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A large deviations analysis of the transient of a queue with many Markov fluid inputs
16 references·0 citing·34 second hop
A large deviations analysis of the transient of a queue with many Markov fluid inputs (2002)A large deviations analysis of the transi…Sample path large deviations for queues with many inputs (2001)Sample path large deviations …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…Transient analysis of fluid model for ATM statistical multiplexer (1995)Transient analysis of fluid m…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…Fast simulation of rare events in queueing and reliability models (1995)Fast simulation of rare event…Large deviations theory and efficient simulation of excessive backlogs in a GI/GI/m queue (1991)Large deviations theory and e…Heavy-Traffic Analysis of a Data-Handling System with Many Sources (1991)Heavy-Traffic Analysis of a D…How large delays build up in a GI/G/1 queue (1989)How large delays build up in …A quick simulation method for excessive backlogs in networks of queues (1989)A quick simulation method for…A new technique for analyzing large traffic systems (1986)A new technique for analyzing…Large deviations and rare events in the study of stochastic algorithms (1983)Large deviations and rare eve…Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Stochastic Theory of a Data-H…Superimposed renewal processes and storage with gradual input (1974)Superimposed renewal processe…Effective bandwidths at multi-class queues (1991)Cell loss asymptotics for buffers fed with a large number of independent stationary sources (1999)Cell loss asymptotics in buffers fed with a large number of independent stationary sources (2002)Stochastic Differential Equations (1972)Stability and Optimal Control of the Packet Switching Broadcast Channel (1977)An introduction to large deviations for communication networks (1995)Techniques for fast simulation of models of highly dependable systems (2001)Importance Sampling, Large Deviations, and Differential Games (2004)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)On the theory of queues with many servers (1955)Importance Sampling for Stochastic Simulations (1989)Chapter 11 Rare-Event Simulation Techniques: An Introduction and Recent Advances (2006)Applied Probability and Queues (1987)Proceedings of the 2002 Winter Simulation Conference (2002)Importance Sampling for Portfolio Credit Risk (2005)Rare Event Simulation using Monte Carlo Methods (2009)Introduction to Stochastic Processes (2014)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)Optimization of computer simulation models with rare events (1997)Quick simulation: a review of importance sampling techniques in communications systems (1997)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Traffic modeling for telecommunications networks (1994)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
  • 1995Fast simulation of rare events in queueing and reliability models546 cited
  • 1989A quick simulation method for excessive backlogs in networks of queues269 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
  • 1983Large deviations and rare events in the study of stochastic algorithms200 cited
  • 1996Buffer overflow asymptotics for a buffer handling many traffic sources198 cited
  • 1991Large deviations theory and efficient simulation of excessive backlogs in a GI/GI/m queue143 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
  • 1989How large delays build up in a GI/G/1 queue81 cited
  • 2001Sample path large deviations for queues with many inputs70 cited
  • 1974Superimposed renewal processes and storage with gradual input62 cited

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  • 1991Heavy-Traffic Analysis of a Data-Handling System with Many Sources53 cited
  • 1995Transient analysis of fluid model for ATM statistical multiplexer39 cited
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