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Modeling service–time distributions with non–exponential tails:beta mixtures of exponentials
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Modeling service–time distributions with non–exponential tails:beta mixtures of exponentials (1999)Modeling service–time distributions with …INFINITE-SERIES REPRESENTATIONS OF LAPLACE TRANSFORMS OF PROBABILITY DENSITY FUNCTIONS FOR NUMERICAL INVERSION (1999)INFINITE-SERIES REPRESENTATIO…Explicit M/G/1 waiting-time distributions for a class of long-tail service-time distributions (1999)Explicit M/G/1 waiting-time d…Control and recovery from rare congestion events in a large multi-server system (1997)Control and recovery from rar…Asymptotics for M/G/1 low-priority waiting-time tail probabilities (1997)Asymptotics for M/G/1 low-pri…An operational calculus for probability distributions via Laplace transforms (1996)An operational calculus for p…Asymptotic Analysis of Tail Probabilities Based on the Computation of Moments (1995)Asymptotic Analysis of Tail P…Waiting-time tail probabilities in queues with long-tail service-time distributions (1994)Waiting-time tail probabiliti…The correlation functions of rbm and m/m/1 (1988)The correlation functions of …Simple spectral representations for the M/M/1 queue (1988)Simple spectral representatio…Transient behavior of regulated Brownian motion, I: Starting at the origin (1987)Transient behavior of regulat…On queues in which customers are served in random order (1962)On queues in which customers …On the distribution of queueing times (1953)The Single Server Queue (1983)The Single Server Queue. (1983)An overview of Brownian and non-Brownian FCLTs for the single-server queue (2000)Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Large deviations, the shape of the loss curve, and economies of scale in large multiplexers (1995)Priority queueing systems: from probability generating functions to tail probabilities (2006)On the tails of waiting-time distributions (1975)Stochastic Processes in Queueing Theory (1976)Applied Probability and Queues (1987)Asymptotics for steady-state tail probabilities in structured markov queueing models (1994)Rare Events Simulation for Heavy-Tailed Distributions (2000)Improved algorithms for rare event simulation with heavy tails (2006)Stochastic Service Systems. (1963)Brownian Motion and Stochastic Flow Systems. (1987)Asymptotic Formulas for Markov Processes with Applications to Simulation (1992)On the Correlation Structure of a Lévy-Driven Queue (2008)Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-geometric solutions in stochastic models (1985)Comparison Methods for Queues and Other Stochastic Models. (1986)Limits and Approximations for the Busy-Period Distribution in Single-Server Queues (1995)Limits and approximations for the M/G/1 LIFO waiting-time distribution (1997)Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Linear stochastic fluid networks (1999)Elements of Queueing Theory (2003)A multi-class fluid model for a contact center with skill-based routing (2005)Tail Asymptotics for the Queue Size Distribution in an M/G/1 Retrial Queue (2007)Some Problems in the Theory of Queues (1951)Queue Disciplines in Heavy Traffic (1982)The equivalence between processor sharing and service in random order (2003)Waiting Time Asymptotics in the Single Server Queue with Service in Random Order (2004)Computing distributions and moments in polling models by numerical transform inversion (1996)Stochastic Modeling and the Theory of Queues (1989)Sampling at subexponential times, with queueing applications (1999)Analysis, Design, and Control of Queueing Systems (2002)Bursty Human Dynamics (2017)State-dependent stochastic networks. Part I. Approximations and applications with continuous diffusion limits (1998)On the transition densities for reflected diffusions (2005)Asymptotic analysis of queueing systems with reneging: A survey of results for FIFO, single class models (2011)
this work references cited by second hop

References

  • 1997Asymptotics for M/G/1 low-priority waiting-time tail probabilities145 cited
  • 1994Waiting-time tail probabilities in queues with long-tail service-time distributions122 cited
  • 1987Transient behavior of regulated Brownian motion, I: Starting at the origin109 cited
  • 1962On queues in which customers are served in random order57 cited
  • 1996An operational calculus for probability distributions via Laplace transforms46 cited
  • 1995Asymptotic Analysis of Tail Probabilities Based on the Computation of Moments37 cited
  • 1988The correlation functions of rbm and m/m/134 cited
  • 1997Control and recovery from rare congestion events in a large multi-server system34 cited
  • 1999Explicit M/G/1 waiting-time distributions for a class of long-tail service-time distributions26 cited
  • 1999INFINITE-SERIES REPRESENTATIONS OF LAPLACE TRANSFORMS OF PROBABILITY DENSITY FUNCTIONS FOR NUMERICAL INVERSION25 cited
  • 1988Simple spectral representations for the M/M/1 queue20 cited

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