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Logarithmic asymptotics for steady-state tail probabilities in a single-server queue
9 references·16 citing·32 second hop
Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Logarithmic asymptotics for steady-state …Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Stability, queue length, and …Effective bandwidths at multi-class queues (1991)Effective bandwidths at multi…Applied Probability and Queues (1987)Applied Probability and QueuesQueues and Point Processes. (1985)Queues and Point Processes.Stochastic Processes in Queueing Theory (1976)Stochastic Processes in Queue…Multiple channel queues in heavy traffic. II: sequences, networks, and batches (1970)Multiple channel queues in he…Multiple channel queues in heavy traffic. I (1970)Multiple channel queues in he…Introduction to the Theory of Queues. (1963)Introduction to the Theory of…On Queues in Heavy Traffic (1962)On Queues in Heavy TrafficIs Tail-Optimal Scheduling Possible? (2012)Is Tail-Optimal Scheduling Po…M|G|∞ input processes: a versatile class of models for network traffic (2002)M|G|∞ input processes: a vers…Effective bandwidths of departure processes from queues with time varying capacities (2002)Effective bandwidths of depar…Loss probability calculations and asymptotic analysis for finite buffer multiplexers (2001)Loss probability calculations…Tail probabilities for non-standard risk and queueing processes with subexponential jumps (1999)Tail probabilities for non-st…Sampling at subexponential times, with queueing applications (1999)Sampling at subexponential ti…Asymptotic results for multiplexing subexponential on-off processes (1999)Asymptotic results for multip…Subexponential asymptotics of a Markov-modulated random walk with queueing applications (1998)Subexponential asymptotics of…A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks (1998)A central-limit-theorem-based…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…Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)Exponential Approximations fo…An introduction to large deviations for communication networks (1995)An introduction to large devi…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…The single server queue in heavy traffic (1961)Multiproduct Queueing Networks with Deterministic Routing: Decomposition Approach and the Notion of Interference (1988)Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Loss Networks (1991)Fast simulation of rare events in queueing and reliability models (1995)Largest Weighted Delay First Scheduling: Large Deviations and Optimality (2001)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)A Stackelberg Network Game with a Large Number of Followers (2002)The stability of a queue with non-independent inter-arrival and service times (1962)Comparison Methods for Queues and Other Stochastic Models. (1986)Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Some Problems in the Theory of Queues (1951)The theory of queues with a single server (1952)Some Inequalities for the Queue GI/G/1 (1962)Approximation Methods for Queues with Application to the Fixed-Cycle Traffic Light (1965)Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions (1974)Continuity of Generalized Semi-Markov Processes (1980)Marked point processes as limits of Markovian arrival streams (1993)OR FORUM—Little's Law as Viewed on Its 50th Anniversary (2011)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Asset Pricing with Heterogeneous Consumers (1996)A General Class of Bulk Queues with Poisson Input (1967)Stochastic Processes for Insurance and Finance (1999)Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System (2007)Open Queueing Networks in Heavy Traffic (1984)Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)Martingale Methods in Financial Modelling (1997)Fluctuations of Lévy Processes with Applications (2014)
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References

  • 1987Applied Probability and Queues2,704 cited
  • 1963Introduction to the Theory of Queues.961 cited
  • 1994Stability, queue length, and delay of deterministic and stochastic queueing networks815 cited
  • 1976Stochastic Processes in Queueing Theory674 cited
  • 1991Effective bandwidths at multi-class queues457 cited
  • 1970Multiple channel queues in heavy traffic. I438 cited
  • 1962On Queues in Heavy Traffic342 cited
  • 1985Queues and Point Processes.342 cited
  • 1970Multiple channel queues in heavy traffic. II: sequences, networks, and batches281 cited

Cited by

  • 1995Large deviations, the shape of the loss curve, and economies of scale in large multiplexers244 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 networks

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132 cited
  • 1999Asymptotic results for multiplexing subexponential on-off processes129 cited
  • 1994Asymptotics for steady-state tail probabilities in structured markov queueing models116 cited
  • 1999Tail probabilities for non-standard risk and queueing processes with subexponential jumps100 cited
  • 1999Sampling at subexponential times, with queueing applications97 cited
  • 1995An introduction to large deviations for communication networks90 cited
  • 2002M|G|∞ input processes: a versatile class of models for network traffic85 cited
  • 1994Large deviations behavior of counting processes and their inverses84 cited
  • 2012Is Tail-Optimal Scheduling Possible?83 cited
  • 1995Sample path large deviations and intree networks82 cited
  • 1998Subexponential asymptotics of a Markov-modulated random walk with queueing applications81 cited