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Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions
3 references·16 citing·41 second hop
Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions (1974)Application of the Diffusion Approximatio…Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Open, Closed, and Mixed Netwo…Closed Queuing Systems with Exponential Servers (1967)Closed Queuing Systems with E…On Queues in Heavy Traffic (1962)On Queues in Heavy TrafficChapter 5 Performance evaluation of production networks (1993)Chapter 5 Performance evaluat…Asymptotic behavior of the expansion method for open finite queueing networks (1988)Asymptotic behavior of the ex…The generalized expansion method for open finite queueing networks (1987)The generalized expansion met…On Approximate Queueing Models of Dynamic Job Shops (1985)On Approximate Queueing Model…Diffusion Approximation for an M / G / m Queue (1983)Diffusion Approximation for a…On the Distribution of Multidimensional Reflected Brownian Motion (1981)On the Distribution of Multid…Probabilistic models of computer systems (1979)Probabilistic models of compu…Closed Exponential Networks of Queues with Saturation: The Jackson-Type Stationary Distribution and Its Asymptotic Analysis (1979)Closed Exponential Networks o…An Approximate Analytical Method for General Queueing Networks (1979)An Approximate Analytical Met…Approximate Methods for Analyzing Queueing Network Models of Computing Systems (1978)Approximate Methods for Analy…A Multi-User-Class, Blocked-Calls-Cleared, Demand Access Model (1978)A Multi-User-Class, Blocked-C…A Basic Dynamic Routing Problem and Diffusion (1978)A Basic Dynamic Routing Probl…The behaviour of a single queue in a general queueing network (1976)The behaviour of a single que…Probabilistic models of computer systems?Part I (exact results) (1976)Probabilistic models of compu…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 …Approximate Analysis of General Queuing Networks (1975)On queueing network models of flexible manufacturing systems (1986)Entropy maximisation and queueing network models (1994)Jobshop-Like Queueing Systems (1963)Multiproduct Queueing Networks with Deterministic Routing: Decomposition Approach and the Notion of Interference (1988)Jobshop-Like Queueing Systems (2004)Finite Queues in Series with Exponential or Erlang Service Times—A Numerical Approach (1967)Approximate Analysis of General Queuing Networks by Decomposition (1979)The Queueing Network Analyzer (1983)Buffer Space Allocation in Automated Assembly Lines (1988)Large production line optimization using simulated annealing (2000)The buffer allocation problem for general finite buffer queueing networks (2005)The Operational Analysis of Queueing Network Models (1978)Approximating a Point Process by a Renewal Process, II: Superposition Arrival Processes to Queues (1984)A queueing network model for semiconductor manufacturing (1996)Queueing theory in manufacturing: A survey (1999)Networks of Waiting Lines (1957)The Distribution of Queuing Network States at Input and Output Instants (1981)Stochastic Differential Equations (1972)Queueing Systems. Volume 1: Theory (1975)STOCHASTIC DIFFERENTIAL EQUATIONS: THEORY AND APPLICATIONS (1976)Resource pooling in queueing networks with dynamic routing (1992)On the Power of (Even a Little) Resource Pooling (2012)Join the Shortest Queue with Many Servers. The Heavy-Traffic Asymptotics (2018)A Proof for the Queuing Formula: L = λ W (1961)Fundamentals of Queueing Theory. (1977)Jackson Network Models of Manufacturing Systems (1994)Overlapping Decomposition: A System-Theoretic Method for Modeling and Analysis of Complex Manufacturing Systems (2005)Queueing-model based analysis of assembly lines with finite buffers and general service times (2007)Some Problems in the Theory of Queues (1951)The theory of queues with a single server (1952)Some Inequalities for the Queue GI/G/1 (1962)The stability of a queue with non-independent inter-arrival and service times (1962)Approximation Methods for Queues with Application to the Fixed-Cycle Traffic Light (1965)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Integral Representations and Asymptotic Expansions for Closed Markovian Queueing Networks: Normal Usage (1982)Product forms for queueing networks with state-dependent multiple job transitions (1991)On Decomposition Methods for Tandem Queueing Networks with Blocking (1993)Mean-Value Analysis of Closed Multichain Queuing Networks (1980)Blocking in a Shared Resource Environment (1981)An introduction to queueing theory (1993)
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References

  • 1975Open, Closed, and Mixed Networks of Queues with Different Classes of Customers2,411 cited
  • 1967Closed Queuing Systems with Exponential Servers670 cited
  • 1962On Queues in Heavy Traffic342 cited

Cited by

  • 1975On Approximate Computer System Models248 cited
  • 1978Approximate Methods for Analyzing Queueing Network Models of Computing Systems187 cited
  • 1979An Approximate Analytical Method for General Queueing Networks173 cited
  • 1978A Basic Dynamic Routing Problem and Diffusion168 cited
  • 1993Chapter 5 Performance evaluation of production networks134 cited
  • 1979Closed Exponential Networks of Queues with Saturation: The Jackson-Type Stationary Distribution and Its Asymptotic Analysis132 cited
  • 1987The generalized expansion method for open finite queueing networks128 cited
  • 1985On Approximate Queueing Models of Dynamic Job Shops121 cited
  • 1981On the Distribution of Multidimensional Reflected Brownian Motion118 cited
  • 1978A Multi-User-Class, Blocked-Calls-Cleared, Demand Access Model116 cited
  • 1976The behaviour of a single queue in a general queueing network112 cited
  • 1979Probabilistic models of computer systems

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98 cited
  • 1976Probabilistic models of computer systems?Part I (exact results)97 cited
  • 1983Diffusion Approximation for an M / G / m Queue90 cited
  • 1988Asymptotic behavior of the expansion method for open finite queueing networks88 cited
  • 1974Application of the Diffusion Approximation to Queueing Networks II: Nonequilibrium Distributions and Applications to Computer Modeling88 cited