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An approximation for the busy period of the M/G/1 queue using a diffusion model
1 references·7 citing·27 second hop
An approximation for the busy period of the M/G/1 queue using a diffusion model (1974)An approximation for the busy period of t…Diffusion approximations and models for certain congestion problems (1968)Diffusion approximations and …Diffusion Approximation as a Modelling Tool (2011)Diffusion Approximation as a …Busy Periods of Poisson Arrival Queues with Loss (2001)Busy Periods of Poisson Arriv…A new approach to the busy period of the M/M/1 queue (2000)A new approach to the busy pe…An operational calculus for probability distributions via Laplace transforms (1996)An operational calculus for p…Limits and Approximations for the Busy-Period Distribution in Single-Server Queues (1995)Limits and Approximations for…Approximation techniques in the solution of queueing problems (1979)Approximation techniques in t…On-Line and Adaptive Optimum Advertising Control by a Diffusion Approximation (1975)On-Line and Adaptive Optimum …The Single Server Queue (1983)A queueing system with impatient customers (1985)Applied Probability and Queues (1987)The Output of a Queuing System (1956)Multiple channel queues in heavy traffic. I (1970)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Stochastic Storage Processes (1998)Stochastic Storage Processes: Queues, Insurance Risk, Dams and Data Communication (1999)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 M/G/1 LIFO waiting-time distribution (1997)Modeling service–time distributions with non–exponential tails:beta mixtures of exponentials (1999)Approximation Methods for Queues with Application to the Fixed-Cycle Traffic Light (1965)Observing Stochastic Processes, and Approximate Transform Inversion (1966)QUEUES AND INVENTORIES (1967)Heavy Traffic Limit Theorems for Queues: A Survey (1974)Dynamic Modeling and Control of Congestion-Prone Systems (1976)Transient behavior of the M/M/ 1 queue via Laplace transforms (1988)An Operations-Research Study of Sales Response to Advertising (1957)On the relation between ordinary and stochastic differential equations (1965)Optimal Advertising Policy Under Dynamic Conditions (1976)A communication mix for an event planning: a linear quadratic approach (2006)The single server queue in heavy traffic (1961)The Queueing Network Analyzer (1983)Fundamentals of Queueing Theory. (1977)Elements of Queueing Theory (2014)
this work references cited by second hop

References

  • 1968Diffusion approximations and models for certain congestion problems132 cited

Cited by

  • 1996An operational calculus for probability distributions via Laplace transforms46 cited
  • 1975On-Line and Adaptive Optimum Advertising Control by a Diffusion Approximation37 cited
  • 2011Diffusion Approximation as a Modelling Tool22 cited
  • 1979Approximation techniques in the solution of queueing problems17 cited
  • 2001Busy Periods of Poisson Arrival Queues with Loss15 cited
  • 1995Limits and Approximations for the Busy-Period Distribution in Single-Server Queues15 cited
  • 2000A new approach to the busy period of the M/M/1 queue14 cited

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