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Asymptotic behavior of a multiplexer fed by a long-range dependent process
14 references·12 citing·35 second hop
Asymptotic behavior of a multiplexer fed by a long-range dependent process (1999)Asymptotic behavior of a multiplexer fed …M|G|∞ input processes: a versatile class of models for network traffic (2002)M|G|∞ input processes: a vers…Asymptotic results for multiplexing subexponential on-off processes (1999)Asymptotic results for multip…Fluid queues with long-tailed activity period distributions (1998)Fluid queues with long-tailed…Tail probabilities for M/G/∞ input processes (I): Preliminary asymptotics (1997)Tail probabilities for M/G/∞ …Statistics for Long-Memory Processes (1997)Statistics for Long-Memory Pr…Patterns of buffer overflow in a class of queues with long memory in the input stream (1997)Patterns of buffer overflow i…Modelling Extremal Events (1997)Modelling Extremal EventsStatistics for Long-Memory Processes. (1996)Statistics for Long-Memory Pr…Heavy traffic analysis of a storage model with long range dependent On/Off sources (1996)Heavy traffic analysis of a s…Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Large deviations and overflow…A storage model with self-similar input (1994)A storage model with self-sim…Convolution tails, product tails and domains of attraction (1986)Convolution tails, product ta…Stochastic Processes in Queueing Theory (1976)Stochastic Processes in Queue…On the tails of waiting-time distributions (1975)On the tails of waiting-time …Performance analysis of a Poisson–Pareto queue over the full range of system parameters (2008)Performance analysis of a Poi…Fluid Queues with Heavy-Tailed M/G/∞ Input (2005)Fluid Queues with Heavy-Taile…Queueing systems with long-range dependent input process and subexponential service times (2003)Queueing systems with long-ra…Queueing performance estimation for general multifractal traffic (2003)Queueing performance estimati…Asymptotic loss probability in a finite buffer fluid queue with hetergeneous heavy-tailed on--off processes (2003)Asymptotic loss probability i…Asymptotic analysis of GPS systems fed by heterogeneous long-tailed sources (2002)Asymptotic analysis of GPS sy…Steady-State Distribution of the Buffer Content for M/G/ infinity Input Fluid Queues (2001)Steady-State Distribution of …Overflow behavior in queues with many long-tailed inputs (2000)Overflow behavior in queues w…Loss asymptotics in large buffers fed by heterogeneous long-tailed sources (2000)Loss asymptotics in large buf…Heavy traffic limits associated with >M/G/∞ input processes (2000)Heavy traffic limits associat…Subexponential loss rates in a GI/GI/1 queue with applications (1999)Subexponential loss rates in …How system performance is affected by the interplay of averages in a fluid queue with long range dependence induced by heavy tails (1999)How system performance is aff…The stability of a queue with non-independent inter-arrival and service times (1962)Queueing at large resources driven by long-tailed M/G/∞-modulated processes (1998)Sample-path large deviations for tandem and priority queues with Gaussian inputs (2005)The Class of Subexponential Distributions (1975)On closure and factorization properties of subexponential and related distributions (1980)Convolutions of Distributions With Exponential and Subexponential Tails (1987)Subexponential distributions and characterizations of related classes (1989)Convolution equivalence and infinite divisibility (2004)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)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)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Applied Probability and Queues (1987)Tail probabilities for non-standard risk and queueing processes with subexponential jumps (1999)Is Network Traffic Appriximated by Stable Lévy Motion or Fractional Brownian Motion? 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References

  • 1997Modelling Extremal Events4,397 cited
  • 1996Statistics for Long-Memory Processes.2,686 cited
  • 1994A storage model with self-similar input848 cited
  • 1976Stochastic Processes in Queueing Theory674 cited
  • 1997Statistics for Long-Memory Processes606 cited
  • 1995Large deviations and overflow probabilities for the general single-server queue, with applications431 cited
  • 1975On the tails of waiting-time distributions226 cited
  • 1986Convolution tails, product tails and domains of attraction195 cited
  • 1999Asymptotic results for multiplexing subexponential on-off processes129 cited
  • 2002M|G|∞ input processes: a versatile class of models for network traffic85 cited
  • 1997Patterns of buffer overflow in a class of queues with long memory in the input stream72 cited
  • 1998Fluid queues with long-tailed activity period distributions69 cited
  • 1996Heavy traffic analysis of a storage model with long range dependent On/Off sources69 cited
  • 1997Tail probabilities for M/G/∞ input processes (I): Preliminary asymptotics61 cited

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  • 1999Subexponential loss rates in a GI/GI/1 queue with applications40 cited

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  • 2001Steady-State Distribution of the Buffer Content for M/G/ infinity Input Fluid Queues32 cited
  • 2000Overflow behavior in queues with many long-tailed inputs32 cited
  • 2003Queueing systems with long-range dependent input process and subexponential service times22 cited
  • 2002Asymptotic analysis of GPS systems fed by heterogeneous long-tailed sources21 cited
  • 2003Asymptotic loss probability in a finite buffer fluid queue with hetergeneous heavy-tailed on--off processes19 cited
  • 1999How system performance is affected by the interplay of averages in a fluid queue with long range dependence induced by heavy tails19 cited
  • 2003Queueing performance estimation for general multifractal traffic18 cited
  • 2005Fluid Queues with Heavy-Tailed M/G/∞ Input16 cited
  • 2008Performance analysis of a Poisson–Pareto queue over the full range of system parameters16 cited
  • 2000Heavy traffic limits associated with >M/G/∞ input processes16 cited
  • 2000Loss asymptotics in large buffers fed by heterogeneous long-tailed sources16 cited