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Convexity properties of loss and overflow functions
7 references·1 citing·26 second hop
Convexity properties of loss and overflow functions (2003)Convexity properties of loss and overflow…Overflow behavior in queues with many long-tailed inputs (2000)Overflow behavior in queues w…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…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 approximation for fluid queues fed by a large number of on/off sources (1995)Large deviations approximatio…Brownian Motion and Stochastic Flow Systems. (1987)Brownian Motion and Stochasti…Convexity in Queues With General Inputs (2005)Convexity in Queues With Gene…Fractional Brownian Motions, Fractional Noises and Applications (1968)A storage model with self-similar input (1994)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Large Deviations for Small Buffers: An Insensitivity Result (2001)Sample-path large deviations for tandem and priority queues with Gaussian inputs (2005)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Effective bandwidths at multi-class queues (1991)Sample path large deviations for queues with many inputs (2001)Cell loss asymptotics in buffers fed with a large number of independent stationary sources (2002)Applied Probability and Queues (1987)Exact asymptotics for fluid queues fed by multiple heavy-tailed on–off flows (2004)Asymptotic analysis of Lévy-driven tandem queues (2008)Performance Evaluation of a Queue Fed by a Poisson Lomax Burst Process (2014)Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Exact overflow asymptotics for queues with many Gaussian inputs (2003)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)Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues and Other Stochastic Models. (1986)Elements of Queueing Theory (2003)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)Time-changed Lévy processes and option pricing (2003)Selection, Growth, and the Size Distribution of Firms (2007)A Continuous-Time Version of the Principal–Agent Problem (2008)
this work references cited by second hop

References

  • 1987Brownian Motion and Stochastic Flow Systems.1,091 cited
  • 1995Large deviations, the shape of the loss curve, and economies of scale in large multiplexers244 cited
  • 1996Buffer overflow asymptotics for a buffer handling many traffic sources198 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
  • 1998Queueing at large resources driven by long-tailed M/G/∞-modulated processes52 cited
  • 2000Overflow behavior in queues with many long-tailed inputs32 cited

Cited by

  • 2005Convexity in Queues With General Inputs13 cited

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