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Diffusion Approximation as a Modelling Tool
16 references·0 citing·40 second hop
Diffusion Approximation as a Modelling Tool (2011)Diffusion Approximation as a Modelling To…A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)A Markov Modulated Characteri…Applications of Queueing Theory (1985)Applications of Queueing Theo…Diffusion Approximation for an M / G / m Queue (1983)Diffusion Approximation for a…The Output of a Queueing System (1981)The Output of a Queueing Syst…Probabilistic models of computer systems (1979)Probabilistic models of compu…The behaviour of a single queue in a general queueing network (1976)The behaviour of a single que…On Approximate Computer System Models (1975)On Approximate Computer Syste…Application of the Diffusion Approximation to Queueing Networks II: Nonequilibrium Distributions and Applications to Computer Modeling (1974)Application of the Diffusion …Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions (1974)Application of the Diffusion …Accuracy of the Diffusion Approximation for Some Queuing Systems (1974)Accuracy of the Diffusion App…Weak convergence in queueing theory (1973)Weak convergence in queueing …Multiple channel queues in heavy traffic. I (1970)Multiple channel queues in he…Queues with time-dependent arrival rates I—the transition through saturation (1968)Queues with time-dependent ar…Diffusion approximations and models for certain congestion problems (1968)Diffusion approximations and …Observing Stochastic Processes, and Approximate Transform Inversion (1966)Observing Stochastic Processe…The Output of a Queuing System (1956)The Output of a Queuing SystemJobshop-Like Queueing Systems (1963)Approximate Methods for Analyzing Queueing Network Models of Computing Systems (1978)An Approximate Analytical Method for General Queueing Networks (1979)Multiproduct Queueing Networks with Deterministic Routing: Decomposition Approach and the Notion of Interference (1988)Jobshop-Like Queueing Systems (2004)The theory of queues with a single server (1952)Introduction to the Theory of Queues. (1963)The non-ergodic Jackson network (1984)Turning back time in Markovian process algebra (2003)Tractable stochastic analysis in high dimensions via robust optimization (2012)Approximation Methods for Queues with Application to the Fixed-Cycle Traffic Light (1965)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)On Queues in Heavy Traffic (1962)Closed Queuing Systems with Exponential Servers (1967)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Some Problems in the Theory of Queues (1951)On Approximate Queueing Models of Dynamic Job Shops (1985)Chapter 5 Performance evaluation of production networks (1993)Entropy maximisation and queueing network models (1994)Queueing Systems. Volume 1: Theory (1975)Poisson Arrivals See Time Averages (1982)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)New results on the single server queue with a batch markovian arrival process (1991)The Markov-modulated Poisson process (MMPP) cookbook (1993)Traffic modeling for telecommunications networks (1994)The single server queue in heavy traffic (1961)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)Steady-state simulation of queueing processes: survey of problems and solutions (1990)The Pointwise Stationary Approximation for Queues with Nonstationary Arrivals (1991)Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System (2007)Finite Queues in Series with Exponential or Erlang Service Times—A Numerical Approach (1967)Approximate Analysis of General Queuing Networks by Decomposition (1979)Make-to-order, make-to-stock, or delay product differentiation? A common framework for modeling and analysis (2004)An Introduction to Numerical Transform Inversion and Its Application to Probability Models (2000)The Theory of Scale Functions for Spectrally Negative Lévy Processes (2012)
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References

  • 1986A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance1,247 cited
  • 1956The Output of a Queuing System696 cited
  • 1970Multiple channel queues in heavy traffic. I438 cited
  • 1966Observing Stochastic Processes, and Approximate Transform Inversion429 cited
  • 1985Applications of Queueing Theory329 cited
  • 1974Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions258 cited
  • 1975On Approximate Computer System Models248 cited
  • 1981The Output of a Queueing System156 cited
  • 1974Accuracy of the Diffusion Approximation for Some Queuing Systems135 cited
  • 1968Diffusion approximations and models for certain congestion problems132 cited
  • 1973Weak convergence in queueing theory116 cited
  • 1976The behaviour of a single queue in a general queueing network112 cited
  • 1968Queues with time-dependent arrival rates I—the transition through saturation109 cited
  • 1979Probabilistic models of computer systems98 cited
  • 1983Diffusion Approximation for an M / G / m Queue90 cited
  • 1974

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Application of the Diffusion Approximation to Queueing Networks II: Nonequilibrium Distributions and Applications to Computer Modeling
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