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Asymptotic loss probability in a finite buffer fluid queue with hetergeneous heavy-tailed on--off processes
16 references·0 citing·38 second hop
Asymptotic loss probability in a finite buffer fluid queue with hetergeneous heavy-tailed on--off processes (2003)Asymptotic loss probability in a finite b…Subexponential Distributions (2004)Subexponential DistributionsOn a reduced load equivalence for fluid queues under subexponentiality (1999)On a reduced load equivalence…Asymptotic results for multiplexing subexponential on-off processes (1999)Asymptotic results for multip…Asymptotic behavior of a multiplexer fed by a long-range dependent process (1999)Asymptotic behavior of a mult…Activity periods of an infinite server queue and performance of certain heavy tailed fluid queues (1999)Activity periods of an infini…Queueing at large resources driven by long-tailed M/G/∞-modulated processes (1998)Queueing at large resources d…Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models (1998)Heavy Tails and Long Range De…The effect of multiple time scales and subexponentiality in MPEG video streams on queueing behavior (1997)The effect of multiple time s…Tail probabilities for M/G/∞ input processes (I): Preliminary asymptotics (1997)Tail probabilities for M/G/∞ …Long-tail buffer-content distributions in broadband networks (1997)Long-tail buffer-content dist…Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Logarithmic asymptotics for s…The Single Server Queue (1983)The Single Server QueueStochastic 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 …Superimposed renewal processes and storage with gradual input (1974)Superimposed renewal processe…The stability of a queue with non-independent inter-arrival and service times (1962)The stability of a queue with…The Single Server Queue. (1983)The M/G/1 queue with heavy-tailed service time distribution (1998)Heavy-traffic analysis for the GI/G/1 queue with 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)Introduction to the Theory of Queues. (1963)Applied Probability and Queues (1987)Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)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)Effective bandwidths of departure processes from queues with time varying capacities (2002)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? (2002)Precise large deviations for sums of random variables with consistently varying tails (2004)Introduction to Stochastic Processes (2014)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)Traffic modeling for telecommunications networks (1994)The M / G /1 queue with two service speeds (2001)Tractable stochastic analysis in high dimensions via robust optimization (2012)Robust Queueing Theory (2015)Estimates for the probability of ruin with special emphasis on the possibility of large claims (1982)Modelling Extremal Events (1997)Appendix: A primer on heavy-tailed distributions (1999)Stochastic Processes for Insurance & Finance (1999)Rare Events Simulation for Heavy-Tailed Distributions (2000)Convolution equivalence and infinite divisibility (2004)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)On Queues in Heavy Traffic (1962)On the stability of interacting queues in a multiple-access system (1988)Manufacturing flow line systems: a review of models and analytical results (1992)The origin of bursts and heavy tails in human dynamics (2005)Modeling bursts and heavy tails in human dynamics (2006)
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References

  • 1982Stochastic Theory of a Data-Handling System with Multiple Sources1,271 cited
  • 1962The stability of a queue with non-independent inter-arrival and service times1,045 cited
  • 1983The Single Server Queue844 cited
  • 1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue290 cited
  • 1975On the tails of waiting-time distributions226 cited
  • 1998Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models176 cited
  • 2004Subexponential Distributions144 cited
  • 1999Asymptotic results for multiplexing subexponential on-off processes129 cited
  • 1997The effect of multiple time scales and subexponentiality in MPEG video streams on queueing behavior107 cited
  • 1974Superimposed renewal processes and storage with gradual input62 cited
  • 1997Tail probabilities for M/G/∞ input processes (I): Preliminary asymptotics61 cited
  • 1999Activity periods of an infinite server queue and performance of certain heavy tailed fluid queues58 cited
  • 1999Asymptotic behavior of a multiplexer fed by a long-range dependent process55 cited
  • 1998Queueing at large resources driven by long-tailed M/G/∞-modulated processes52 cited
  • 1997Long-tail buffer-content distributions in broadband networks

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52 cited
  • 1999On a reduced load equivalence for fluid queues under subexponentiality51 cited
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