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A Waiting Line Process of Markov Type
3 references·16 citing·46 second hop
A Waiting Line Process of Markov Type (1956)A Waiting Line Process of Markov TypeA Continuous Time Treatment of a Simple Queue using Generating Functions (1954)A Continuous Time Treatment o…Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain (1953)Stochastic Processes Occurrin…Some Problems in the Theory of Queues (1951)Some Problems in the Theory o…The RESET and MARC techniques, with application to multiserver-job analysis (2023)The RESET and MARC techniques…Fundamental characteristics of queues with fluctuating load (2006)Fundamental characteristics o…An Exact Solution for an M(t)/M(t)/1 Queue with Time-Dependent Arrivals and Service (2002)An Exact Solution for an M(t)…A sample path analysis of the M t /M t /c queue (1999)A sample path analysis of the…Two parallel processors with coupled inputs (1992)Two parallel processors with …The transient solution of time-dependent M/M/1 queues (1991)The transient solution of tim…Calculating time-dependent performance measures for the M/M/1 queue (1989)Calculating time-dependent pe…Use of Polya distributions in approximate solutions to nonstationary M/M/s queues (1981)Use of Polya distributions in…Time-Dependent Queueing Approach To Helicopter Allocation For Forest Fire Initial-Attack* (1979)Time-Dependent Queueing Appro…The M/M/∞ Queue with Varying Arrival and Departure Rates (1976)The M/M/∞ Queue with Varying …Approximating the Behavior of Nonstationary Single-Server Queues (1975)Approximating the Behavior of…Diffusion limits for congestion models (1973)Diffusion limits for congesti…The Continuous Time Solution of the Equations of the Single Channel Queue with a General Class of Service-Time Distributions by the Method of Generating Functions (1958)The Continuous Time Solution …A Difference Equation Technique Applied to the Simple Queue (1958)A Difference Equation Techniq…Some Further Results in the Non-Equilibrium Theory of a Simple Queue (1957)Some Further Results in the N…Résumé of Useful Formulas in Queuing Theory (1957)Résumé of Useful Formulas in …Queueing Systems. Volume 1: Theory (1975)Theory, Volume 1, Queueing Systems (1975)Fundamentals of Queueing Theory. (1977)Transient exponential-Erlang queues and steady-state simulation (1985)Diffusion Approximations for Time-Dependent Queueing Systems (1986)Approximating nonstationaryPh(t)/M(t)/s/c queueing systems (1987)Queues with time-dependent arrival rates I—the transition through saturation (1968)A Closure Approximation for the Nonstationary M / M / s Queue (1979)Transient behavior of the M/M/l queue: Starting at the origin (1987)Numerical Solution of Piecewise-Stationary Mt/Gt/1 Queues (1997)Using the discrete time modelling approach to evaluate the time-dependent behaviour of queueing systems (1999)On some time non-homogeneous queueing systems with catastrophes (2014)Investigation of waiting time problems by reduction to Markov processes (1955)Air-Terminal Queues under Time-Dependent Conditions (1972)On the service system MX/G/∞ (1983)Exact and asymptotic solutions to a PDE that arises in time-dependent queues (2000)Elements of Queueing Theory (2014)Introduction to Congestion Theory in Telephone Systems. (1961)Fundamentals of Queueing Theory. (1986)Transient behavior of the M/M/ 1 queue via Laplace transforms (1988)Transient analysis of the M/M/1 queue (1993)Transient analysis of the M/M/1 queue (1993)Moments of first passage times in general birth–death processes (2007)Many server queueing processes with Poisson input and exponential service times (1958)Queuing Problems with Heterogeneous Arrivals and Service (1971)A Diffusion Approximation for Bulk Queues (1981)Robust Multiclass Queuing Theory for Wait Time Estimation in Resource Allocation Systems (2018)Two queues in parallel (1977)Two Parallel Queues Created by Arrivals with Two Demands I (1984)Two Parallel Queues Created by Arrivals with Two Demands II (1985)Asymptotics of first passage times for random walk in an orthant (1999)The Effectiveness of Several Performance Bounds for Capacitated Production, Partial-Order-Service, Assemble-to-Order Systems (2003)Tail asymptotics for a generalized two-demand queueing model—a kernel method (2011)The theory of queues with a single server (1952)Imbedded Markov Chain Analysis of a Waiting-Line Process in Continuous Time (1959)The Analysis of Simulation-Generated Time Series (1967)Processor sharing: A survey of the mathematical theory (2007)Stochastic Properties of Waiting Lines (1955)An Elementary Method of Solution of the Queueing Problem with a Single Server and Constant Parameters (1956)The queueing system MX/G/1 and its ramifications (1979)On the stationary waiting-time distribution in the GI/G/ 1 queue, I: Transform methods and almost-phase-type distributions (1987)Fractional Erlang queues (2019)On the Stochastic Matrices Associated with Certain Queuing Processes (1953)On Queueing Processes with Bulk Service (1954)Control Techniques for Complex Networks (2007)On Queues in Heavy Traffic (1962)
this work references cited by second hop

References

  • 1953Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain1,082 cited
  • 1951Some Problems in the Theory of Queues653 cited
  • 1954A Continuous Time Treatment of a Simple Queue using Generating Functions122 cited

Cited by

  • 1992Two parallel processors with coupled inputs54 cited
  • 1981Use of Polya distributions in approximate solutions to nonstationary M/M/s queues52 cited
  • 1989Calculating time-dependent performance measures for the M/M/1 queue47 cited
  • 1991The transient solution of time-dependent M/M/1 queues41 cited
  • 1976The M/M/∞ Queue with Varying Arrival and Departure Rates36 cited
  • 1958The Continuous Time Solution of the Equations of the Single Channel Queue with a General Class of Service-Time Distributions by the Method of Generating Functions36 cited
  • 1975Approximating the Behavior of Nonstationary Single-Server Queues33 cited
  • 1979Time-Dependent Queueing Approach To Helicopter Allocation For Forest Fire Initial-Attack*33 cited
  • 2006Fundamental characteristics of queues with fluctuating load27 cited
  • 1957Résumé of Useful Formulas in Queuing Theory26 cited
  • 2023The RESET and MARC techniques, with application to multiserver-job analysis22 cited

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  • 2002An Exact Solution for an M(t)/M(t)/1 Queue with Time-Dependent Arrivals and Service22 cited
  • 1999A sample path analysis of the M t /M t /c queue21 cited
  • 1957Some Further Results in the Non-Equilibrium Theory of a Simple Queue21 cited
  • 1973Diffusion limits for congestion models17 cited
  • 1958A Difference Equation Technique Applied to the Simple Queue16 cited