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Diffusion approximation to a queueing system with time-dependent arrival and service rates
10 references·5 citing·42 second hop
Diffusion approximation to a queueing system with time-dependent arrival and service rates (1995)Diffusion approximation to a queueing sys…Analysis and Synthesis of Computer Systems (2010)Analysis and Synthesis of Com…Asymptotic Analysis of the Time Dependent M/M/1 Queue (1985)Asymptotic Analysis of the Ti…Open Queueing Networks in Heavy Traffic (1984)Open Queueing Networks in Hea…Time-Dependent Queues (1982)Time-Dependent QueuesAnalysis and synthesis of computer systems (1982)Analysis and synthesis of com…Queueing Systems. Vol. II -- Computer Applications (1977)Queueing Systems. Vol. II -- …Queueing Systems, Vol. II: Computer Applications. (1977)Queueing Systems, Vol. II: Co…A Diffusion Model Approximation for the GI/G/1 Queue in Heavy Traffic (1975)A Diffusion Model Approximati…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 …Facilitating Numerical Solutions of Inhomogeneous Continuous Time Markov Chains Using Ergodicity Bounds Obtained with Logarithmic Norm Method (2020)Facilitating Numerical Soluti…Two time-varying and state-dependent fluid queuing models for traffic circulation systems (2019)Two time-varying and state-de…M/M/1 queue in two alternating environments and its heavy traffic approximation (2018)M/M/1 queue in two alternatin…Queueing network models for analysis of nonstationary manufacturing systems (2017)Queueing network models for a…Nonstationary Markovian queues (2000)Nonstationary Markovian queuesThe theory of queues with a single server (1952)A Proof for the Queuing Formula: L = λ W (1961)Multiple channel queues in heavy traffic. I (1970)Optimal control of an M/G/1 queuing system with removable server via diffusion approximation (1981)Refining diffusion approximations for queues (1982)Interpolation approximations for queues in series (2012)Networks of Waiting Lines (1957)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)On Queues in Heavy Traffic (1962)Closed Queuing Systems with Exponential Servers (1967)On Approximate Computer System Models (1975)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Approximate Methods for Analyzing Queueing Network Models of Computing Systems (1978)An Approximate Analytical Method for General Queueing Networks (1979)Analytic modeling of interactive systems (1975)State of the Art—Networks of Queues: A Survey of Weak Convergence Results (1978)Applications of Queueing Theory (1985)Transient analysis of manufacturing systems performance (1994)Queues with time-dependent arrival rates. III — A mild rush hour (1968)Applications of Queueing Theory. (1971)A Closure Approximation for the Nonstationary M / M / s Queue (1979)Asymptotic Analysis of a State-Dependent $M/G/1$ Queueing System (1986)Singularly perturbed Markov chains: Limit results and applications (2007)On some time non-homogeneous queueing systems with catastrophes (2014)Fundamentals of Queueing Theory. (1977)Fundamentals of queueing theory (2nd ed.). (1985)The Analysis of Queues with Time-Varying Rates for Telecommunication Models (2002)Nonstationary Queues: Estimation of the Rate of Convergence (2004)Revenue Management of Reusable Resources with Advanced Reservations (2016)Stochastic Models of Computer Communication Systems (1985)G-networks by triggered customer movement (1993)On the Efficiency-Fairness Trade-off (2012)Processor-sharing queues: Some progress in analysis (1987)Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Closed Network (1990)On Pooling in Queueing Networks (1998)A maximum entropy analysis of the M/G/1 and G/M/1 queueing systems at equilibrium (1983)Performance Analysis Techniques for IC Manufacturing Lines (1986)Towards better multi-class parametric-decomposition approximations for open queueing networks (1994)Integral Representations and Asymptotic Expansions for Closed Markovian Queueing Networks: Normal Usage (1982)Waiting time distributions in the accumulating priority queue (2013)
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References

  • 2010Analysis and Synthesis of Computer Systems467 cited
  • 1984Open Queueing Networks in Heavy Traffic449 cited
  • 1977Queueing Systems, Vol. II: Computer Applications.308 cited
  • 1974Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions258 cited
  • 1982Analysis and synthesis of computer systems169 cited
  • 1977Queueing Systems. Vol. II -- Computer Applications158 cited
  • 1974Application of the Diffusion Approximation to Queueing Networks II: Nonequilibrium Distributions and Applications to Computer Modeling88 cited
  • 1985Asymptotic Analysis of the Time Dependent M/M/1 Queue85 cited
  • 1975A Diffusion Model Approximation for the GI/G/1 Queue in Heavy Traffic56 cited
  • 1982Time-Dependent Queues45 cited

Cited by

  • 2019Two time-varying and state-dependent fluid queuing models for traffic circulation systems31 cited
  • 2020Facilitating Numerical Solutions of Inhomogeneous Continuous Time Markov Chains Using Ergodicity Bounds Obtained with Logarithmic Norm Method22 cited
  • 2017Queueing network models for analysis of nonstationary manufacturing systems20 cited
  • 2000Nonstationary Markovian queues20 cited
  • 2018

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M/M/1 queue in two alternating environments and its heavy traffic approximation
19 cited