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Transient Behavior of the M/G/1 Workload Process
16 references·10 citing·32 second hop
Transient Behavior of the M/G/1 Workload Process (1994)Transient Behavior of the M/G/1 Workload …Planning 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…Brownian Motion and Stochastic Flow Systems. (1987)Brownian Motion and Stochasti…Applied Probability and Queues (1987)Applied Probability and QueuesThe Single Server Queue (1983)The Single Server QueueAn Empirical Investigation of the Transient Behavior of Stationary Queueing Systems (1983)An Empirical Investigation of…A Closure Approximation for the Nonstationary M / M / s Queue (1979)A Closure Approximation for t…Theory, Volume 1, Queueing Systems (1975)Theory, Volume 1, Queueing Sy…QUEUES AND INVENTORIES (1967)QUEUES AND INVENTORIESIntroduction to the Theory of Queues. (1963)Introduction to the Theory of…On Time Dependent Queuing Processes (1960)On Time Dependent Queuing Pro…On the Characteristics of the General Queueing Process, with Applications to Random Walk (1956)On the Characteristics of the…Investigation of waiting time problems by reduction to Markov processes (1955)Investigation of waiting time…Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain (1953)Stochastic Processes Occurrin…Some Problems in the Theory of Queues (1951)Some Problems in the Theory o…Simulation-Based Computation of the Workload Correlation Function in a Lévy-Driven Queue (2011)Simulation-Based Computation …Order release planning with clearing functions: A queueing-theoretical analysis of the clearing function concept (2009)Order release planning with c…On the Correlation Structure of a Lévy-Driven Queue (2008)On the Correlation Structure …On the integral of the workload process of the single server queue (2003)On the integral of the worklo…On Busy Periods of the Unbounded Brownian Storage (2001)On Busy Periods of the Unboun…Further transient analysis of theBMAP/G/1 Queue (1998)Further transient analysis of…Numerical Solution of Piecewise-Stationary Mt/Gt/1 Queues (1997)Numerical Solution of Piecewi…Limits and approximations for the M/G/1 LIFO waiting-time distribution (1997)Limits and approximations for…Calculating the M/G/1 busy-period density and LIFO waiting-time distribution by direct numerical transform inversion (1995)Calculating the M/G/1 busy-pe…Solving probability transform functional equations for numerical inversion (1992)Solving probability transform…The theory of queues with a single server (1952)Many server queueing processes with Poisson input and exponential service times (1958)Fluctuation theory in continuous time (1975)Fluctuation theory in continuous time (1975)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)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)Simulation Run Length Control in the Presence of an Initial Transient (1983)Competitive routing in multiuser communication networks (1993)On the Stochastic Matrices Associated with Certain Queuing Processes (1953)On Queueing Processes with Bulk Service (1954)Control Techniques for Complex Networks (2007)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)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 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)On the tails of waiting-time distributions (1975)Transient solutions in markovian queueing systems (1977)The Output of a Queueing System (1981)On Queues in Heavy Traffic (1962)Manufacturing flow line systems: a review of models and analytical results (1992)The origin of bursts and heavy tails in human dynamics (2005)Modeling bursts and heavy tails in human dynamics (2006)
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References

  • 1987Applied Probability and Queues2,704 cited
  • 1975Theory, Volume 1, Queueing Systems1,411 cited
  • 1987Brownian Motion and Stochastic Flow Systems.1,091 cited
  • 1953Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain1,082 cited
  • 1963Introduction to the Theory of Queues.961 cited
  • 1983The Single Server Queue844 cited
  • 1951Some Problems in the Theory of Queues653 cited
  • 1967QUEUES AND INVENTORIES281 cited
  • 1955Investigation of waiting time problems by reduction to Markov processes207 cited
  • 1989Planning Queueing Simulations203 cited
  • 1956On the Characteristics of the General Queueing Process, with Applications to Random Walk195 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
  • 1960On Time Dependent Queuing Processes123 cited
  • 1979A Closure Approximation for the Nonstationary M / M / s Queue

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110 cited

Cited by

  • 1992Solving probability transform functional equations for numerical inversion55 cited
  • 2009Order release planning with clearing functions: A queueing-theoretical analysis of the clearing function concept41 cited
  • 1997Numerical Solution of Piecewise-Stationary Mt/Gt/1 Queues23 cited
  • 2008On the Correlation Structure of a Lévy-Driven Queue21 cited
  • 2003On the integral of the workload process of the single server queue21 cited
  • 1998Further transient analysis of theBMAP/G/1 Queue21 cited
  • 2011Simulation-Based Computation of the Workload Correlation Function in a Lévy-Driven Queue18 cited
  • 1995Calculating the M/G/1 busy-period density and LIFO waiting-time distribution by direct numerical transform inversion18 cited
  • 1997Limits and approximations for the M/G/1 LIFO waiting-time distribution17 cited
  • 2001On Busy Periods of the Unbounded Brownian Storage16 cited