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Analyticity of single-server queues in light traffic
16 references·0 citing·39 second hop
Analyticity of single-server queues in light traffic (1995)Analyticity of single-server queues in li…Pade approximation for stochastic discrete-event systems (1995)Pade approximation for stocha…The MacLaurin series for the GI/G/1 queue (1992)The MacLaurin series for the …Light Traffic Equivalence in Single-Server Queues (1992)Light Traffic Equivalence in …Light Traffic Approximations in Queues (1991)Light Traffic Approximations …Open Queueing Systems in Light Traffic (1989)Open Queueing Systems in Ligh…Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue (1989)Measurements and approximatio…An Interpolation Approximation for Queueing Systems with Poisson Input (1988)An Interpolation Approximatio…An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals (1986)An Asymptotic Analysis of a Q…The queue GI/G/1: Finite moments of the cycle variables and uniform rates of convergence (1985)The queue GI/G/1: Finite mome…Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-Geometric Solutions to…Technical Note—A Note on Waiting Times in Single Server Queues (1983)Technical Note—A Note on Wait…A Light-Traffic Theorem for Multi-Server Queues (1983)A Light-Traffic Theorem for M…Mathematical Theory of Connecting Networks and Telephone Traffic. (1966)Mathematical Theory of Connec…Mathematical Theory of Connecting Networks and Telephone Traffic (1966)Mathematical Theory of Connec…Introduction to the Theory of Queues. (1963)Introduction to the Theory of…Introduction to the Theory of Queues (1963)Introduction to the Theory of…Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)Approximating a Point Process by a Renewal Process, II: Superposition Arrival Processes to Queues (1984)A multiclass feedback queue in heavy traffic (1988)The semi-markovian queue: theory and applications (1990)Computational methods in risk theory: A matrix-algorithmic approach (1992)An introduction to queueing theory (1993)The theory of queues with a single server (1952)Applied Probability and Queues (1987)Taylor series expansions for Poisson-driven $(\max,+$)-linear systems (1996)Queueing Models with Multiple Waiting Lines (2001)Poisson Arrivals See Time Averages (1982)The Queueing Network Analyzer (1983)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Variability Functions for Parametric-Decomposition Approximations of Queueing Networks (1995)Partitioning Customers into Service Groups (1999)Waiting Times When Queues are in Tandem (1957)On Approximate Computer System Models (1975)Extensions of infinitesimal perturbation analysis (1988)An Interpolation Approximation for the Mean Workload in a GI/G/1 Queue (1989)Diffusion approximations for queues with server vacations (1990)Analysis and Synthesis of Computer Systems (2010)Approximations of the Mean Waiting Time in an M/G/s Queueing System (1979)On the pathwise computation of derivatives with respect to the rate of a point process: The phantom RPA method (1992)Call admission and routing in multi-service loss networks (1994)Interpolation approximations for symmetric Fork-Join queues (1994)Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Inventory Control in a Fluctuating Demand Environment (1993)To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems (2003)Queueing Networks: A Survey of Their Random Processes (1985)Deciding Which Queue to Join: Some Counterexamples (1986)An Introduction to Numerical Transform Inversion and Its Application to Probability Models (2000)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)Programming and Control Problems Arising from Optimal Routing in Telephone Networks* (1966)Entropy maximisation and queueing network models (1994)Multistage Constructions of Linear Compressors, Non-Overtaking Delay Lines, and Flexible Delay Lines (2006)The N/G/1 queue and its detailed analysis (1980)M/G/1 queue with multiple working vacations (2005)
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References

  • 1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
  • 1963Introduction to the Theory of Queues.961 cited
  • 1966Mathematical Theory of Connecting Networks and Telephone Traffic812 cited
  • 1963Introduction to the Theory of Queues420 cited
  • 1966Mathematical Theory of Connecting Networks and Telephone Traffic.293 cited
  • 1989Open Queueing Systems in Light Traffic111 cited
  • 1989Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue79 cited
  • 1986An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals70 cited
  • 1992The MacLaurin series for the GI/G/1 queue63 cited
  • 1988An Interpolation Approximation for Queueing Systems with Poisson Input62 cited
  • 1983A Light-Traffic Theorem for Multi-Server Queues55 cited
  • 1985The queue GI/G/1: Finite moments of the cycle variables and uniform rates of convergence53 cited
  • 1983Technical Note—A Note on Waiting Times in Single Server Queues41 cited
  • 1995Pade approximation for stochastic discrete-event systems37 cited
  • 1992Light Traffic Equivalence in Single-Server Queues23 cited

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  • 1991Light Traffic Approximations in Queues22 cited
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