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Large Deviations for Small Buffers: An Insensitivity Result
11 references·9 citing·28 second hop
Large Deviations for Small Buffers: An Insensitivity Result (2001)Large Deviations for Small Buffers: An In…Cell loss asymptotics in buffers fed with a large number of independent stationary sources (2002)Cell loss asymptotics in buff…Cell loss asymptotics for buffers fed with a large number of independent stationary sources (1999)Cell loss asymptotics for buf…Queueing at large resources driven by long-tailed M/G/∞-modulated processes (1998)Queueing at large resources d…Fluid queues with long-tailed activity period distributions (1998)Fluid queues with long-tailed…Large Deviations for Performance Analysis: Queues, Communications, and Computing, Adam Shwartz and Alan Weiss (New York: Chapman and Hall, 1995). (1996)Large Deviations for Performa…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…Large Deviations For Performance Analysis: Queues, Communication and Computing (1995)Large Deviations For Performa…Large deviations approximation for fluid queues fed by a large number of on/off sources (1995)Large deviations approximatio…A new technique for analyzing large traffic systems (1986)A new technique for analyzing…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…Many Sources Asymptotics for Networks with Small Buffers (2004)Many Sources Asymptotics for …Exact asymptotics for fluid queues fed by multiple heavy-tailed on–off flows (2004)Exact asymptotics for fluid q…The Asymptotic Workload Behavior of Two Coupled Queues (2003)The Asymptotic Workload Behav…GPS queues with heterogeneous traffic classes (2003)GPS queues with heterogeneous…Generalized processor sharing queues (2003)Generalized processor sharing…Exact overflow asymptotics for queues with many Gaussian inputs (2003)Exact overflow asymptotics fo…A reduced-peak equivalence for queues with a mixture of light-tailed and heavy-tailed input flows (2003)A reduced-peak equivalence fo…Overflow behavior in queues with many long-tailed inputs (2000)Overflow behavior in queues w…A storage model with self-similar input (1994)Large deviations and overflow probabilities for the general single-server queue, with applications (1995)The M/G/1 queue with heavy-tailed service time distribution (1998)Asymptotic behavior of a multiplexer fed by a long-range dependent process (1999)Tail Asymptotics for the Busy Period in the GI/G/1 Queue (2001)Effective bandwidths at multi-class queues (1991)Sample path large deviations for queues with many inputs (2001)Analysis of separable Markov-modulated rate models for information-handling systems (1991)Heavy traffic analysis of a storage model with long range dependent On/Off sources (1996)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)Asymptotic buffer overflow probabilities in multiclass multiplexers: an optimal control approach (1998)Managerial Allocation of Time and Effort: The Effects of Interruptions (2001)Load balancing and density dependent jump Markov processes (2002)Advances in Queueing Theory, Methods, and Open Problems (2023)Applications of Queueing Theory (1985)Erlang capacity and uniform approximations for shared unbuffered resources (1994)Exponential bounds for queues with Markovian arrivals (1994)Steady-State Distribution of the Buffer Content for M/G/ infinity Input Fluid Queues (2001)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Traffic modeling for telecommunications networks (1994)Loss asymptotics in large buffers fed by heterogeneous long-tailed sources (2000)On the asymptotic relationship between the overflow probability and the loss ratio (2001)Asymptotic results for multiplexing subexponential on-off processes (1999)Largest Weighted Delay First Scheduling: Large Deviations and Optimality (2001)Analysis, Design, and Control of Queueing Systems (2002)
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References

  • 1982Stochastic Theory of a Data-Handling System with Multiple Sources1,271 cited
  • 1995Large deviations, the shape of the loss curve, and economies of scale in large multiplexers244 cited
  • 1995Large Deviations For Performance Analysis: Queues, Communication and Computing211 cited
  • 1996Buffer overflow asymptotics for a buffer handling many traffic sources198 cited
  • 1996Large Deviations for Performance Analysis: Queues, Communications, and Computing, Adam Shwartz and Alan Weiss (New York: Chapman and Hall, 1995).142 cited
  • 1986A new technique for analyzing large traffic systems128 cited
  • 1995Large deviations approximation for fluid queues fed by a large number of on/off sources100 cited
  • 1999Cell loss asymptotics for buffers fed with a large number of independent stationary sources95 cited
  • 1998Fluid queues with long-tailed activity period distributions69 cited
  • 2002Cell loss asymptotics in buffers fed with a large number of independent stationary sources64 cited
  • 1998Queueing at large resources driven by long-tailed M/G/∞-modulated processes52 cited

Cited by

  • 2003Exact overflow asymptotics for queues with many Gaussian inputs49 cited
  • 2003The Asymptotic Workload Behavior of Two Coupled Queues32 cited
  • 2000Overflow behavior in queues with many long-tailed inputs

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32 cited
  • 2004Exact asymptotics for fluid queues fed by multiple heavy-tailed on–off flows21 cited
  • 2003Generalized processor sharing queues20 cited
  • 2008Performance analysis of a Poisson–Pareto queue over the full range of system parameters16 cited
  • 2004Many Sources Asymptotics for Networks with Small Buffers14 cited
  • 2003A reduced-peak equivalence for queues with a mixture of light-tailed and heavy-tailed input flows13 cited
  • 2003GPS queues with heterogeneous traffic classes12 cited