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Computing the Waiting Time Distribution for the G/G/1 Queue by Signal Processing Methods
2 references·11 citing·41 second hop
Computing the Waiting Time Distribution for the G/G/1 Queue by Signal Processing Methods (1980)Computing the Waiting Time Distribution f…On the distribution of queueing times (1953)On the distribution of queuei…The theory of queues with a single server (1952)The theory of queues with a s…An analytical method for the calculation of the waiting time distribution of a discrete time G/G/1-queueing system with batch arrivals (2006)An analytical method for the …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…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 …Discrete time queues and matrix-analytic methods (2002)Discrete time queues and matr…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…Alternative Numerical Solutions of Stationary Queueing-Time Distributions in Discrete-Time Queues: GI/G/ 1 (1993)Alternative Numerical Solutio…Queue length distributions from probability generating functions via discrete fourier transforms (1989)Queue length distributions fr…A Moment-Iteration Method for Approximating the Waiting-Time Characteristics of the GI/G/1 Queue (1989)A Moment-Iteration Method for…Bilateral phase‐type distributions (1985)Bilateral phase‐type distribu…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)Fundamentals of Queueing Theory. (1977)Queueing Systems, Vol. II: Computer Applications. (1977)Stochastic Modelling and Analysis: A Computational Approach. (1987)Performance analysis of the discrete-time GI/Geom/1/N queue (1996)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)Introduction to Queueing Theory (1982)An introduction to queueing theory (1993)Computing queue-length distributions for power-law queues (2002)A complete and simple solution for a discrete-time multi-server queue with bulk arrivals and deterministic service times (2003)Time-limited polling systems with batch arrivals and phase-type service times (2011)Time Series Analysis Forecasting and Control. (1971)Time Series Analysis: Forecasting and Control (1977)Applied Probability and Queues (1987)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)Simple approximations for the reorder point in periodic and continuous review (s, S) inventory systems with service level constraints (1984)An algorithm for Ph/Ph/c queues (1986)On multi-stage production/inventory systems under stochastic demand (1994)Matrix?geometric analysis of the discrete time Gi/G/1 system (2001)Determination of an order-up-to policy in the stochastic economic lot scheduling model (2003)Some Problems in the Theory of Queues (1951)The Life and Works of A. K. Erlang. (1951)Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)Analysis, Design, and Control of Queueing Systems (2002)The Solution of the Single-Channel Queuing Equations Characterized by a Time-Dependent Poisson-Distributed Arrival Rate and a General Class of Holding Times (1956)On up- and downcrossings (1977)Manufacturing lead times, system utilization rates and lead-time-related demand (1996)Pricing and ordering strategies in manufacturing and distribution alliances (1997)Risk modelling with the mixed Erlang distribution (2010)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)Age Process, Workload Process, Sojourn Times, and Waiting Times in a Discrete Time SM[K]/PH[K]/1/FCFS Queue (2005)
this work references cited by second hop

References

  • 1952The theory of queues with a single server876 cited
  • 1953On the distribution of queueing times195 cited

Cited by

  • 1985Bilateral phase‐type distributions52 cited
  • 2002Discrete time queues and matrix-analytic methods46 cited
  • 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
  • 1989A Moment-Iteration Method for Approximating the Waiting-Time Characteristics of the GI/G/1 Queue35 cited
  • 1989Queue length distributions from probability generating functions via discrete fourier transforms28 cited
  • 1993Alternative Numerical Solutions of Stationary Queueing-Time Distributions in Discrete-Time Queues: GI/G/ 121 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
  • 2006An analytical method for the calculation of the waiting time distribution of a discrete time G/G/1-queueing system with batch arrivals16 cited
  • 1996On steady-state queue size distributions of the discrete-time GI/G/1 queue15 cited

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