic Models (1984)Asymptotics for steady-state tail probabilities in structured markov queueing models (1994)Exponential bounds for queues with Markovian arrivals (1994)The Single Server Queue (1983)The Single Server Queue. (1983)Asymptotic results for multiplexing subexponential on-off processes (1999)Asymptotics for Sums of Random Variables with Local Subexponential Behaviour (2003)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Large deviations, the shape of the loss curve, and economies of scale in large multiplexers (1995)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)INFORMATION COSTS, PRICING, AND RESOURCE UNEMPLOYMENT (1969)Martingale Methods in Financial Modelling (1997)Simulation modeling for analysis (2010)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)Marked point processes as limits of Markovian arrival streams (1993)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)OR FORUM—Little's Law as Viewed on Its 50th Anniversary (2011)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Traffic modeling for telecommunications networks (1994)
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References

  • 1982Stochastic Theory of a Data-Handling System with Multiple Sources1,271 cited
  • 1994A storage model with self-similar input848 cited
  • 2003Elements of Queueing Theory596 cited
  • 1995Large deviations and overflow probabilities for the general single-server queue, with applications431 cited
  • 1985Queues and Point Processes.342 cited
  • 1988Subexponential distributions and integrated tails318 cited
  • 1975On the tails of waiting-time distributions226 cited
  • 1993Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues150 cited
  • 1995Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times145 cited
  • 1973Some results on regular variation for distributions in queueing and fluctuation theory132 cited
  • 1992Stationary Stochastic Models.129 cited
  • 1994Waiting-time tail probabilities in queues with long-tail service-time distributions122 cited
  • 1992A Storage Model with a Two-State Random Environment88 cited

Cited by

  • 1999Tail probabilities for non-standard risk and queueing processes with subexponential jumps100 cited
  • 1998Queueing at large resources driven by long-tailed M/G/∞-modulated processes

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52 cited
  • 1999On a reduced load equivalence for fluid queues under subexponentiality51 cited
  • 1996Fluid queues and regular variation49 cited
  • 1999Subexponential loss rates in a GI/GI/1 queue with applications40 cited
  • 1998Diffusion approximation modeling for Markov modulated bursty traffic and its applications to bandwidth allocation in ATM networks36 cited
  • 2001Steady-State Distribution of the Buffer Content for M/G/ infinity Input Fluid Queues32 cited
  • 2002Multiplexing on-off sources with subexponential on periods28 cited
  • 1999Asymptotics of palm-stationary buffer content distributions in fluid flow queues27 cited
  • 1999Telecommunication traffic, queueing models, and subexponential distributions25 cited
  • 1997Regular variation in a multi-source fluid queue25 cited
  • 1999Tail asymptotics for M/G/1 type queueing processes with subexponential increments24 cited
  • 2003Queueing systems with long-range dependent input process and subexponential service times22 cited
  • 2004Exact asymptotics for fluid queues fed by multiple heavy-tailed on–off flows21 cited
  • 2003Asymptotic loss probability in a finite buffer fluid queue with hetergeneous heavy-tailed on--off processes19 cited
  • 2000Workload bounds in fluid models with priorities15 cited