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An Elementary Solution of the Queuing System G/G/1
1 references·15 citing·37 second hop
An Elementary Solution of the Queuing System G/G/1 (1975)An Elementary Solution of the Queuing Sys…The theory of queues with a single server (1952)The theory of queues with a s…Relaxation Time for the Discrete D/G/1 Queue (2005)Relaxation Time for the Discr…Combined Elapsed Time and Matrix-Analytic Method for the Discrete Time GI/G/1 and GI X /G/1 Systems (2003)Combined Elapsed Time and Mat…A complete and simple solution for a discrete-time multi-server queue with bulk arrivals and deterministic service times (2003)A complete and simple solutio…The waiting time analysis of a discrete-time queue with arrivals as a discrete autoregressive process of order 1 (2002)The waiting time analysis of …On Numerical Computations of Some Discrete-Time Queues (2000)On Numerical Computations of …Numerical approximations for the steady‐state waiting times in a GI/G/1 queue (1999)Numerical approximations for …A new approach to the Lindley recursion (1997)A new approach to the Lindley…On steady-state queue size distributions of the discrete-time GI/G/1 queue (1996)On steady-state queue size di…On steady-state queue size distributions of the discrete-time GI / G /1 queue (1996)On steady-state queue size di…An operational calculus for probability distributions via Laplace transforms (1996)An operational calculus for p…A polynomial factorization approach to the discrete time GI/G/1/(N) queue size distribution (1995)A polynomial factorization ap…Analysis of polling systems with general input process and finite capacity (1992)Analysis of polling systems w…An analytic solution of the waiting time distribution for the discrete-time GI/G/1 queue (1991)An analytic solution of the w…Chapter 5 Computational methods in probability theory (1990)Chapter 5 Computational metho…On the stationary waiting-time distribution in the GI/G/ 1 queue, I: Transform methods and almost-phase-type distributions (1987)On the stationary waiting-tim…Fundamentals of Queueing Theory. (1977)Applied Probability and Queues (1987)Queueing system with multiple delay and loss priorities for ATM networks (2001)Applied Probability and Queues (2003)Performance analysis and optimal control of the Geo/Geo/c queue (2003)Analyzing discrete-time D-BMAP/G/1/N queue with single and multiple vacations (2006)Matrix-Geometric Solutions to Stochastic Models (1984)New results on the single server queue with a batch markovian arrival process (1991)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Algorithmic analysis of the discrete time GIX/GY/1 queueing system (2008)A First Course in Bulk Queues (1983)A First Course in Bulk Queues. (1984)Discrete-Time Models for Communication Systems Including ATM (1993)An Invariance Relation and a Unified Method to Derive Stationary Queue-Length Distributions (2004)Equivalences of Batch-Service Queues and Multi-Server Queues and Their Complete Simple Solutions in Terms of Roots (2006)Modeling and Performance Analysis of a Finite-Buffer Queue with Batch Arrivals, Batch Services, and Setup Times: The MX/GY/1/K + B Queue with Setup Times (2006)A single-server queue with server vacations and a class of non-renewal arrival processes (1990)Analysis of Open Discrete Time Queueing Networks: A Refined Decomposition Approach (1996)Semi‐Markovian modelling and performance analysis of variable rate traffic in ATM networks (1997)Polynomial Factorization for Servers with Semi-Markovian Workload: Performance and Numerical Aspects of a Verified Solution Technique (2005)Matrix-geometric solutions in stochastic models (1985)Comparison Methods for Queues and Other Stochastic Models. (1986)Limits and Approximations for the Busy-Period Distribution in Single-Server Queues (1995)Limits and approximations for the M/G/1 LIFO waiting-time distribution (1997)Modeling service–time distributions with non–exponential tails:beta mixtures of exponentials (1999)Time Series Analysis Forecasting and Control. (1971)Time Series Analysis: Forecasting and Control (1977)The analysis of a multiserver queue fed by a discrete autoregressive process of order 1 (2003)A queueing system with discrete autoregressive arrivals (2006)Tail behavior of the queue size and waiting time in a queue with discrete autoregressive arrivals (2006)On the distribution of queueing times (1953)The Bulk Service Queue with a General Control Strategy: Theoretical Analysis and a New Computational Procedure (1986)Simple Inequalities for the D/G/1 Queue (1987)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)An introduction to queueing theory (1993)Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks (2003)Data-driven robust optimization (2017)
this work references cited by second hop

References

  • 1952The theory of queues with a single server876 cited

Cited by

  • 1996An operational calculus for probability distributions via Laplace transforms46 cited
  • 2002The waiting time analysis of a discrete-time queue with arrivals as a discrete autoregressive process of order 135 cited
  • 2000On Numerical Computations of Some Discrete-Time Queues32 cited
  • 2003A complete and simple solution for a discrete-time multi-server queue with bulk arrivals and deterministic service times24 cited
  • 2003Combined Elapsed Time and Matrix-Analytic Method for the Discrete Time GI/G/1 and GI X /G/1 Systems20 cited
  • 1995A polynomial factorization approach to the discrete time GI/G/1/(N) queue size distribution18 cited
  • 1987On the stationary waiting-time distribution in the GI/G/ 1 queue, I: Transform methods and almost-phase-type distributions17 cited
  • 1996On steady-state queue size distributions of the discrete-time GI/G/1 queue15 cited
  • 1996On steady-state queue size distributions of the discrete-time GI / G /1 queue13 cited
  • 1992Analysis of polling systems with general input process and finite capacity13 cited
  • 2005Relaxation Time for the Discrete D/G/1 Queue12 cited
  • 1997A new approach to the Lindley recursion11 cited
  • 1991An analytic solution of the waiting time distribution for the discrete-time GI/G/1 queue

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11 cited
  • 1990Chapter 5 Computational methods in probability theory11 cited
  • 1999Numerical approximations for the steady‐state waiting times in a GI/G/1 queue10 cited