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Stability, queue length, and delay of deterministic and stochastic queueing networks
3 references·16 citing·32 second hop
Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Stability, queue length, and delay of det…Comparison Methods for Queues and Other Stochastic Models. (1986)Comparison Methods for Queues…Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Stochastic Theory of a Data-H…The stability of a queue with non-independent inter-arrival and service times (1962)The stability of a queue with…Effective bandwidths of departure processes from queues with time varying capacities (2002)Effective bandwidths of depar…Analysis, Design, and Control of Queueing Systems (2002)Analysis, Design, and Control…Loss probability calculations and asymptotic analysis for finite buffer multiplexers (2001)Loss probability calculations…Largest Weighted Delay First Scheduling: Large Deviations and Optimality (2001)Largest Weighted Delay First …A large deviations perspective on the efficiency of multilevel splitting (1998)A large deviations perspectiv…A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks (1998)A central-limit-theorem-based…Bounds and Asymptotics for Planning Critical Safety Stocks (1997)Bounds and Asymptotics for Pl…Sample path large deviations and intree networks (1995)Sample path large deviations …Large deviations, the shape of the loss curve, and economies of scale in large multiplexers (1995)Large deviations, the shape o…Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Large deviations and overflow…Fast simulation of rare events in queueing and reliability models (1995)Fast simulation of rare event…Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)Exponential Approximations fo…Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Logarithmic asymptotics for s…Large deviations behavior of counting processes and their inverses (1994)Large deviations behavior of …Asymptotics for steady-state tail probabilities in structured markov queueing models (1994)Asymptotics for steady-state …Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Tail probabilities with stati…Matrix-Geometric Solutions to Stochastic Models (1984)Applied Probability and Queues (1987)Exponential bounds for queues with Markovian arrivals (1994)Effective bandwidths at multi-class queues (1991)A Stackelberg Network Game with a Large Number of Followers (2002)Introduction to the Theory of Queues. (1963)Stochastic Processes in Queueing Theory (1976)A storage model with self-similar input (1994)Wavelet analysis of long-range-dependent traffic (1998)A multifractal wavelet model with application to network traffic (1999)Importance Sampling for Stochastic Simulations (1989)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)Large Deviations For Performance Analysis: Queues, Communication and Computing (1995)Tails in scheduling (2007)Is Tail-Optimal Scheduling Possible? (2012)Waiting time distributions in the accumulating priority queue (2013)Comparison Methods for Queues and Other Stochastic Models (1984)Asymptotic buffer overflow probabilities in multiclass multiplexers: an optimal control approach (1998)Large deviations analysis of the generalized processor sharing policy (1999)A large deviation principle with queueing applications (2002)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Optimal Investment Policies for a Firm With a Random Risk Process: Exponential Utility and Minimizing the Probability of Ruin (1995)Stochastic Processes for Insurance and Finance (1999)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Traffic modeling for telecommunications networks (1994)On Queues in Heavy Traffic (1962)On the stability of interacting queues in a multiple-access system (1988)Stability conditions for some distributed systems: buffered random access systems (1994)
this work references cited by second hop

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
  • 1986Comparison Methods for Queues and Other Stochastic Models.938 cited

Cited by

  • 1995Fast simulation of rare events in queueing and reliability models546 cited
  • 1995Large deviations and overflow probabilities for the general single-server queue, with applications431 cited
  • 1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue290 cited
  • 1995Large deviations, the shape of the loss curve, and economies of scale in large multiplexers244 cited
  • 2001Largest Weighted Delay First Scheduling: Large Deviations and Optimality198 cited
  • 2002Effective bandwidths of departure processes from queues with time varying capacities151 cited
  • 1993Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues150 cited
  • 1995Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times145 cited
  • 2001Loss probability calculations and asymptotic analysis for finite buffer multiplexers134 cited
  • 1998A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks132 cited
  • 2002Analysis, Design, and Control of Queueing Systems

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128 cited
  • 1994Asymptotics for steady-state tail probabilities in structured markov queueing models116 cited
  • 1997Bounds and Asymptotics for Planning Critical Safety Stocks92 cited
  • 1994Large deviations behavior of counting processes and their inverses84 cited
  • 1995Sample path large deviations and intree networks82 cited
  • 1998A large deviations perspective on the efficiency of multilevel splitting75 cited