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The correlation functions of rbm and m/m/1
16 references·6 citing·38 second hop
The correlation functions of rbm and m/m/1 (1988)The correlation functions of rbm and m/m/1Planning Queueing Simulations (1989)Planning Queueing SimulationsTransient behavior of the M/M/ 1 queue via Laplace transforms (1988)Transient behavior of the M/M…Transient behavior of the M/M/l queue: Starting at the origin (1987)Transient behavior of the M/M…Transient behavior of regulated Brownian motion, I: Starting at the origin (1987)Transient behavior of regulat…Brownian Motion and Stochastic Flow Systems. (1987)Brownian Motion and Stochasti…On Approximations for Queues, III: Mixtures of Exponential Distributions (1984)On Approximations for Queues,…The Single Server Queue. (1983)The Single Server Queue.An Empirical Investigation of the Transient Behavior of Stationary Queueing Systems (1983)An Empirical Investigation of…Stochastic Monotonicity and Queueing Applications of Birth-Death Processes (1981)Stochastic Monotonicity and Q…The covariance structure of queues and related processes – a survey of recent work (1975)The covariance structure of q…Multiple channel queues in heavy traffic. II: sequences, networks, and batches (1970)Multiple channel queues in he…Stochastic Service Systems. (1963)Stochastic Service Systems.Many server queueing processes with Poisson input and exponential service times (1958)Many server queueing processe…On Queues with Poisson Arrivals (1957)On Queues with Poisson Arriva…Stochastic Properties of Waiting Lines (1955)Stochastic Properties of Wait…Investigation of waiting time problems by reduction to Markov processes (1955)Investigation of waiting time…On the Correlation Structure of a Lévy-Driven Queue (2008)On the Correlation Structure …Modeling service–time distributions with non–exponential tails:beta mixtures of exponentials (1999)Modeling service–time distrib…An operational calculus for probability distributions via Laplace transforms (1996)An operational calculus for p…Autocorrelations in infinite server batch arrival queues (1993)Autocorrelations in infinite …Asymptotic Formulas for Markov Processes with Applications to Simulation (1992)Asymptotic Formulas for Marko…Simple spectral representations for the M/M/1 queue (1988)Simple spectral representatio…The Single Server Queue (1983)Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues and Other Stochastic Models. (1986)Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue (1989)The Efficiency of One Long Run Versus Independent Replications in Steady-State Simulation (1991)The single server queue in heavy traffic (1961)Multiple channel queues in heavy traffic. I (1970)Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Queues, Inventories and Maintenance. (1960)Fundamentals of Queueing Theory. (1977)Risk theory in a Markovian environment (1989)Some Problems in the Theory of Queues (1951)The theory of queues with a single server (1952)Fluctuation theory in continuous time (1975)Fluctuation theory in continuous time (1975)Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain (1953)On the theory of queues with many servers (1955)Some Recent Work and Further Problems in the Theory of Queues (1964)The Analysis of Simulation-Generated Time Series (1967)The stability of a queue with non-independent inter-arrival and service times (1962)Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)The Queueing Network Analyzer (1983)Descriptive Sampling: A Better Approach to Monte Carlo Simulation (1990)The Asymptotic Validity of Sequential Stopping Rules for Stochastic Simulations (1992)Proceedings of the 2017 Winter Simulation Conference (2017)An introduction to queueing theory (1993)Transient analysis of Bernoulli serial lines: performance evaluation and system-theoretic properties (2012)Extreme Values in the GI/G/1 Queue (1972)Asymptotic behaviour of Wiener-Hopf factors of a random walk (1977)Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines (1996)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)A survey on retrial queues (1989)Queueing Models of Call Centers: An Introduction (2002)Behavior in operations management: Assessing recent findings and revisiting old assumptions (2006)
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References

  • 1987Brownian Motion and Stochastic Flow Systems.1,091 cited
  • 1983The Single Server Queue.370 cited
  • 1963Stochastic Service Systems.327 cited
  • 1970Multiple channel queues in heavy traffic. II: sequences, networks, and batches281 cited
  • 1955Investigation of waiting time problems by reduction to Markov processes207 cited
  • 1989Planning Queueing Simulations203 cited
  • 1958Many server queueing processes with Poisson input and exponential service times182 cited
  • 1983An Empirical Investigation of the Transient Behavior of Stationary Queueing Systems128 cited
  • 1988Transient behavior of the M/M/ 1 queue via Laplace transforms127 cited
  • 1987Transient behavior of the M/M/l queue: Starting at the origin124 cited
  • 1987Transient behavior of regulated Brownian motion, I: Starting at the origin109 cited
  • 1955Stochastic Properties of Waiting Lines103 cited
  • 1957On Queues with Poisson Arrivals102 cited
  • 1984On Approximations for Queues, III: Mixtures of Exponential Distributions81 cited
  • 1981Stochastic Monotonicity and Queueing Applications of Birth-Death Processes80 cited
  • 1975

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The covariance structure of queues and related processes – a survey of recent work
63 cited

Cited by

  • 1992Asymptotic Formulas for Markov Processes with Applications to Simulation61 cited
  • 1996An operational calculus for probability distributions via Laplace transforms46 cited
  • 2008On the Correlation Structure of a Lévy-Driven Queue21 cited
  • 1988Simple spectral representations for the M/M/1 queue20 cited
  • 1999Modeling service–time distributions with non–exponential tails:beta mixtures of exponentials18 cited
  • 1993Autocorrelations in infinite server batch arrival queues15 cited